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geniusboy [140]
2 years ago
9

Triangle DEF, with vertices D(9,-8), E(8,-3), and F(2,-5), is drawn inside a rectangle,

Mathematics
1 answer:
dusya [7]2 years ago
8 0

The area of the triangle DEF is 2 square units

<h3>How to determine the area?</h3>

The given parameters are:

D(9,-8), E(8,-3), and F(2,-5),

The area of the triangle is calculated using:

Area = 0.5|x1 * (y2 -y3) + x2 * (y1 -y3) + x3 * (y2 -y1) |

This gives

Area = 0.5|9 * (-3 + 5) + 8 * (-8 + 5) + 2 * (-3 + 8) |

Evaluate

Area = 0.5|4|

Expand

Area = 2

Hence, the area of the triangle DEF is 2 square units

Read more about areas at:

brainly.com/question/24487155

#SPJ1

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Answer:

Step-by-step explanation:

Solution by substitution method

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Suppose,

3x-4y=8→(1)

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Taking equation (1), we have

3x-4y=8

⇒3x=4y+8

⇒x=( 4y+8)/ 3  →(3)

Putting x= (4y+8 )/3  in equation (2), we get

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⇒19y+48=10

⇒19y=10-48

⇒19y= -38

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Now, Putting y=-2 in equation (3), we get

x=4y+8

x= (4(-2)+8) /3

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 ⇒x= 0/ 3

 

⇒x=0

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The line segment is rotated by 270 degrees counterclockwise about the origin to form C'D'. Which statement describes C'D'? C'D'
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Answer:

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Step-by-step explanation:

According to the graph, CD is 5 - 1 = 4 units long.

Rotation doesn't change the length of the segment, so C'D' = CD = 4 units.

Correct choice is A.

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