Therefore ,the solution of the given problem of triangle comes out to be
area is 84 inch square.
Describe the triangle.Since a triangle has number of sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker assigned to a triangle that has edges A, B, and C. So when three components are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and triple corners. The points where the three parts meet are known as the triangle's corners. The product of three triangle angles is 180 degrees.
Here,
Given : 7 inch , 25 inch and 24 inch.
To find the area of the triangle :
vertices are 7inch , 25inch and 24inch
Since from given vertices we can see it is an right angle triangle:
thus,
=> Area = 1/2 * base * height
=> Area = 1/2 * 24 * 7
=> Area = 12*7
=> Area = 84 inch square
Therefore ,the solution of the given problem of triangle comes out to be
area is 84 inch square.
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kite is flying 79 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 57º. Find the length of the string. Round your answer to
the nearest tenth.
Check the picture below.
Make sure your calculator is in Degree mode.
7. Use substitution to write an equivalent quadratic equation for the polynomial below. Then solve
for the roots by factoring.
Find the Real Roots and Imaginary Roots.
Quadratic Equation:
Real Roots:
Imaginary Roots:
x4 + 9x²-10 = 0
There are four real roots for the quadratic-like equation x⁴ + 9 · x² - 10 = 0: x₁ = + √(- 9 / 2 + 11 / 2), x₂ = + √(- 9 / 2 - 11 / 2), x₃ = - √(- 9 / 2 + 11 / 2) and x₄ = - √(- 9 / 2 - 11 / 2)
How to solve a quadratic-like equation by factoring
In this problem we find a quadratic-like equation of the form a · x²ⁿ + b · xⁿ + c = 0, where a, b, c are real coefficients and whose roots must be found. This can be done by completing the square and clear variable x. First, write the polynomial:
x⁴ + 9 · x² - 10 = 0
Second, use the following substitution: u = x²
u² + 9 · u - 10 = 0
Third, complete the square:
u² + 9 · u + 81 / 4 = 10 + 81 / 4
u² + 9 · u + 81 / 4 = 121 / 4
Fourth, factor the expression and clear variable u:
(u + 9 / 2)² = 121 / 4
u + 9 / 2 = ± 11 / 2
u = - 9 / 2 ± 11 / 2
Fifth, reverse the substitution and clear variable x:
x² = - 9 / 2 ± 11 / 2
x = ±√(- 9 / 2 ± 11 / 2)
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Ramon plans to sell his car and places an ad with x lines. The newspaper charges y dollars for the first g lines and p dollars per extra line to run the ad for a week. If x>g, express the cost of running the ad for a week algebraically.
The algebraic equation that expresses the cost, C, of running the Ad Ramon plans to place in the newspaper where the cost of the first g Ad is y dollars and the cost per extra line is p dollars is; C = y + (x - g)×p
What is an algebraic equation?An algebraic equation contains two algebraic expressions, indicated to be of the same quality or quantity by joining them with a '='. It is a statement that the two expressions on either side of the '=' are equal or equivalent.
The number of lines in the Ad Ramon plans to place in the newspaper = x lines
The amount the newspaper charges for the first g lines = y dollars per week
The amount the newspaper charges for the extra lines = p dollars per week
The possible number of lines in Ramon's Ad = x > g
The cost of running the Ad per week, where x > g is therefore;
The cost for the first g lines added to the cost of the extra lines
The cost of the first g lines = y
The number of extra lines = x - p
The cost of the extra lines is therefore;
Cost of extra lines = (x - g) × p
The cost of running the Ad Ramon plans to place in the newspaper for a week is therefore;
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You are driving on a highway and are about 140 miles from a state border. You set your cruise control at 60 miles per hour
and plan to turn it off within 30 miles of the border on either side. Find the minimum and maximum numbers of hours you
will have cruise control on.
Using the absolute value function, we have that:
The minimum time is of 1.833 hours.
The maximum time is of 2.833 hours.
What is the absolute value function?The absolute function is defined by:
|x| = x, x ≥ 0.
|x| = -x, x < 0.
It measures the distance of a point x to the origin, hence |2| = |-2| = 2.
here, we have,
In this problem, the minimum and maximum distances are within 30 miles of 140, hence:
|d - 140| = 30.
The minimum distance is of:
d - 140 = -30
d = 110.
Hence the minimum time(distance divided by velocity) is:
110/60 = 1.833 hours.
The maximum distance is of:
d - 140 = 30
d = 170.
Hence the maximum time(distance divided by velocity) is:
170/60 = 2.833 hours.
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Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube (I)6655
Answer:
Step-by-step explanation:
yooyyo
At the ruins of Caesarea, archaeologists discovered a huge hydraulic concreate block with a
volume of 945 cubic meters. The block's dimensions are x meters high by 12x-15 meters
long by 12x-21 meters wide. Find the dimensions of the block.
Dimension is a term used to describe the length, width, and height of an item, such as a box, in common usage.
What is mean by dimension ?In mathematics, a dimension is a way of describing the length or width of an area, a space, or an object as viewed from one particular angle. The measurement of anything's length, width, and height can be put more simply. Typical ways to express dimensions include: Length.
There are three dimensions in everything around us, including the buildings we live in and the items we use on a daily basis.
something's height, length, or width measured in a specific direction: 26 feet by 15 feet is the room's size.
In everyday speech, a dimension is the sum of an object's length, width, and height that describes the size of an object, like a box. A line is one dimension, a plane is two dimensions, and space is three dimensions. In mathematics, the concept of dimension is an extension of these ideas.
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Which of the following is the equation that represents the graph?
Graph of a line the passes through the points negative 6 comma 0 and 0 comma negative 4.
y equals negative two thirds times x minus 6
y equals negative three halves times x minus 6
y equals negative two thirds times x minus 4
y equals negative three halves times x minus 4
The equation of line is y = -2/3x - 4, option C is correct.
What is slope of a line?
A line's slope is defined as the ratio of the change in y coordinate to the change in x coordinate.
Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.
Given coordinates
(-6, 0) and (0, -4)
equation of line is y = mx + c
m = (y₂ - y₁)/(x₂ - x₁)
m = (-4 - 0)/(0 + 6)
m = -2/3
and c is y-intercept = -4
equation is y = mx + c
y = -2/3x - 4
Hence option C is correct.
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Answer:
The equation of line is y = -2/3x - 4, option C is correct.
Step-by-step explanation:
Someone please help me I need to pass this before 5 o clock
By the property of parallelograms that diagonals are equal in length and they bisect each other we have determined the values of x and y.
What is a parallelogram?A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.
The area of a parallelogram is base multiples by height as two triangles form a parallelogram.
We know the diagonals of a parallelogram are equal and they bisect each other, From this property, we can write,
OA = OC.
x + 23 = 31.
x = 31 - 23.
x = 8 units.
XZ = 2(OX).
26 = 2(- 44 + x).
26 = - 88 + 2x.
2x = 114.
x = 57 units.
OL = OJ
8x - 56 = 24.
8x = 80.
x = 10.
OM = OK.
36 = 4y + 20.
4y = 16.
y = 4.
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differentiate f(x) =5√x using first principle
Answer: To differentiate a function using the first principle, we first need to know the function and it's original value. Given that the function is f(x) = 5√x .
The first principle of differentiation states that the derivative of a function f(x) at a point x is approximately equal to the change in f(x) for an infinitesimal change in x. We can use this principle to find the derivative of a function f(x) at a point x by calculating the limit of the ratio (f(x+dx)-f(x))/dx as dx approaches zero.
To differentiate f(x) = 5√x with respect to x using the first principle, we take the following steps:
Find the change in f(x) as x changes by dx, which is f(x + dx) - f(x)
Divide that change by dx to find the slope of the function at that point
Take the limit of that slope as dx approaches zero
So:
f(x + dx) = 5√(x + dx)
f(x) = 5√x
change in f(x) = f(x + dx) - f(x) = 5√(x + dx) - 5√x
slope = change in f(x) / dx
= (5√(x + dx) - 5√x) / dx
The limit as dx approaches zero is the derivative of the function,
lim (dx->0) [(5√(x + dx) - 5√x) / dx]
= lim (dx->0) [(5(x+dx)^1/2 - 5x^1/2) / dx]
= 5 * lim (dx->0) [(x+dx)^1/2 - x^1/2] / dx
= 5 * (1/2)x^(-1/2)
So the derivative of the function f(x) = 5√x is (5/2)x^(-1/2)
This is the slope of the function at a point x, which is the rate of change of the function at that point x.
Step-by-step explanation:
Solve 2 log x = log 64.
x= 1.8
x=8
x= 32
x=128
x=8.
Step-by-step explanation:1. Write the expression.[tex]2log(x)=log(64)[/tex]
2. Divide both sides of the equation by "2".[tex]\frac{2log(x)}{2} =\frac{log(64)}{2}\\ \\log(x)=\frac{log(64)}{2}[/tex]
3. Apply number "10" as the base of an exponent of each side of the equation.When a logarithm doesn't have it's base expressed (base is tipically written as a subscript) we can assume it'sbase is 10. Therefore, to solve this equation, take the following step:
[tex]10^{log(x)} =10^{\frac{log(64)}{2}} \\ \\x=10^{\frac{log(64)}{2}}\\ \\x=8[/tex]
4. Verify the answer.If the result is correct, then the equation should return the same value of both sides of the equal symbol (=) when we substitute the variable "x" by it's calculated value, 8.
[tex]2log(8)=log(64)\\ \\1.806179974=1.806179974[/tex]
As you can tell, the same number appears on both sides of the equal symbol, this means that the result is correct!
Answer:
x = 8
Step-by-step explanation:
Given expression:
[tex]2\log x=\log 64[/tex]
[tex]\textsf{Apply the log power law}: \quad n\log x=\log x^n[/tex]
[tex]\implies \log x^2=\log 64[/tex]
Rewrite 64 as 8²:
[tex]\implies \log x^2=\log 8^2[/tex]
[tex]\textsf{Apply the log equality law}: \quad \textsf{If\;\;$\log x=\log y$\;\;then\;\;$x=y$}[/tex]
[tex]\implies x^2=8^2[/tex]
Square root both sides:
[tex]\implies x=8[/tex]
Identify the sequence that lists sides of A STU in order from shortest to longest.
U
65°
S
45°
T
The sequence that lists the sides of the given triangle STU in order from shortest to longest is, US<ST<UT.
What are the three types of triangles based on their sides?The three types of triangles based on their sides are: equilateral, isosceles and scalene.
What are the three types of triangles based on their angles?The three types of triangles based on their angles are: acute, right and obtuse.
To find the sequence of length from shortest to longest we first need to find the missing angle S,
we're given,
angle U = 65
angle T = 45
Using the property of sum of interior angles of a traingle,
U + T + S = 180 degrees
or, 65 + 45+ S =180
therefore, S = 70
As we know the side opposite to the largest angle is the longest, hence the sequence becomes, US<ST<UT.
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Without changing the order of the numbers, write an equivalent expression for 8 + (-9)
Answer:
-1
Step-by-step explanation:
Step-by-step explanation:
8 + (-9) is an expression that represents the mathematical operation of adding 8 and -9.
An equivalent expression for 8 + (-9) is 8-9 which is the same as 8 + (-9)
Both expressions are equivalent and have the same value, which is -1.
So, 8 + (-9) and 8-9 are equivalent expressions.
First one to answer gets brainlest
Square root of 42.25
Answer:
Square root of 42.25 is 6.5
The square root of 42.25 is 6.5.
To find the square root of 42.25, we need to determine the number that, when multiplied by itself, equals 42.25. In this case, the square root of 42.25 is 6.5 because 6.5 multiplied by itself (6.5 x 6.5) equals 42.25.
Mathematically, it can be represented as:
√42.25
= 6.5
The square root (√) is the inverse operation of squaring a number.
When we square a number, we multiply it by itself.
In this case, squaring 6.5 (6.5 x 6.5) gives us the original value of 42.25.
