These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.
What exactly is circumcenter?the triangle's circle's center. It is the point where the "perpendicular bisectors," or lines parallel to the centre of both sides, cross.
The intersection of any two perpendicular bisectors of any two triangle sides is known as the circumcenter of a triangle ABC.
The equation y=1 is the perpendicular bisector of sides B(3,0) and C(3,2). Because AB's midpoint is at 3,1 and its slope is unknown. The perpendicular bisector has zero slope. The equation for such a line is y=y1.
The equation for the perpendicular bisector of A(0,0) and B is also x=1.5 (3,0). The reason is that AB has a midpoint of zero slope and (1.5,0). The perpendicular bisector's slope won't be clearly defined. The equation for such a line is x=x1.
These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.
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approximate v46 to the nearest hundredth
Answer:
6.78
Step-by-step explanation:
please help me thank you so much
Answer:
12(7-3) and 2-0.5
Step-by-step explanation:
All the rest are either terms or equations. The top left one is a term, and all the rest have equal signs, so they're equations. Only the bottom left and bottom right ones are expressions.
1.1.2 Quiz: What Is Health?
Question 2 of 10
In order to maintain wellness, the parts of the health triangle always need to
be
Select two responses.
and
A. working together
B. apart from one another
C. independent of one another
D. in balance
Answer:
The World Health Organization (WHO) defines health as 'a state of complete physical, mental and social wellbeing and not merely the absence of disease or infirmity'
25.05+36.05 equal the answer
Answer:
61.1
Step-by-step explanation:
Here, we simply add the two numbers together.
25+36=61
0.5+0.5=1
so, the answer is 61.1
Three friends went to the movies. They shared 4/5 of a candy bar. If they share the bar equally, how much of the candy bar will each person get?
The candy bar will each person get will be 4 / 15.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that three friends went to the movies. They shared 4/5 of a candy bar. If they share the bar equally.
The amount of candy shared by each person will be,
Amount = ( 4 / 5 ) ÷ 3
Amount = 4 / 15
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a(n)=
2
3
(−2)
n−1 what is the 3rd term in sequence
The third term of the geometric sequence will be 8/3.
What is a geometric sequence?A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.
Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
The equation is given below.
aₙ = (2/3) · (-2)ⁿ⁻¹
The third term of the geometric sequence will be given as,
a₃ = (2/3) · (-2)³⁻¹
a₃ = (2/3) · (-2)²
a₃ = (2/3) · (4)
a₃ = 8 / 3
The third term of the geometric sequence will be 8/3.
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The midpoint M of the line segment AB is (1,3). If the coordinate of B is (-5,7), what is the coordinate of the point A
Answer:
( 7,-1 )
Step-by-step explanation:
 A jar filled with maple syrup weighs 1.5 pounds. Two jars filled with honey weigh 3 pounds. What is the weight of the jar?
The weight of the jar after solving equation simultaneously is w=0.
Define system of linear equation.A set of two or more first-degree equations with two or more connected unknowns is known as a system of linear equations.
How to solve system of linear equation.A system of equations is solved by determining the value of each unknown until the system's equations are all satisfied. That is, it is necessary to find the values of the unknowns so that, when substituted, they will produce the suggested solution in both equations.
j+w=1.5
2j+w=3
Simultaneously solving gives
w=0
the weight of jar is 0.
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Coupon A: $16 rebate on a $55 jacket
Coupon B: 35% off a $55 jacket
Coupon A gives the lower price ?
The price of coupon A is ? less than the price with Coupon B
Coupon B gives the lower price?
The price of coupon B is ? less than the price with Coupon A
Yes. Coupon B gives the lower price.
