You decide to build a rectangular garden in your backyard. You've designated an area of 180m^2 for your garden. Due to the configuration of your backyard, the width of the garden must be 8 meters less than the length.

The dimension of the rectangular garden is 8m by 10m

The formula for calculating the area of the rectangular garden is expressed as;

A = lw

l is the length

w is the width

If the width of the garden must be 8 meters less than the length, then;

w = l - 8

Substitute into the formula;

180 = l(l-8)

180 =l^2 - 8l

l^2-8l - 180 = 0

Factorize the result;

l(l+10)-8(l+10) = 0

(l-8)(l+10)=0

l = 8 and -10

Since A = lw

w = A/l

w = 180/8

w = 10

Hence the dimension of the rectangular garden is 8m by 10m

Learn more on area of the rectangle here:link

Step-by-step explanation:

Given

Required

Determine the Length and the Width

Represent Width with W and Length with L;

So, we have:

Expand

Split

or

or

But length cant be negative:

So,

Recall that:

Hence:

cut 138 centimeters off

step-by-step explanation:

250-112 = 138

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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