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MAXImum [283]
3 years ago
15

A patio has an area of 1420 square feet. If the length is 45 1/2, what is the width​

Mathematics
1 answer:
Anni [7]3 years ago
7 0

[ Answer ]

\boxed{Width \ = \ 31\frac{19}{91} \ Ft^{2}}

[ Explanation ]

Area = 1420

Width = 45\frac{1}{2}

Area For Rectangle: Length · Width

Use division to find width:

1420 ÷ 45\frac{1}{2}

Convert mixed numbers to fractions:

1420 = \frac{1420}{1}

45\frac{1}{2} = \frac{91}{2}

\frac{1420}{1} ÷ \frac{91}{2}

Use mixed multiplication:

\frac{1420*2}{1*91}

= \frac{2140}{91}

Simplify:

= 31\frac{19}{91}

\boxed{[ \ Eclipsed \ ]}

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Answer:

Graphs A and B

Step-by-step explanation:

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1 year ago
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3 years ago
Identify an equation in point-slope form for the line perpendicular to
Alchen [17]

Answer:

y - 9 = \frac{1}{2}(x +3)

Step-by-step explanation:

Given

Function; y = -2x + 8

Required

Find an equation perpendicular to the given function if it passes through (-3,9)

First, we need to determine the slope of:  y = -2x + 8

The slope intercept of an equation is in form;

y = mx + b

<em>Where m represent the slope</em>

Comparing  y = m_1x + b to y = -2x + 8;

We'll have that

m_1 = -2

Going from there; we need to calculate the slope of the parallel line

The condition for parallel line is;

m_1 * m_2 = -1

Substitute m_1 = -2

(-2) * m_2 = -1

Divide both sides by -2

m_2 =\frac{ -1}{-2}

m_2 =\frac{1}{2}

The point slope form of a line is;

y - y_1 = m_2(x - x_1)

Where (x_1,y_1) = (-3,9) and m_2 =\frac{1}{2}

y - y_1 = m_2(x - x_1)becomes

y - 9 = \frac{1}{2}(x - (-3))

Open the inner bracket

y - 9 = \frac{1}{2}(x +3)

<em>Hence, the point slope form of the perpendicular line is: </em>

<em />y - 9 = \frac{1}{2}(x +3)<em />

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