Mathematics, 28.01.2021 02:40 ParallelUniverse

Which expression represents the area of a rectangle with
sides measuring 7x4y2z units and
2xy5z14?

Which expression represents

the area of a rectangle with
sides measuring 7x4y2z units and
2xy5z14

Answers: 1

Show answers

Answers

Answer from: Kathryn014

$\boxed{\boxed{\sf~a:14x^5y^7z^{15}}}$ Solution Steps:

______________________________

1.) To solve this you must first know the formula for area of a rectangle:Area $=\sf{H}$ × $\sf{W}$ Area =7x^4y^2z

× $2xy^5z^{14}$

Note:

- It doesn't matter which measurement fills the height or width part in the formula.

Equation at the end of Step 1:

× $2xy^5z^{14}$ $2xy^5z^{14}$ × 7x^4y^2z

2.) Add 4 and 1, (x powers:) x^4+x=x^5

Note:

- To multiply powers of the same base, you can add their exponents. So you just do 4+1=5 .

- When you have a plain variable like , you can assume x=1 .

Equation at the end of Step 2:

× $2y^5z^{14}$ 3.) Add 2 and 5, (y powers:) y^2+y^5=y^7

Note:

- To multiply powers of the same base, you can add their exponents. So you just do 2+5=7 .

Equation at the end of Step 3:

× $2z^{14}$ 4.) Add 1 and 14, (z powers:) $z+z^{14}=z^{15}$

Note:

- To multiply powers of the same base, you can add their exponents. So you just do 1+14=15 .

- When you have a plain variable like , you can assume z=1 .

Equation at the end of Step 4:

$7x^5y^7z^{15}$ ×

5.) Multiply 7 and 2:

Note:

- Since we combine all the powers and multiplied the bases, all you have to do is put it all together in 1 form like we were doing after we added powers in the earlier steps.

Equation at the end of All Steps:

$14x^5y^7z^{15}$

______________________________

Which expression represents

the area of a rectangle with
sides measuring 7x4y2z units and
2xy5z14?

Answer from: Quest

understand that i don't know the answers

will someone answer his question

Answer from: Quest

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

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Which expression represents the area of a rectangle with
sides measuring 7x4y2z units and

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