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8_murik_8 [283]
2 years ago
9

A rectangle has an area of 45x2 − 42x − 48 and a width of 5x − 8. what is the length of the rectangle? to find the length of the

rectangle, use 45x2 − 42x − 48 as the and 5x − 8 as the .
Mathematics
1 answer:
kondaur [170]2 years ago
4 0

If the area and width of the rectangle are 45x² − 42x − 48 and (5x − 8) then the length of the rectangle will be (3x + 2).

<h3>What is a rectangle?</h3>

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A rectangle has an area of 45x² − 42x − 48 and a width of 5x − 8.

Then the length of the rectangle will be

area = length × width

Then we have

Area = 45x² − 42x − 48

Then the factor of the polynomial will be

Area = (5x − 8)(3x + 2)

Then the length of the rectangle will be (3x + 2).

More about the rectangle link is given below.

brainly.com/question/10046743

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3 years ago
Divide the sum of -13/5 and 12/7 by the product of -31/7 and -1/2
andriy [413]

Let's compute the two factors separately: as for "the sum of -13/5 and 12/7", we have to rewrite the two fractions so that they have the same denominator. Since the least common multiple of 5 and 7 is 35, we will change both fractions so that they have denominator 35:


\frac{-13}{5} = \frac{-13}{5}\frac{7}{7} = \frac{-91}{35} \qquad \qquad \frac{12}{7} = \frac{12}{7}\frac{5}{5} = \frac{60}{35}


So now we can sum them:


\frac{-13}{5}+\frac{12}{7} = \frac{-91}{35}+\frac{60}{35} = \frac{-91+60}{35} = \frac{-31}{35}


Multiplication is easier, since you just have to multiply numerators and denominators with each others:


\frac{-31}{7} \frac{-1}{2} = \frac{-31 \cdot (-1)}{7\cdot 2} = \frac{31}{14}


Finally, we must divide the two fractions. Dividing by a fraction is the same this as multiplying by the inverse of that fraction, i.e. we have to switch numerator and denominator:


\frac{-31}{35} \div \frac{31}{14} = \frac{-31}{35} \cdot \frac{14}{31} = -\frac{2}{5}



8 0
3 years ago
A lawnmower costs $284, and the six-year extended warranty on the lawnmower costs 17% as much as the lawnmower itself. What is t
Veseljchak [2.6K]

<u>Answer:</u>

The correct answer option is c.  $8.05.

<u>Step-by-step explanation:</u>

We are given that a lawnmower costs $284, and the six-year extended warranty on the lawnmower costs 17% as much as the lawnmower itself.

We are to find its effective price per year of the extended warranty.

So, the amount of six year warranty = \frac { 17 } { 100 } \times 284 = $48.28

Price of warranty per year = \frac { 48.28 } { 6 } = $8.05

6 0
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