Answer:
Width = 3 feet
Length = 7 feet
Step-by-step explanation:
x represents the width of doghouse so,
Width = x
Length is 4 times more than its width
Length = x+4
Area of doghouse = 21 square feet
We know
Area of rectangle = Length * Width
21 = (x+4)*x
21 = x^2+4x
=> x^2+4x-21=0
Solving the above quadratic equation by factorization to find the value of x
x^2+7x-3x-21=0
x(x+7)-3(x+7)=0
(x+7)(x-3)=0
x+7 =0 and x-3=0
x= -7 and x =3
Since the width of rectangle can never be negative so, x=3
Width =x = 3 feet
Length = x+4 = 3+4 = 7 feet
Answer: The answer is J. because there are 180 pages in her book
Step-by-step explanation:
Answer:
g(-4)=54
Step-by-step explanation:
g(-4)=30-6(-4)
g(-4)=30+24
g(-4)=54
Answer:
10
Step-by-step explanation:
4² = 4 × 4 = <u>16</u>
16 - 6 = 10
Look for the GCF
GCF = 3
so we have
3 (x^2y^2 + 2x^2 + 4y^2 + 8) Factor by grouping:-
= 3[ x^2(y^2 + 2) + 4(y^2 + 2)]
= 3(x^2 + 4)(y^2 + 2)
