Hi there!
![\large\boxed{2, -9}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B2%2C%20-9%7D)
We can create an equation for the line PR using the given coordinates. Use the following formula for the slope:
![m = \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Plug in the coordinates for P and R:
![m = \frac{-5-(-1)}{-1-(-4)} = -\frac{4}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-5-%28-1%29%7D%7B-1-%28-4%29%7D%20%3D%20-%5Cfrac%7B4%7D%7B3%7D)
Find the equation by using point-slope form:
y - y1 = m(x - x1)
Plug in a coordinate and the slope:
y - (-5) = -4/3(x - ( - 1))
Simplify:
y + 5 = -4/3(x + 1)
To find the y-coordinate if x = 2, plug in the x value:
y + 5 = -4/3(2 + 1)
y + 5 = -4/3(3)
y + 5 = -4
y = -9
Thus, the coordinate is (2, -9)
Answer:
D.)
Step-by-step explanation:
y = 5/x
so when the value of x triples, the new X becomes;
X = 3x
So,
Y = 5/ X
=> Y = 5/3x
=> Y = 1/3 . 5/x
=> Y = 1/3 . y
so the new value of y ( Y ) is 1/3 times original y.
Hence, D. is the answer
Answer:
B Step-by-step explanation:
ANSWER
B. 10
EXPLANATION
We need to find the value of x first.
It was given that the perimeter of triangle XYZ is 24.
This means that:
XY+YZ+XZ=24
we substitute the expression in terms of x to get;
![(5x - 1) + (13 - x) = 24](https://tex.z-dn.net/?f=%285x%20-%201%29%20%2B%20%2813%20-%20x%29%20%3D%2024)
This implies that
![5x - x = 24 - 13 + 1](https://tex.z-dn.net/?f=5x%20-%20x%20%3D%2024%20-%2013%20%2B%201)
![4x = 12](https://tex.z-dn.net/?f=4x%20%3D%2012)
Divide both sides by 4 to get;
![x = 3](https://tex.z-dn.net/?f=x%20%3D%203)
|WY|=|ZX|=13-3=10