Answer:
Scale factor = 3
Step-by-step explanation:
Scale factor used for the dilation = the ratio of the corresponding side length of the new figure to the side length of the original figure
Scale factor = B'C'/BC
B'C' = 9 units
BC = 3 units
Scale factor = 9/3 = 3
Answer:
Step-by-step explanation:
Given
See attachment for diagram
Required
The equation to find x
First, calculate the area of the big rectangle using:
So:
The smaller rectangle
The difference between this areas give the area of the shaded region.
So:
Open brackets
Collect like terms
<em>The above equation can be used to solve for x</em>
Answer:x=-7
Step-by-step explanation:
Answer:
125feet
Step-by-step explanation:
Given the equation that modeled the height expressed as h = -16t^2 + 80t + 25, where h is the height and t is the time in seconds.
The arrow reaches the maximum height at dh/dt = 0
dh/dt = -32t + 80
0= -32t+80
32t = 80
t = 80/32
t = 2.5secs
substitute t = 2.5 into the formula;
h = -16t^2 + 80t + 25
h = -16(2.5)^2 + 80(2.5) + 25
h = -16(6.25)+225
h = -100+225
h = 125
Hence the maximum height the arrow reaches is 125feet
