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:
Step-by-step explanation:
We would multiply the fraction by its conjugate
( A conjugate is a expression that has the same integer or number values but have different signs) for example
and
ARE Conjugates.
The conjugate of
is
So this means we will multiply the expression by 1 plus sqr root of 5 on the numerator and denominator.
Our new numerator will be
We can apply the difference of squares for the denominator.
So our denominator will be
So our rationalized fraction will be
20 > x + 7
Imagine the inequality sign is an at least sign
Answer:
7+7=14, 6+6=12 and a lot more