Use the factor theorem to determine which of the following is NOT one of the factors of 4x^4 - 21x^3 - 22x^2 + 117x + 90
1 answer:
You might be interested in
Solution:
Given PRQ is a triangle.
ST is a line parallel to RQ.
<u>Triangle proportionality theorem,</u>
<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>
Do cross multiplication, we get
Divide by 2x on both sides, we get
Answer:
14. 2384 in²
15. 291.8 in²
Step-by-step explanation:
14. The total surface area consists of the area of two equal triangles and three rectangles.
The area of each triangle is , which is
. The area of both triangles combined is 336 in².
The area of each of the slanted rectangles is base x height, which is 25x32=800 in². The area of both rectangles combined is 1600 in².
The area of the base rectangle is 14x32=448 in².
Therefore, to find the total surface area, you add the area of each side together: 336+1600+448=2384 in².
15. The equation for the surface area of a cylinder is .
The radius (r) is 4.6 in and the height (h) is 9.1 in.
Therefore, the surface area is:
in²
Answer:
Step-by-step explanation:
The formula for the future value (FV) of an investment earning compound interest is
where
PV = the present value (PV) of the money invested
r = the annual interest rate expressed as a decimal fraction
t = the time in years
n = the number of compounding periods per year
Data:
FV = $7100
r = 8 % = 0.08
t = 7 yr
n = 2
Calculation: