Y = (x-4)(x+20) ===> 0 = (x-4)(x+20)
that means the roots of that quadratic are x = 4 and x = -20.
now, the vertex will be between these two guys, right in between.
from -20 to 4 there are 24 units, half-way of that is 12 units, so, if we move from -20, 12 units to the right or towards 4, we'll end up at -20 + 12 = -8.
so, the vertex's x-coordinate is -8 then, what's "y" anyway?
y = (x-4)(x+20) x = -8
y = [(-8) - 4] [(-8) + 20]
y = (-12) ( 12)
y = -144
therefore, the vertex is at (-8 , -144)
Answer:
1/14
Step-by-step explanation:
slope = difference of y over difference of x
= (-3-(-4)) /(8 -(-6)) = 1/14
Answer:
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Answer:
The scale factor is 
Step-by-step explanation:
Yes the figures are similar to each other. The ratio of their linear measurements is in uniform ration
The ration of radius of large cylinder (R) to that of the smaller cylinder (r) is

Like wise the ration of height of large cylinder (H) to that of the smaller cylinder (h) is

The scale factor is 
Answer:
The function's input = x = -20
Step-by-step explanation:
Given the function
y = -75 - 5x
Given that the output = y = 25
substituting the value y=25 and solve to find the input 'x'
25 = -75 - 5x
5x = -75-25
5x = -100
Divide bothe side by 5
x = -20
Thus, the function's input = x = -20