Step-by-step explanation:
As the triangles are similar so,
3/9 = 4/12 = 4.5/k
Taking 3/9 and 4.5/k Then

Answer:
A. It increased both her intensity and her workout time.
Step-by-step explanation:
A. It increased both her intensity and her workout time.
B. It decreased her intensity but increased her workout time.
C. It increased her intensity but decreased her workout time.
D. It decreased both her intensity and work out time
Last week = 4 miles per day
This week = 5 miles per day
Intensity refers to how hard one exercises.
Workout time refers to how long one exercises the body.
By adding a mile, she has increased how hard she exercises her body (intensity))
And also increased how long she exercises the body (workout time) because the time she spent on 5 miles per day is more than time spent on 4 miles per day
Answer:
Width is 12 inches and height is 4 inches.
Step-by-step explanation:
Let the width of the piece of cardboard be = w inches
Then length is =
inches
As given, 4 inch squares are cut from each corner;
So, the width is =
inches
Length is =
inches
When we are folding the cut portion, that gives the height as = 4 inches
The volume is given by : length x width x height
And volume is given as 256 cubic inches
So, 
=> 
=> 
=> 
or 
=> 
=> 
We get ,
; w = -8(neglect the negative value)
; w = 12 inches
And length =
inches
Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches
We can check by putting these values in equation : 

=> 
=> 
Answer:
f(x) = 2x² + 4x - 16
= 2(x² + 2x) - 16
= 2(x² + 2(x)(1) + 1² - 1²) - 16
= 2(x + 1)² - 2 - 16
= 2(x + 1)² - 18
Vertex: (-1, -18) minimum
Second point can be the y-intercept:
(0, -16)
It should be a concave up