The price of coupon B is less than the price with Coupon A
How to determine which price is lower?Discount is defined as a deduction from the usual cost of something
Since there is a $16 rebate on a $55 jacket using Coupon A. The price when Coupon A is used will be:
price using Coupon A = $55 - $16 = $39
Since Coupon B gives a 35% discount on the price of the jacket. The price when Coupon B is used will be:
price using Coupon B = $55 - (0.35×55) = $35.75
Thus, the price of coupon B is less than the price with Coupon A
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1. What property could you use to show that these two triangles are congruent? QRP XWY
The property that could be used to determine that the triangles are congruent is the SSA congruent theorem
How to determine the congruent propertyFrom the question, we have the following parameters that can be used in our computation:
Triangles = QRP and XWY
On the triangles, we can see that:
Two corresponding sides on both triangles are marked with I and IIThe triangles have a pair of corresponding anglesThis means that we make use of the SSA congruent theorem
The SSA congruent theorem implies that if two sides and an angle not included between them are respectively equal to two sides and an angle of the other than the two triangles are equal.
In this case, we have
Congruent sides: RQ and HG & PR and HF
Congruent angles: Angles Q and G
Hence, the additional information on the congruency of the triangles is the SSA theorem
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Write an equation of the line that passes through (-3,3) and is perpendicular to the line 2y = 8x - 6
The equation of line that passes through (-3,3) and is perpendicular to 2y = 8x - 6 is y = (-1/4)x + 9/4.
What is the equation of line that passes through (-3,3) and is perpendicular to 2y = 8x - 6?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the equation of the original line.
Write in slope intercept form
2y = 8x - 6
y = 8x/2 - 6/2
y = 4x - 3
Using the slope intercept, slope m is 3.
The equation of a perpendicular line to 2y = 8x - 6 must have a slope that is the negative reciprocal of the original slope.
Slope of perpendicular line = -1 / ( 4 )
Slope of perpendicular line = -1/4
Plug the slope m = -1/4 and point (-3,3) into point-slope formula and simplify.
( y - y₁ ) = m( x - x₁ )
( y - 3 ) = (-1/4)( x - (-3) )
( y - 3 ) = (-1/4)( x + 3 )
y - 3 = (-1/4)x - 3/4
y = (-1/4)x - 3/4 + 3
y = (-1/4)x + 9/4
Therefore, the equation of the perpendicular line is y = (-1/4)x + 9/4.
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Select the correct answer. Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. g ( x ) = − 18 ( 1 3 ) x + 2 Which statement correctly compares the two functions on the interval [-1, 2]? A. Only function f is increasing, but both functions are negative. B. Both functions are increasing, but function g increases at a faster average rate. C. Both functions are increasing, but function f increases at a faster average rate. D. Only function f is increasing, and only function f is negative.
The correct comparison between two function is
Both functions are increasing, but function g increases at a faster average rate.
The Correct option is (B).
What is an increasing function?If the slope of a function is continuously increasing or constant in an interval, the function is known as an increasing function.
Let us assume
f(x) = [tex]ab^x[/tex]+ c
so, at x=0, f(0)=-10
a +c = -10
Similarly, by satisfying the above table in the f(x)
f(x) = -33/5 [tex](1/11)^x[/tex] - 17/5
and, f'(x) > 0
Thus, f(x) is an increasing function.
Now, g(x) = -18 [tex](1/3)^x[/tex] +2
g'(x) = -18 [tex](1/3)^x[/tex] log(1/3)
as log 1/3 <0
So, g'(x) > 0
Thus, g(x) is an increasing function.
For any x ∈ f(x) and x ∈ g(x), g'(x) > f'(x).
Hence, Both functions are increasing, but function g increases at a faster average rate.
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PLEASE HELP ME ASAP DUE TODAY NOW
Answer:
y = [tex]\frac{3}{4}[/tex]x + 3
Step-by-step explanation:
find the slope m
m = [tex]\frac{y2 - y1}{x2 - 21}[/tex]
m = [tex]\frac{3 - 0}{0 - - 4}[/tex]
m = [tex]\frac{3}{4}[/tex]
y = mx + b
find b
insert y1 and x1 into the equation
0 = [tex]\frac{3}{4}[/tex](-4) + b
0 = -3 + b
b = 3
y = [tex]\frac{3}{4}[/tex]x + 3
PLEASE ANSWER
Write an equation in point-slope form passing through the given point and parallel to the given line:
(- 4, 4)
y = - 7/4x + 2
Answer:
y-4=-7/4(x+4)
Step-by-step explanation:
Point Slope Form: y-y*sub*1=m(x-x*sub*1)
Parallel lines have the same slope as the line to which they are parallel.
y-4=-7/4(x+4)
Hope this helps :)
Water flows at 2 feet per second through a pipe with a diameter of 8 inches. A cylindrical tank with a diameter of 15 feet and a height of 6 feet collects the water.
a. What is the exact volume, in cubic inches, of water flowing out of the pipe every second? Leave your answer in terms of π.