Therefore, the square root of 42.25 is 6.5.
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A rectangular mural measures 3.5 feet by 5.5 feet. what is the perimeter?
The perimeter of the rectangular mural is 18feets
What is perimeter of a rectangle?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.
The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. l is in this case the length of the rectangle while w is the width of the rectangle. The perimeter, P, is: P=l+l+w+w
P = 2l + 2w = 2(l+w)
The length of the rectangular mural = 3.5 feet
the width = 5.5 width
Therefore the perimeter = 2( 3.5+5.5)
= 2×9 = 18feets
therefore the perimeter of the mural is 18feets
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[tex]\frac{5}{x} -\frac{10}{x^{2}+2x }[/tex]
The factorized form of the given expression is [tex]\frac{ \textbf5}{( \textbf{x + 2})}[/tex].
What is factorisation form?In mathematics, factorisation or factoring is defined as the breaking or decomposition of an entity (for example, a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number or matrix, etc. This concept will be emphasised heavily in your lower secondary classes from grades 6 to 8.
It is simply the division of an integer or polynomial into factors that, when multiplied together, result in the original or initial integer or polynomial. The factorisation method simplifies any algebraic or quadratic equation by representing it as the product of factors rather than expanding the brackets.
Given to simply the expression
⇒ [tex]$ \frac{5}{x} - \frac{10}{x^2 + 2x}[/tex]
[tex]$ \Rightarrow \frac{5}{x} - \frac{10}{x(x + 2)}[/tex]
[tex]$ \Rightarrow \frac{5(x + 2)}{x(x + 2)} - \frac{10}{x(x + 2)}[/tex]
[tex]$ \Rightarrow \frac{5(x + 2) - 10}{x(x + 2)}[/tex]
[tex]$ \Rightarrow \frac{5x + 10 - 10}{x(x + 2)}[/tex]
[tex]$ \Rightarrow \frac{5x}{ x(x + 2)}[/tex]
[tex]$ \Rightarrow \frac{ \textbf5}{( \textbf{x + 2})}[/tex]
Thus, the factorized form of the given expression is [tex]\frac{ \textbf5}{( \textbf{x + 2})}[/tex].
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How to test the normality of regression ?
A spinner has equal regions numbered 1 through 16. What is the probability that the spinner will stop on an even number or a multiple of 3? Write your answer as a decimal rounded to four decimal places if necessary.
Answer: The probability of an event happening is the number of successful outcomes (also known as favorable outcomes) divided by the total number of possible outcomes.
In this case, the spinner has 16 equal regions numbered from 1 to 16, so the total number of possible outcomes is 16.
The spinner will stop on an even number or a multiple of 3 when it stops on one of these numbers: {2, 4, 6, 8, 10, 12, 14, 16, 3, 9, 15}. So the number of successful outcomes is 11.
Therefore, the probability that the spinner will stop on an even number or a multiple of 3 is:
11 / 16
This can be simplified to 11/16, which is equivalent to 0.6875 as a decimal. Rounded to four decimal places, it is 0.6875.
Alternatively, you could divide the 11 favorable outcomes by the 16 possible outcomes and also multiply by 100 to convert it to percentage point probability.
Step-by-step explanation:
What is a prime number and a composite number?
give an example of both prime and composite number and explain why its that.
A composite number is any positive integer that can be formed by multiplying two other positive integers.
What are composite numbers?Any positive integer that may be created by multiplying two other positive integers is referred to as a composite number.
A prime number is a natural number greater than one that cannot be calculated as the product of two smaller natural numbers. A composite number is a natural number greater than one that is not prime.
It is, in other words, a positive integer that has at least one divisor besides itself and the number 1.
Solving an example to explain the composite number.
The first five composite numbers are 4, 6, 8, 9, 10, 12, 14, and 15.
They are often referred to as "composites" for short.
So, 33 is a composite number.
Because 33 can be made by multiplying 2 smaller numbers.
The factors of 33 are: 1, 3, 11, 33
So the correct option is (C).
Therefore, 33 is a composite number with factors (C) 1, 3, 11, and 33.
