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3 years ago

Find the area of a rectangle with a width of x3 + 5x - 9 and a length of x2 + 8.

Mathematics

1 answer:

Drupady [299]3 years ago

4 0

Answer:

A = x⁵ + 13x³ - 9x² + 40x - 72

Step-by-step explanation:

The formula for the area of a rectangle is length X width, or A = lw.

Substitute the equations for the sides into the formula:

A = lw

A = (x² + 8)(x³ + 5x - 9) <= use the distributive property

A = x⁵ + 5x³ -9x² + 8x³ + 40x - 72 <= collect like terms

A = x⁵ + 13x³ - 9x² + 40x - 72

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2 years ago

Divide. write in the simplest form. 4 1/6 divided by 10

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3 years ago

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One number is 5 more than another. Their sum is 53. What are the two numbers

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3 years ago

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A sea turtle swims at a speed of 27 kilometers per hour. A girl swims 14 decimeters per second. 1 m = 10 dm 1000 m = 1 km How mu

insens350 [35]

The sea turtle's speed is
$v_{t} = (27 \, \frac{km}{h} )*(1000 \, \frac{m}{km} )*( \frac{1}{60} \, \frac{h}{min} ) = 450 \, \frac{m}{min}$

The girl's speed is
$v_{g} = (14 \, \frac{dm}{s} )*( \frac{1}{10} \, \frac{m}{dm} )*(60 \, \frac{s}{min} ) = 84 \, \frac{m}{min}$

The ratio of the turtle's speed to that of the girl is
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3 years ago

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A triangle has an area of 42 cm2. The height of the triangle is 14 centimeters. What is the length of the base of the triangle.

pentagon [3]

Answer:

6 centimeters

Step-by-step explanation:

Area of a triangle is A = height x base / 2

So plug in what you know.

42 = (14 x b)/2 get rid of the 2 by multiplying both sides by 2 which gives:

84 = 14 x b get rid of the 14 by dividing both sides by 14

b = 84/14

b=6 cm

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2 years ago