The volume is
cubic inches.
Question 2
b. What is the height, in inches, of the water in the tank after 5 minutes?
The height in the tank is about
inches.
Question 3
c. How many minutes will it take to fill 75% of the tank?
It will take about
minutes.
a. The exact volume, in cubic inches, of water flowing out of the pipe every second is 32π cubic inches.
b. The height, in inches, of the water in the tank after 5 minutes is 600 feet.
c. It will take 0.132 minutes to fill 75% of the tank
What is a cylindrical shape?A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.
Examples of cylinders are toilet paper rolls and cold beverage cans.
The volume of a cylinder is πr²h.
Curved surface area = 2πrh.
Total surface area = 2πr(h + r).
Given, Water flows at 2 feet per second through a pipe with a diameter of 8 inches so it is a cylindrical shape.
Therefore, The exact volume, in cubic inches, of water flowing out of the pipe every second is,
= π(4)²×2.
= 32π cubic inches.
The volume of the cylindrical tank is,
= π(7.5)²×6.
= 337.5π cubic inches.
The height, in inches, of the water in the tank after 5 minutes would be
= (32π×300)/π×16).
= 600 feet.
Now, 75% of 337.5π cubic inches is (0.75×337.5π) = 253.125π cubic inches.
Therefore the time required to fill 75% of the tank is,
= [(253.125π/32π)]/60 minutes.
= 7.91/60 minutes.
= 0.132 minutes.
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Find the value of g(f(-1))
Answer: I say 13
Step-by-step explanation:
two numbers have a sum of 33. if one of the numbers is -37 , what is the other number?
Answer:
70
Step-by-step explanation:
Well -37 plus 70 would give you 33, so therefore 70 is the answer. You can also check your answer by subtracting -37 from 33 which would give you 70.
Question 2(Multiple Choice Worth 2 points)
(Pythagorean Theorem and the Coordinate Plane MC)
Determine the length and g the line segment shown
!!!!please help me!!!!
The measurement of the hypotenuse is obtained as 9 units using the Pythagoras theorem.
What is Pythagoras Theorem?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
According to the graph -
The perpendicular measures 4 units.
The base measures 3 units.
To find the hypotenuse g apply the Pythagoras theorem -
(hypotenuse)^2=(base)^2+(perpendicular)^2
(g)^2=(3)^2+(4)^2
(g)^2=9+16
(g)^2=25
g=[tex]\sqrt{25}[/tex]
g=5
Therefore, line segment g measures 5 units.
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Determine how many tablets, capsules, or ml to give to the patient. Answers should be either expressed as 1/2 tablets or rounded to the nearest whole tablet.
Ordered: Voltaren 450 mg
Label reads: Voltaren 150 mg tablets
How many tablet(s) should you give?
Answer: We know that the order from the doctor is 450mg
The stock available has a value of 150mg
Order/Available stock=450mg/150mg=3 tablets
Step-by-step explanation:
factor each square root
0.7 times square root of 300
-0.125 times square root of 192
Answer:
To factor the first expression, "0.7 times square root of 300", we can rewrite it as:
0.7 * sqrt(300)
The prime factorization of 300 is 2 * 2 * 3 * 5 * 5, so we can rewrite the expression as:
0.7 * sqrt(2 * 2 * 3 * 5 * 5)
Since the square root of a number is the same as the square root of that number's prime factorization, we can rewrite the expression as:
0.7 * sqrt(2) * sqrt(2) * sqrt(3) * sqrt(5) * sqrt(5)
Combining like terms, we get:
0.7 * 2 * sqrt(2) * sqrt(3) * sqrt(5)
= 1.4 * sqrt(2) * sqrt(3) * sqrt(5)
This is the fully factored form of the expression "0.7 times square root of 300".
