Given that the rectangle is x²+4x-12, the possible sides will be given by:
a]
x²+4x-12
=x²+6x-2x-12
=x(x+6)-2(x+6)
=(x-2)(x+6)
thus the dimensions are (x-2) units (x+6) units

b]
x²+2xy-48y²
factorizing the above is:
x²+8xy-6xy-48y²
=x(x+8y)-6y(x+8y)
=(x+8y)(x-6y)

c]
24x²-4x-8
factoring the above we get:
=4(6x²-x-2)
=4(6x²+3x-4x-2)
=4(3x(x+2)-2(x+2))
=4(3x-2)(x+2)
=(12x-8)(4x+8)

6 0

3 years ago

At a bake sale 104 items sold total. If 32 of the items were cookies and the rest were brownies what is the ratio of brownies so

Mariana [72]

104-32=72 brownies

72/32= 2.25

Ratio: 1 cookie:2.25 brownies

8 0

3 years ago

What is the area of this trapezoid?

alukav5142 [94]

Answer:

A=0.5(a+b)h

=0.5(27+17)4=88units^2

Step-by-step explanation:

8 0

3 years ago

HELP PLEASE! What’s the domain and range?

NeX [460]

Answer:

Domain → (-∞, -1)∪(-1, ∞)

Range → (-∞, ∞)

Step-by-step explanation:

Given function is,

$\frac{f(x)}{g(x)}=\frac{x^2+2x-5}{2x+2}$

This function is not defined when the denominator is zero.

2x + 2 = 0

2x = -2

x = -1

Therefore, x = -1 is not in the domain of this function.

And the domain will be,

(-∞, -1)∪(-1, ∞)

For all values of x (except x = -1) we get some output values (value of $\frac{f(x)}{g(x)}$ ).

Therefore, range of the function will be (-∞, ∞).

7 0

3 years ago