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3 years ago

Determine the area of the figure on the coordinate grid. Round to the nearest hundredth if needed

Mathematics

1 answer:

Nutka1998 [239]3 years ago

8 0

Answer:

72 square units

Step-by-step explanation:

Consider the figure as the difference of a trapezoid and a rectangle.

Area of the trapezoid:

a = 3 - (-2) = 5 units
b = 9 - (-6) = 15 units
h = 5 - (-5) = 10 units
A = (a + b)h/2 = (5 + 15)(10)/2 = 100 square units

Area of the rectangle:

l = 5 - (-2) = 7 units
w = -1 - (-5) = 4 units
A = lw = 4*7 = 28 square units

Area of the figure:

100 - 28 = 72 square units

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3 years ago

(-6,8); perpendicular to y = -3/2x -1

UNO [17]

Answer:

$y = \frac{2}{3} x + 12$

Step-by-step explanation:

$y = - \frac{3}{2} x - 1$

The gradient of a line is the coefficient of x when the equation of the line is written in the form of y=mx+c.

Thus, gradient of given line= $- \frac{3}{2}$ .

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Thus, the equation of the line is $y = \frac{2}{3} x + 12$ .

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3 years ago

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jeka94

(-2.9a + 6.8) + (4.4a - 7.3)
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3 years ago

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2 years ago

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The length of a rectangle is 24 more than its width. Find the area of the rectangle if its perimeter is 100 cm.

Serggg [28]

Answer:

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Step-by-step explanation:

Lets say width = x

Length = x+24

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100=x+24+x+24+x+x

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100-48=4x

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3 years ago