To factor the second expression, "-0.125 times square root of 192", we can rewrite it as:
-0.125 * sqrt(192)
The prime factorization of 192 is 2 * 2 * 2 * 2 * 2 * 2, so we can rewrite the expression as:
-0.125 * sqrt(2 * 2 * 2 * 2 * 2 * 2)
Since the square root of a number is the same as the square root of that number's prime factorization, we can rewrite the expression as:
-0.125 * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2)
Combining like terms, we get:
-0.125 * 6 * sqrt(2)
= -0.75 * sqrt(2)
This is the fully factored form of the expression "-0.125 times square root of 192".
Answer:
for the second one the answer is - square root of 3
Step-by-step explanation:
i could only solve the second one sorry
Cones A and B both have volume 48pi cubic units, but have different dimensions. Cone A has radius 6 units and height 4 units. Find one possible radius and height for Cone B.
The possible radius and height for Cone B are 3 units and 16 units respectively
How to determine the radius and height of the cone
The formula for calculating the volume of a cone is expressed mathematically;
Volume = 1/3 πr²h
Given that;
π takes the value 3.1 4r is the radius of the coneh is the height of the coneFrom the information given, we have that;
Both cone A and B have volume of 48πCone A has 6 units and height of 4 unitsNow, let the height of cone B be 16 units
Substitute the value into the formula, we have;
48π = 1/ 3 × π × r² × 16
multiply the values, we have
48 = 16r²/3
cross multiply
16r² = 144
Divide both sides by 16
r² = 144/16
r² =9
Find the square root of both sides
r = 3units
Hence, the values are 3 units and 16 units
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A linear function as a rule shown
The equation that represents the linear function is y = 11 + 7x.
What is the solution to the linear equation?
The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
We have given the rules:
x: a number
y: 11 more than 7 times x.
Linear equations are the equations of degree 1. It is the equation for the straight line.
The standard form of the linear equation is ax+by+c =0,
where a ≠ 0 and b ≠ 0.
From the given conditions we can form the linear equation:
That is,
y = 11 + 7x,
Hence, the equation that represents the linear function is y = 11 + 7x.
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Find the sketch the domain of the function f(x,y,z) = ln(144 - 9x² - 16y² - z²)
The domain of the function f(x, y, z) = ln(144 − 9x² − 16y² − z²) is x ∈ (-4, 4), y ∈ (-3, 3) and z ∈ (-12, 12) which forms an ellipsoid.
What is the domain?Domain of a function is the set of all values possible for the input parameters for real output parameter or output parameter in given range.
Given the function as f(x, y, z) = ln(144 − 9x² − 16y² − z²)
For f(x, y, z) to be real, the function 144 − 9x² − 16y² − z² should be greater than 0. So,
144 − 9x² − 16y² − z² > 0
9x² + 16y² + z² < 144
x²/ 4² + y²/ 3² + z²/ 12² < 1
Therefore, the domain is an ellipsoid.
Therefore x ∈ (-4, 4)
y ∈ (-3, 3)
z ∈ (-12, 12)
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Evaluate x−25 when x=35.
Answer: 5
Step-by-step explanation:
1. Since you are told x=35. Plug it into x.
35-25
2. Simplify
35-25=5
Answer: 10
Step-by-step explanation:
x-25
substitute 35 for x
35-25 = 10
x^2-2x+10=0
is the vertex of this parabola a maximum value or minimum value?
Step-by-step explanation:
minimum.
since the term with x² has a positive factor, this will grow exponentially in the positive direction compared to the other terms, so y (the functional value) will grow and grow with growing distance of x to the vertex.
and that makes the vertex the minimum of the parabola (which opens upwards).
if the factor would be negative (like -x² - 2x + 10), the vertex would be a maximum, and the parabola would open downwards.
Which phrase should be inserted on the line correctly compare the two fractions? Use the models to help.
