
Let

, so that

and

. The integral is then equivalent to
Answer: 13. -68
14. 36
15. -36
16. -3
17. 10
18. -4
19. 1310 ft
20. 330 ft
Step-by-step explanation:
13. 34*(-2)=-68
14. -9*(-4)=
-(9*(-4))=
-(-36)=36
15. 12*(-3)=-36
16. -12/4=-3
17. -20/(-2)=
20/2=10
18. 200/(-50)=-4
19. -1640*(-1)-(-330*(-1))=
1640-(-330*(-1))=
1640-330=1310 ft
20. -990*(-1)-(-660*(-1))=
990-(-660*(-1))=
990-660=330 ft
Set this up as a proportion with the model stuff on top and actual building stuff on bottom.

. Cross multiply to get x = 780. The actual building is 780 inches. In feet that is 65.
Answer:
x = -2 or -9
Step-by-step explanation:
You want the values of x such that the line defined by the two points (2x+3, x+2) and (0, 2) is perpendicular to the line defined by the two points (x+2, -3-3x) and (8, -1).
<h3>Slope</h3>
The slope of a line is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
Using the formula, the slopes of the two lines are ...
m1 = (2 -(x+2))/(0 -(2x+3)) = (-x)/(-2x-3) = x/(2x +3)
and
m2 = (-1 -(-3-3x))/(8 -(x+2)) = (2+3x)/(6 -x)
<h3>Perpendicular lines</h3>
The slopes of perpendicular lines have product of -1:

<h3>Solutions</h3>
The values of x that satisfy this equation are x = -2 and x = -9. The attached graphs show the lines for each of these cases.
Answer:
B
Step-by-step explanation:
it shows every 4 hours, so:
560-336=224
224:4=56 per hour