Answer:

ABC dilated
Step-by-step explanation:
Given
Triangles ABC and DEF
Required
Determine the scale of dilation
First, we pick a side on ABC

Pick a corresponding side on DEF

The scale factor is then calculated as:


i.e. ABC was dilated by 1/2
First you have to figure that it sounds confusing but. What you have to do is that 171 is 189 LESS than from one place to another. So just do : 189-171= 18. And then you know 18.
Answer:
5
Step-by-step explanation:
I'm assuming you want to find the maximum value of y
recall that for any cosine function y = A cos ( g(x) ), where g(x) is any arbitrary function, that A represents the amplitude of the cosine function.
By definition, the amplitude is the maximum the value which the cosine term can take.
hence for your expression:
y= -1 + 6 cos ( 2π/7(x-5) )
max value of y = -1 + (max value of cosine function)
max value of y = -1 + (amplitude of cosine function)
max value of y = -1 + 6 = 5
For this case we must find the quotient of the following expression:

We can rewrite the expression as:
(We take into account that
)

By definition of multiplication of powers of the same base, we place the same base and add the exponents:

By definition of division of powers of the same base, we place the same base and subtract the exponents:

Answer:
