The answer to the question is a and b
Answer:
Step-by-step explanation:
a) Let the width = w
Two times its width = 2*w = 2w
9 inches less than 2w = 2w - 9
Length = 2w - 9
Area of rectangle = length *width = 180 square inches
(2w - 9 ) * w = 180
2w*w - 9*w = 180
2w² - 9w - 180 = 0
b) sum = -9
Product= -360
Factors = -24 , 15 {15 *[-24] = -360 and 15 + (-24) = -9 }
2w² - 9w - 180 = 0
2w² - 24w + 15w - 180 = 0
2w(w - 12w) + 15(w - 12) = 0
(w -12) (2w + 15) = 0
{Ignore 2w + 15 = 0 as measurements cannot be a -ve value}
w - 12 = 0
w = 12 inches
l = 2w -9
= 2*12 - 9
= 24 - 9
l = 15
length = 15 inches
Width = 12 inches
c) Perimeter = 2 *(length + width)
= 2*(15 + 12)
= 2 * 27
= 54 inches
Answer:
Answer is D
Step-by-step explanation:
just took the test and got it right
Please mark brainlest
Answer:
A) 2(9x - 2)
Step-by-step explanation:
The greatest common factor of 18x and -4 is 2.
B is wrong because 18 is not the greatest common factor of both, since 4 cannot be divided by 18 and result in a whole number.
C is wrong because 18x cannot be divided by 4 to produce a whole number.
D is wrong because it restates the problem in a different way, therefore not factoring it completely. 1 is a common factor of both, but not the greatest.
