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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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Plz help and explain how you did anything will help.. thanks :)
sergejj [24]

Answer:

1/2 inch

Step-by-step explanation:

The area of a rectangle is the product of its length and width. So, the length and width of the photo will give a product of 24 when they are multiplied together.

One set of factors of 24 is 4 and 6, each of which is 1 unit less than the 5 and 7 dimensions of the paper on which the photo is printed. Hence a 1/2-inch border all around will result in a printed photo that is 4x6 on a 5x7 piece of paper.

___

If you want to write and solve equations, you can let b represent the border width. Then the photo area is ...

(5 -2b)(7 -2b) = 24

35 -24b +4b^2 = 24

4b^2 -24b +11 = 0

(2b -1)(2b -11) = 0

Solutions to this quadratic are b = 1/2, b = 11/2. The only viable solution is b = 1/2.

The border is 1/2 inch wide.

7 0
3 years ago
L42.54 is the same as 42 _____' 24".<br><br> Answer:
Ludmilka [50]
There are 60 ( ' ) minutes in 1 degree, and 60 ( " ) seconds in 1 minute.

now, on a Latitude of 42.54°, there are 42° clearly, how much is the 0.54 anyway?

well, we know there are 60 minutes in 1 degree, therefore 0.54 * 60 is how many minutes in 0.54, or 32.4'.  So a whole 32' and 0.4 of a minute.

how many seconds in 0.4 minutes?   well, there are 60 seconds in 1 minute, thus 0.4* 60, or 24.

L42.54  is then 42° 32' 24".
3 0
4 years ago
Indicate the correct alternative. The expression (10%) ² - (5%) ² is equivalent to:
Tanzania [10]
Convert 10% into a decimal 
(0.1)^{2} - (5%)^{2}

Remove parentheses around 0.1
0.1^{2}-(5%)^{2}

Raise 0.1 to the power 2 to get 0.1
0.01-(5%)^{2}

Convert 5% to a decimal
0.01-(0.05)^{2}

Remove parentheses around 0.05
0.01-0.05^{2}

Raise 0.05 to the power of 2 to get 0.0025
0.01-1*0.0025

Multiply -1 by 0.0025 to get -0.0025
0.01-0.0025

Subtract 0.0025 from 0.01 to get 0.0075

You Answer is: 0.0075

5 0
4 years ago
Steven recorded the growth of a plant over 10 weeks for his science project. He made a graph that shows how much the plant grew
Anton [14]
Y=kx+b
(0,2),(5,8)
2=0k+b
8=5k+b
y=1.2x+2
Im not good at English ,so I cant present my thought clearly.I just write down my process.It may help you
5 0
4 years ago
Use the graph to find the unit rate.
lozanna [386]

Answer:

B:42

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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