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3 years ago

7

A countertop is in the shape of a trapezoid. The lengths of the bases are 70.5 and 65.5 inches long. The area of the countertop

is 1224 square inches. Write and solve and equation to find the height of the countertop.

1 answer:

nikklg [1K]3 years ago

4 0

I don't know sorry, I'm just doing this to get myself some more points meng...

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Martin has a business washing cars. Last year he washed 20 cars a week. This year, he wants to increase his business to 1,200 ca

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Great Question!

The last year part is extra information. 1200÷12 (months in a year)= 100

He will have to wash 100 cars each month.

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3 years ago

6.) The line that passes through point (-2,3) and (6,y) has a slope of. What is the value of “y,?

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2 years ago

Rewrite the fraction 7/8 to the -1 power without the exponent<br><br> (7/8 to the negative 1 power

olga_2 [115]

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Step-by-step explanation:

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2 years ago

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Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se

kolbaska11 [484]

Answer:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

Step-by-step explanation:

Given:

The expression to expand is given as:

$(x-3)(x-9)(x-4)$

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

$(a + b)(c + d) = ac + ad + bc + bd$

$(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27$

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

$(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)$

Therefore, the equivalent expression after expanding is given as:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

3 0

3 years ago