Answer:
The side lengths are 10 by 7
Step-by-step explanation:
The area of a rectangle is
A = l*w
70 = (x - 11)(x - 8)
FOIL
70 = x^2 -8x-11x+88
Combine like terms
70 = x^2 -19x +88
Subtract 70 from each side
0 = x^2 -19x +88-70
0 = x^2 -19x+18
Factor
What number multiplies to 18 and adds to -19
-18*-1 =18
-18-1 = -19
0=(x-18)(x-1)
Using the zero product property
x-18=0 x-1=0
x=18 x=1
But x cannot x=1 because then the side lengths would be negative
x-18 = 10
x-11 = 7
75% of students voted for the athlete
total number of students 24+8 = 32
24 out of 32 students chose the athlete
24/32 simplified = 3/4
3/4 = 75%
the answer would be A. because two negatives equal a positive
2 is the base
2^3
2 is the base and 3 is the exponent
x = 8
120°=7x + 9 + 6x + 7
120° = 13x + 16
13x = 120 - 16
13x = 104
