Answer:
The total surface area is: 468 in^2 which agrees with answer a)
Step-by-step explanation:
The three lateral faces of the prism are rectangles, and the sums of their areas give:
12 * 10 + 9 * 10 + 15 * 10 = 360 in^2
The area of each triangular base (notice it is a right triangle) is given by:
9 * 12 / 2 = 54 in^2, so we add TWO of these to the three rectangular faces:
Total surface = 360 in^2 + 2 * 54 in^2 = 468 in^2
Answer:
X³-x
Step-by-step explanation:
Lcm
x(x-1)(x+1)
x(x²-1)
x³-x
Answer:
% change in stopping distance = 7.34 %
Step-by-step explanation:
The stooping distance is given by

We will approximate this distance using the relation

dx = 26 - 25 = 1
T' = 2.5 + x
Therefore

This is the stopping distance at x = 25
Put x = 25 in above equation
2.5 × (25) + 0.5×
+ 2.5 + 25 = 402.5 ft
Stopping distance at x = 25
T(25) = 2.5 × (25) + 0.5 × 
T(25) = 375 ft
Therefore approximate change in stopping distance = 402.5 - 375 = 27.5 ft
% change in stopping distance =
× 100
% change in stopping distance = 7.34 %
Since the lines are parallel and you know the slope of

is -2, you know the slope of line

will also be -2. You can see on the coordinate grid that line

crosses the y-axis at -1. When you piece all of these facts together into slope-intercept form you get
= -2x - 1.