Answer: x = 4 and y = -3
Step-by-step explanation:
2x + 4y = -4
2x = -4 - 4y
x = -2 - 2y
Now that we have solved the first equation for x, we plug (-2 - 2y) into the other equation in place of x and then solve for y.
3(-2 -2y) + 5y = -3
-6 - 6y + 5y = -3
-y = 3
y = -3
Now that we know y, we plug it into the original equation and solve for x.
2x + 4(-3) = -4
2x + -12 = -4
2x = 8
x = 4
You can check the answer by plugging both x and y into either of the original equations.
Answer:
D
Step-by-step explanation:
do want the odds here is the odds
A / B =
1 / 7 =
1/7
Answer:
Assuming that it's a rectangular track and the units are 15x25 yards, the perimeter is 80 yards.
Explanation:
Remember to find the perimeter of a non-circular shape you just add up all of the side lengths together. In this case, I believe it's a 15x25 yard rectangle, so you ad 15 + 15 + 25 + 25 to get a total of 80 yards.
Given:
The given equation is:
![y=-4x+3](https://tex.z-dn.net/?f=y%3D-4x%2B3)
A line is perpendicular to the given line and passes through the point (4,-1).
To find:
The equation of required line.
Solution:
The slope intercept form of a line is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where, m is slope and b is y-intercept.
We have,
![y=-4x+3](https://tex.z-dn.net/?f=y%3D-4x%2B3)
Here, the slope of the line is -4 and the y-intercept is 3.
Let the slope of required line be m.
We know that the product of slopes of two perpendicular lines is -1. So,
![m\times (-4)=-1](https://tex.z-dn.net/?f=m%5Ctimes%20%28-4%29%3D-1)
![m=\dfrac{-1}{-4}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-1%7D%7B-4%7D)
![m=\dfrac{1}{4}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B1%7D%7B4%7D)
The slope of required line is
and it passes through the point (4,-1). So, the equation of the line is:
![y-(-1)=\dfrac{1}{4}(x-4)](https://tex.z-dn.net/?f=y-%28-1%29%3D%5Cdfrac%7B1%7D%7B4%7D%28x-4%29)
![y+1=\dfrac{1}{4}(x)-\dfrac{4}{4}](https://tex.z-dn.net/?f=y%2B1%3D%5Cdfrac%7B1%7D%7B4%7D%28x%29-%5Cdfrac%7B4%7D%7B4%7D)
![y=\dfrac{1}{4}x-1-1](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B1%7D%7B4%7Dx-1-1)
![y=\dfrac{1}{4}x-2](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B1%7D%7B4%7Dx-2)
Therefore, the equation of the required line is
.