Answer:
6
Step-by-step explanation:
This function corresponds to 'even' function, then
in order to calculate the 'x' of the vertex: (3+9)/2=6.
The constant of proportionality is 5. For every time the total area "A" is multiplied by one the length is multiplied by 5.
A dilation means that a shape is expanded or shrunk by a scale factor. The scale factor is 4, so all the points are multiplied by 4 to reflect this expansion.
A reflection over the y-axis means that the y-values in the points change their sign from positive to negative, and vice versa.
Therefore, the points will become the following:
A''(12,-12), B''(-4, -12), C''(-16,-4), D''(0, -4)
This new shape will be similar to the original shape, since it shares the same shape, but not the same size.
The answer is A.
Dividing Fractions. Turn the second fraction upside down, then multiply. 7/9 ÷ 1/3 = 7/9 * 3/1 = 21/9 = 7/3
Answer:
(a) 
(b) 
Step-by-step explanation:
Given
Variation: Inverse proportional.
This is represented as:
See attachment for table
Solving (a):
First convert variation to equation
From the table:
So, we have:
Substitute 4 for k in
Solving (b): x when y = 25.
Substitute 25 for y in
Cross Multiply
Divide through by 25
Take positive square roots of both sides