Answer:
is greater than
Step-by-step explanation:
7/8 is bigger than 2/4
Ella has the same number of acorns as frank. Ella has 9 in one hand and 10 in the other hand. How many acorns does frank have in the other hand?
The number of acorns that Frank have in the other hand will be 14.
How to calculate the word problem?A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real.life scenario given.
Since Ella has the same number of acorns as frank. Ella has 9 in one hand and 10 in the other hand.
When Frank has 5 on one hand, the number of acorns that Frank have in the other hand will be:
= 10 + 9 - 5
= 14
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Complete question
Ella has the same number of acorns as frank. Ella has 9 in one hand and 10 in the other hand. Frank has 5 on one hand. How many acorns does frank have in the other hand
? Question
Drag the tiles to the correct boxes to complete the pairs.
Solve each equation using the square root property. Then, match the solutions to the equatio
Tiles
Help please
The solutions for the given equations are x = 9i , -9i , x = 2i,-2i ,
x = [tex]\sqrt{13}[/tex] , - [tex]\sqrt{13}[/tex] , x = [tex]\sqrt{14}[/tex]i , - [tex]\sqrt{14}[/tex]i .
Given equations ,
[tex]x^{2}[/tex] + 81 = 0 ,[tex]x^{2}[/tex]-22 = -26 , 3[tex]x^{2}[/tex]-18=21 ,2[tex]x^{2}[/tex] +15 = -13
What is Quadratic equation ?
quadratic equation can be defined as the equation which is in the form of a[tex]x^{2}[/tex]+bx + c = 0 .
where a,b,c are constants .
By solving we get ,
[tex]x^{2}[/tex] +81 = 0
[tex]x^{2}[/tex] = -81
x = 9i , -9i
[tex]x^{2}[/tex] - 22 = -26
[tex]x^{2}[/tex] = -26 + 22
[tex]x^{2}[/tex] = -4
x = 2i,-2i
3[tex]x^{2}[/tex] - 18 = 21
3[tex]x^{2}[/tex] = 18+21
3[tex]x^{2}[/tex] = 39
[tex]x^{2}[/tex] = 13
x = [tex]\sqrt{13}[/tex] , - [tex]\sqrt{13}[/tex]
2[tex]x^{2}[/tex] +15 = -13
2[tex]x^{2}[/tex] = -13-15
2[tex]x^{2}[/tex] = -28
[tex]x^{2}[/tex] = -14
x = [tex]\sqrt{14}[/tex]i , - [tex]\sqrt{14}[/tex]i
Hence the solutions for the given equations are x = 9i , -9i , x = 2i,-2i ,
x = [tex]\sqrt{13}[/tex] , - [tex]\sqrt{13}[/tex] , x = [tex]\sqrt{14}[/tex]i , - [tex]\sqrt{14}[/tex]i .
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13. Communicate and Justify During a chemistry experiment, Julian
records how the temperature changes over time using ordered
pairs (time in minutes, temperature in °C).
(0, 15), (5, 20), (10, 50), (15, 80), (20, 100), (25, 100)
a. Which variable is the independent variable?
The dependent variable? Explain in need answerssss
Julian uses ordered pairs to record the temperature variations over time during a chemistry experiment (time in minutes, temperature in °C). (0, 15), (5, 20), (10, 50), (15, 80), (20, 100), (25, 100) (25, 100).
What do you meant by depend and independent variable ?It is the cause that is the independent variable. Its worth is unrelated to other study variables. The effect serves as the dependent variable. The independent variable's modifications determine its value. It is a thing that is dependent on other things. The amount of study you did, how much sleep you had the night before the test, or even how hungry you were when you took it.
Could all affect your test result, which makes it a dependent variable. The dependent variable is impacted by the independent variable. For instance, your exam results are influenced by how much sleep you get (an independent variable) (dependent variable). This is understandable, but Ex. How much sleep you get depends on your test results.
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is it possible to have an inscribed circle by using centroid as the centre ?
Answer:
Yes, it is possible
Step-by-step explanation: