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3 years ago

What is the area of this composite shape? Enter your answer in the box.

Mathematics

1 answer:

bonufazy [111]3 years ago

3 0

Answer:

The answer to your question is: 53 in²

Step-by-step explanation:

Area = ?

Process: divide the shape in one rectangle and one triangle.

Area of rectangle

A = base x height

A = 8 x 6

A = 48 in²

Area of rectangle

base = 13 - 8

= 5 in

height = 6 - 4

= 2 in

Area = (b x h) / 2

= (5 x 2) / 2

= 10 / 2

= 5 in²

Total area = 48 + 5 = 53 in²

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2 years ago

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Step-by-step explanation:

Since we have given that

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3 years ago

Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo

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Answer:

$\displaystyle y=-\frac{1}{2}x+4$

Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

$y - 12 = 2x -8$

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

$y = 2x +4$

The coefficient of the x is the slope

$m=2$

The slope of the perpendicular line is the negative reciprocal of m, thus

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We know the second line passes through (2,3). That is enough information to find the second equation:

$y-y_o=m'(x-x_o)$

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3 years ago

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