Write a system of linear equations in two variables that has a solution of (4.2, -2.5)
Answers
The system of linear equations y = x - 6.7 and y = - x + 1.7 have solution at point (x, y) = (4.2, - 2.5).
How to derive a system of two linear equations
In this problem we need to construct a system of two linear equations whose solution is point (x, y) = (4.2, - 2.5). Linear equations are algebraic equations of the form:
y = m · x + b
Where:
m - Slopeb - Interceptx - Independent variabley - Dependent variableThe procedure is shown below. First, obtain the intercept of the first equation:
b = y - m · x
(x = 4.2, y = - 2.5, m = 1)
b = - 2.5 - 4.2
b = - 6.7
Second, write the first linear equation:
y = x - 6.7
Third, find the intercept of the second equation:
b = y - m · x
(x = 4.2, y = - 2.5, m = - 1)
b = - 2.5 - (- 1) · (4.2)
b = - 2.5 + 4.2
b = 1.7
Fourth, write the second linear equation:
y = - x + 1.7
Please see the image attached below for a representation of the system of linear equations.
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Related Questions
I will mark you as brainliest if you get the question right
Answers
Answer:
103
Step-by-step explanation:
x = 180-77 = 103
because it's a straight line, so 180 - 77 to find x
How much will it cost Tom if he used his cell
phone for 850 minutes in one month?
Tom's basic cell phone plan charges
$79.99 for service plus $0.18 per minute
beyond the included 800 minutes in the
plan. How much will it cost Tom if he used his cell phone for 850 minutes in one month?
Answers
Answer:
88.99
Step-by-step explanation:
his plan includes 800 minutes for 79.99, all we need to do is calculate the cost of the extra 50mins he used and add it to 79.99. this is ((850-800)*0.18) +79.99 and this is equal to 88.99
$0.18 X 50 minutes over the included 800
Total = $79.99 + $9 = $88.99
2x+3y=12
if y=8
what is x
Answers
Answer:
-6
Step-by-step explanation:
2x + 3(8) = 12
2x + 24 = 12
2x = 12 - 24
2x = -12
x = -12/2
x = -6
2x+3y=12
2x+3(8)=12
2x+24=12
-24 -24
2x=-12
\2 \2
x=-6
Question 5
A carpet remnant is shaped like a triangle. It has a height of 32 inches and a base of 8 inches. Find the area.
128 square inches
256 square inches
320 square inches
64 square inches
Answers
y = -3x + 5? *
What’s the slope of the equation y =-3x+5
Answers
Answer:
The slope is -3
Step-by-step explanation:
The formula is y= mx + b
m = slope
b= y intercept
Therefore, the slope is -3
What is the answer to - y¹⁵・- y¹² ?
Answers
Answer:
y^3
Step-by-step explanation:
- y^15-12
two negatives is a positive
Bc according to the product rule you add the exponents when two numbers with the same base or in general are multipled
Helpppppppp meeeeeeeee
Answers
Answer:
[tex]V = 97.911in^3[/tex]
Step-by-step explanation:
Given
Shapes: Cube and Cone
Required
Determine the volume
First we calculate the volume of the cube
[tex]V_1 = l^3[/tex]
Where
l = side length = 5.1
[tex]V_1 = 5.1^3[/tex]
[tex]V_1 = 132.651[/tex]
Next, calculate the volume of the cone using:
[tex]V_2 = \frac{\pi r^2h}{3}[/tex]
Where
h = 5.1
[tex]r = \frac{1}{2} * Diameter[/tex]
[tex]r = \frac{1}{2} * 5.1[/tex]
[tex]r = 2.55[/tex]
So, we have:
[tex]V_2 = \frac{\pi r^2h}{3}[/tex]
[tex]V_2 = \frac{\pi * 2.55^2 * 5.1}{3}[/tex]
[tex]V_2 = \frac{22 * 2.55^2 * 5.1}{7*3}[/tex]
[tex]V_2 = \frac{729.5805}{21}[/tex]
[tex]V_2 = 34.74[/tex]
The volume of the figure is:
[tex]V=V_1 - V_2[/tex]
[tex]V_1 = 132.651[/tex]
[tex]V = 132.651 - 34.74[/tex]
[tex]V = 97.911in^3[/tex]
Guys please help! It would mean a lot if you guys tell me how did u get the answer as well.
Answers
Answer:
[tex]24a^{9}b^{4}[/tex] , so I believe the first option!
Step-by-step explanation:
6 x a to the 7th x b to the 3rd x 4 x a to the second x b =
6 x 4 x a to the (7 + 2) power x b to the (3+1) power =
[tex]24a^{9}b^{4}[/tex]
Hope that helps!
Answer:
24a^9b^4
Step-by-step explanation:
When finding the area of a rectangle, you need to multiply the length by the width:
(6a^7b^3)(4a^2b)
6 times 4 is 24.
When we multiply exponential numbers, we add their exponents:
(a^7)(a^2)=a^9
and
(b^3)(b^1)=b^4
So our completed answer is:
24a^9b^4
HTH :)
8. The Johnsons are having a family reunion and they want to order T-shirts. 36 people will be
attending the reunion. There will be twice as many children as adults at the reunion. Set up a
system of equations that represents the numbers of adults and children that are attending the
reunion and solve the system to figure out how many adult and child T-shirts they need to buy.
(hint: let a=the number of adults, and c=the number of children)
Answers
Answer:
116
Step-by-step explanation:
8
=36
OK LAST ONE BUT PLEASE HELP 20 POINTS
How do you solve a system of equations approximately using tables, without graphing or writing equations?
Answers
Answer:
Solve for y, graph it, and then find where the lines intersect.You can take a table and put in all the x and y values. Then graph it. And see where it intersects. Because usually, these equations are lines
Plz help me :) dropdowns
1) vailid/ not valid
2) unbiased/biased
3)appropriate/ inappropriate
Answers
Answer:
1
Step-by-step explanation:
9 Darby graphed the equation y = 4x + 6 on a
graph. Samuel graphed the line defined by the
table.
x02
y 6 14
-35
-6 26
Which of the statements correctly compares the
two functions?
A. Both functions have the same y-intercept but
different slopes; therefore, Darby and Samuel
have graphed the same line.
B. Both functions have the same slope but different
y-intercepts; therefore, Darby and Samuel have
graphed parallel lines.
C. Both functions have the same y-intercept and
the same slope; therefore, Darby and Samuel
have graphed the same line.
D. Both functions have the same slope and the
same y-intercepts; therefore, Darby and Samuel
have graphed parallel lines.
Answers
Answer:
C
Step-by-step explanation:
Darby's equation in slope-intercept form: y = 4x + 6
Where,
Slope (m) = 4
y-intercept (b) = 6
Let's find the slope (m) and y-intercept (b) of the line Samuel graphed using the values of the given table.
Slope (m) using (0, 6) and (2, 14)
Slope (m) = ∆y/∆x = (14 - 6)/(2 - 0) = 8/2
Slope (m) = 4
y-intercept (b) = 6, because at x = 0, y = 6. This is where the line intercepts the y-axis.
Now, we can see that both functions has the same slope (m) = 4, and the same y-intercept (b) = 6
Both will have the same line.
How many quarts will you get if you mix 5 gallons 5 quarts and 6 pints
Answers
Answer:
28
Step-by-step explanation:
There are 4 quarts in a gallon, and since we have 5 gallons that gives us 20 quarts. Then we add the 5 quarts to give us 25 quarts. Finally, there are 2 pints in quart, so that gives us 3 quarts. Add those last three quarts and we get 28 quarts in all.
Total quarts when you mix 5 gallons 5 quarts and 6 pints is, 28 quarts
We have to given that,
To find total quarts if you mix 5 gallons 5 quarts and 6 pints.
Since, 1 gallon = 4 quarts
Hence, 5 gallons = 5 x 4 = 20 quarts
And, 1 pints = 1/2 gallons
Hence, 6 pints = 6/2 gallons
= 3 gallons
So, Total quarts when you mix 5 gallons 5 quarts and 6 pints is,
20 + 5 + 3
28 quarts
Therefore, Total quarts when you mix 5 gallons 5 quarts and 6 pints is,
28 quarts.
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if A and B are two events, the probability of occurrence of either A or B is given as :
a) p(A) + p(B)
b) P(AuB)
c) P (AnB)
d) P(A).P(B)
Answers
Answer:
p(A) + p(B)
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome. The probability of an event happening or another is the sum of the individual probabilities.
As such, if A and B are two events, the probability of occurrence of either A or B is given as
= p(A) + p(B)
where p(A) and p(B) are the probabilities of A happening and B happening respectively.
From a point 80 m from the base of a tower, the angle of elevation to the top of the tower is 28°. How tall is
the tower (remember: 3 decimal places)?
The height of the tower is [A] m.
Answers
Answer:
42.537 m
Step-by-step explanation:
Let x = height of tower
tan 28 = x/80
x = 80 tan 28
x = 42.537 m
Lowest common multiple of 16 and 32?
Answers
Answer:
4
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Cindy works 4c hours each day from Monday to Friday. She works 7c on Saturday. Cindy does not work on Sunday. Find the number of hours Cindy works in one week in terms of c
Answers
11 - m = 51 - 6m solve for m
Answers
This should be the answer if not let me know
2/2m=8 2/2
Answer: m = 8.
Step-by-step explanation: Proof:
what is the equation of a straight line that is parallel to the line 4y=3x+5
Answers
Answer:
4y+5=3x, 4 y + 5 = 3 x .
Step-by-step explanation:
Please give thanks to all my answers and please mark as brilliant and please follow me
Step-by-step explanation:
hope it's going to work ☺What is A number y divided by 9 is less than or equal to 17?
Answers
Answer:
the answer to what divided by 9 equals 17 is 153. You can prove this by taking 153 and dividing it by 9, and you will see that the answer is 17
What is the answer to 3x(2 1/5)=
Answers
Answer:
(6 3/5) * (x)Step-by-step explanation:
3x(2 1/5)= (6 3/5) * (x)
Answer:
6 3/5
Step-by-step explanation:
Which set of numbers is arranged in decreasing order?
A. 6.82. 26v375
B. 27.55.6.82, 137
C. 6.82.27.55.37
D. 27. 6.82, 137.55
Answers
Answer:
6.82.26v375 is the descreasing order
Answer:
it is c, 6.82 2pi 55/9 sq37
Step-by-step explanation:
what is the purpose of the dx in the integral ∫2x dx?
Answers
Answer:
[tex]dx[/tex] denotes an infinitesimal displacement along [tex]x[/tex]
Step-by-step explanation:
The integration refers to the antiderivative of a function. The inverse process of differentiation is the integration.
The integration is used to find the volume and area under the curve.
In ∫ [tex]2x\,\,dx[/tex]
∫ denotes the sign of integral,
[tex]dx[/tex] denotes an infinitesimal displacement along [tex]x[/tex],
[tex]2x[/tex] is the part to be integrated.
find the measure of the angel x
Answers
Answer:
80°+30°=180°
=110=180
x=70°
answer
Answer:
80 - 30 = 50
Step-by-step explanation:
bcz sum of two interior angle is equal to one exterior angle
9+3+8+100+12+100+12+34+28+
Answers
Answer:
306
Step-by-step explanation:
LOL
Answer:
306
Step-by-step explanation:
so 9+3=12+8+100=108+12=120+34=154+28=182 then u add it all together
What is the great common factor between 68 and 54?
Answers
Answer:
2
Step-by-step explanation:
104º
(9y - 5)º
(12x + 2019
Solve for x
Answers
12x+20=104 (vertically opposite angles)
-20 on each side
12x=84
÷12 on each side
x=7
hope that helps^^
Answer:
x = 7.
Step-by-step explanation:
12x + 20 = 104 (Vertical angles are congruent).
12x = 84
x = 7.
Question 1
The quotient of 100 and n is equal to 20.
Write an equation to describe this situation.
Equation:
Answers
Help me on question 3 pls I’ll Karl you as brainliest
Answers
What is the equation for the line of reflection?
Answers
x=6
hopefully im not wrong^^