Answer:
2.617
Step-by-step explanation:
The y values decrease as the x values increase. If you picture the points in your head, you’ll see that (2,2) is to the right and lower than (-3,5), creating a negative slope.
Answer:
x=4
y=2
You can substitute the equations like y=1/2x and -x+y+2.
Find the vertex: -4x^2 + 16x - 7
Vertex = ( x, f(x)).
x = -b/2a
x = -16/2(-4)
x = -16/-8
x = 2
f(x) = -4x^2 + 16x - 7
Let x = 2
f(2) = -4(2)^2 + 16(2) - 7
f(2) = -4(4) + 32 - 7
f(2) = -16 + 32 - 7
f(2) = 16 - 7
f(2) = 9
Vertex = (2, 9)
Answer:
x intercept of CD = 17
Step-by-step explanation:
We are given a line AB with its end coordinates. and Another line segment CD which is perpendicular to AB. We have the coordinates of C , and we are asked to find the x intercept of line CD.
For that we need to find the equation of CD
we have coordinates of C , and hence if we have slope of CD we can find equation of CD
Slope of CD can be determine with the help of slope of AB as CD⊥ AB
So, the slope of CD 
Hence we start from determining slope of AB
slope is given as


Hence 
There fore 
(∵ Product of Slopes of two perpendicular lines is always -1)
Now we find the equation of CD with the help of slope -1 and coordinates of C(5,12)




Hence we have our equation , now in order to find the x intercept we keep y = 0 in it and solve for x


Hence the x intercept is 17