F(x) = -2 (x-9)2 + 14
= -4(x-9) + 14
= -2 [ 2(x-9) -7 ]
= -2 (2x -18 -7)
= -2 (2x -25)
1. descending order (greatest to least): 7a3+5a2b-4b-13ab
2. classification: 4 terms
3. the degree: 3
The graph can be divided into two shapes. A rectangle and a right triangle.
The distance that the rover will cover if it completes one circuit can be computed using the Pythagorean theorem and adding the sides of the rectangle.
Rectangle:
Width = 4 - 2 = 2 meters
Length = 11 - 2 = 9 meters
Triangle = 16 - 2 = 14 ; 14 - 2 = 12 meters (this is the short leg)
long leg of the triangle = length of the rectangle = 9 meters.
12² + 9² = c²
144 + 81 = c²
225 = c²
√225 = √c²
15 = c
Point A to B = 4 - 2 = 2 meters
Point B to C = 15 meters
Point C to D = 16 - 2 = 14 meters
Point D to A = 11 - 2 = 9 meters
Total distance traveled = 2 + 15 + 14 + 9 = 40 meters.
The rule for multiplying similar bases with exponents:
(a^b)(a^c)=a^(b+c)
In this case we have:
(5^-2)(5^-1)
5^(-2-1)
5^(-3)
The rule for negative exponents:
a^(-b)=1/(a^b)
So in this case:
5^(-3) is equal to
1/(5^3)
1/125
#18
Answer C
4*7 = 28 which is the most closest one to 27.8
#19
perimeter = 2(L+W)
175.33 feet = 2103. 96 in
2 ( 2103.96 +48)
2 * 2151.96
4303.92 inches
#20
L*W = A
2103.96 * 48
100990.08 inch^2
to lazy to do the rest sorry