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Brian is a salesman for a wholesome computer parts company. He earn straight commission at a rate of 4% last month is total sales were 82,968. What was his gross income last month
Brian's gross income last month will be $3319.
How to calculate the income?The percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.
From the information, Brian is a salesman for a wholesome computer parts company. He earn straight commission at a rate of 4% last month is total sales were 82,968.
Brian's gross income last month will be:
= 4% × 82968
= $3319
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A farmer has sufficient grains to feed 30 hens for four days. How long will the grains last for 40 hens?
Answer:
Below
Step-by-step explanation:
30 hens x 40 days = 120 hen days of food
120 hen days / 40 hens = 30 days of food for 40 hens
What is the solution to the equation?
4√x-4 = 3
OA. -8
OB. 16
O C.85
O D.no solutions
According to the problem the solution to the equation is x -8.
What is solution?A solution is a means of solving a problem or addressing a challenge. It is a set of actions, processes, or strategies that are put in place to achieve a specific result.
To solve this equation, we need to move the 4 to the other side of the equation which will make the left side equal 0. We can do this by subtracting 4 from both sides of the equation:
4√x-4 = 3
4√x - 4 - 4 = 3 - 4
4√x - 8 = -1
Next, we need to isolate the radical on the left side of the equation. To do this, divide both sides of the equation by 4:
4√x - 8 = -1
(4√x - 8) ÷ 4 = (-1) ÷ 4
√x - 2 = -1/4
Finally, to isolate the radical, we can add 2 to both sides of the equation:
√x - 2 = -1/4
√x - 2 + 2 = -1/4 + 2
√x = -8
Therefore, the solution to the equation is x = -8.
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Identify one pair of corresponding angles in the diagram below.
The pair of corresponding angles in the diagram will be 1 and 5.
What are corresponding angles?When two parallel lines are intersected by another line, corresponding angles are the angles that are created in matching corners or corresponding corners with the transversal (i.e. the transversal).
The angles created when a transversal intersects two parallel lines are known as corresponding angles. The sides in any two-dimensional shape that are in the same position are said to be corresponding sides. Any two polygons must be precisely the same size and shape in order for them to be considered congruent. As a result, each of their interior angles and corresponding sides must have the same measurement.
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1 If we want to find the volume of the child's toy shown below, we will need to find the volumes of which 3D solids? (Mark all that apply)
A Sphere/Hemisphere
B Prism
C Cylinder
D Pyramid
E Cone
F Cube
The solution is Option C , Option E.
The total volume of the toy is the sum of volumes of cone and cylinder
What is a Cone?A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the centre of base) called the apex or vertex.
The volume of a cone is given by the equation
Volume of Cone = ( 1/3 ) πr²h
where r is the radius of the cone
h is the height of the cone
Surface area of the cone = πrl
where l = √ ( b² + r² )
Given data ,
Let the total volume of the child's toy be represented as V
Now , the value of V is
Let the cone be represented as C
The volume of Cone C = ( 1/3 ) πr²h
The radius of the cone r = 5 cm
The height of the cone h = 13 cm
So , the volume of Cone = ( 1/3 ) π ( 5 )² x 13
The volume of Cone = ( 325/3 )π cm³
Now , the volume of cylinder = πr²h
The height of cylinder = 2 cm
The volume of cylinder = π ( 5 )² x 2
The volume of cylinder = 50π cm³
So , the volume of toy = volume of cylinder + the volume of Cone
The volume of toy = ( 325/3 )π cm³ + 50π cm³
The volume of toy = ( 475/3 )π cm³
Hence , the volume of toy is ( 475/3 )π cm³
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Please help me someone
Answer:
6/8
Step-by-step explanation:
1/8+1/4+3/8
1/8+2/8+3/8
Hurry!
The following is a function, true or false?
Answer:
Step-by-step explanation: true
Type the correct answer in each box. Use numerals instead of words.
You reflect triangle PQR, with coordinates P(-4, -4), Q(-1, -3), and R(-3, -1), across the x-axis, across the y-axis, and across the x-axis again to form triangle P′Q′R′.
After these reflections, the coordinates of P′ will be ( ____ , ____ ).
After these reflections, the coordinates of P′ will be ( __4__ , __-4__ ).
What are coordinates?
Coordinates are a pair of numbers that identify a specific point on a coordinate plane, which is a grid of integers. Any point's location on a plane can be described by an ordered pair of values (x, y), which are referred to as coordinates.
Step by step Explaination:
* Let's update a few changes.
If x-axis reflection at position (x, y)
∴ Seeing it is (x , -y)
If the y-axis at position (x, y) was reflected
∴ Seeing it is (-x , y)
* Let's deal with the issue.
The triangle PQR, which is defined by the points P(-4, -4), Q(-1, -3), and R. (-3, -1)
Across the x-axis, the triangle is reflected.
PQR is visible along the x-axis.
All y-coordinates of the vertices P, Q, and R have their signs reversed.
∴ The new points are going to be (-4, 4), (-1, 3), and (-3 , 1)
A reflection of the new vertices along the y-axis will occur.
All of the new vertices' x-coordinates had their signs reversed.
The new points are (4, 4), (1, 3), and (3 , 1).
The updated vertex positions will reflect along the x-axis to produce the letters P'Q'R.
∴ The new vertices' y-coordinates all had their signs flipped.
∴ P' = (4 , -4) , Q' = (1 , -3) , R' = (3 , -1) (3 , -1)
The coordinates of P′ following these reflections will be (4 , -4).
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Which describes the correlation shown in the scatterplot? PLS HURRY
So on solving the provided question given scatter plot shows a negative correlation so correct option is (b).
What is a scatter plot?The values for two different numerical variables are represented by dots in a scatter plot. Each dot's location on the horizontal and vertical axes represents a data point's values. To view relationships between variables, employ scatter plots.
The options given are the following:
A)There is a positive correlation in the data set.
B)There is a negative correlation in the data set.
C)There is no correlation in the data set.
D)More points are needed to determine the correlation.
Positive correlation
We say there is a positive correlation between the variables when the y variable tends to rise when the x variable rises.
Negative correlation
We say there is a negative correlation between the variables when the y variable tends to decrease as the x variable increases.
No correlation
We claim there is no correlation between the two variables when there is no obvious connection between them.
From observing the given graph, we can see that as x value increases, the y value decreases.
So the correlation shown in the scatter plot is a negative correlation.
Therefore the correct option is option(B).
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WILL MARK BRAINLIEST (CORRECT ANSWER)
There are 3 students to 1 adult on a field trip. You need to find the number of adults needed for 24 students. What would the second ratio of the proportion look like if the first proportion is as follows?
3 students/ 1 adult
A. 1/3
B. 24 students/x
C. x/24 students
D. 3/1
Answer:
24 studens
3 students and 1 adult - [tex] \frac{3}{1}
24 students and x adults - [tex]\frac{24}{x}
After solving the answer is 8 adults to 24 kids
Step-by-step explanation:
Julie ordered data collected on a survey and identified one student's answer of 74 as the median. Thirteen answers were below the median. How many people did she question on her survey?
13students;it had already said it.
A commercial jet and a private airplane fly from Denver to Phoenix. It takes the commercial jet 1.2 hours for the flight, and it takes the private airplane 1.8 hours. The speed of the commercial jet is 170 miles per hour faster than the speed of the private airplane. Find the speed, in miles per hour, of both airplanes.
Both planes have a speed of 340 miles per hour and 510 miles per hour, respectively.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
Let tc be the time of commercial jet and tp be the time of private airplane.
Let vc be the speed of commercial jet and vp be the speed of private airplane.
Let dc be the distance of commercial jet and dp be the distance of private airplane.
now,
dc=dp
vc=vp+170
vc*tc=vp*tp
(vp+170)*1.2=vp*1.8
(vp+170)*2=vp*3
2vp+340=3vp
vp=340 miles/hour
vc=340+170
vc=510 miles/ hour
The speed, in miles per hour, of both airplanes is 340 miles per hour and 510 miles per hour.
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