Mathematics High School

Triangle DEF is on a coordinate plane with its
vertices located at D( – 3,5), E( – 3, - 2), and
F(3,0). What is the area of ADEF in square
units?​

Answers

Answer 1

Answer:

[tex]21\ \text{square units}[/tex]

Step-by-step explanation:

The points are [tex]D(-3,5), E(-3,-2)[/tex] and [tex]F(3,0)[/tex].

Area of a triangle is given by

[tex]A=\dfrac{D_x(E_y-F_y)+E_x(F_y-D_y)+F_x(D_y-E_y)}{2}[/tex]

[tex]\Rightarrow A=\dfrac{-3(-2-0)+-3(0-5)+3(5-(-2))}{2}[/tex]

[tex]\Rightarrow A=21\ \text{square units}[/tex]

The area of the given triangle is [tex]21\ \text{square units}[/tex].

Related Questions

Which expression is equivalent to -3(1 - y) ?
0-31 - 3y
0-32 + 3y
0-32 - 4
0 -3.2 + y

Answers

Answer:

Whichever one equals 3y - 3

Step-by-step explanation:

I went through your answer choices and they don't really make sense. But if one of these equals 3y-3 then that's your answer.

Combine like terms: m + 11g - 7g + 7m

Answers

Answer:

4g+8m

Step-by-step explanation:

7m+m=8m 11g-7g=4g

You are using the equation 4(p – 7) = 44 to determine how many pictures can be saved at one time to the photo stream on your cell phone. Describe the operations in the order that you will perform them to solve the equation. (3 points)

Answers

Answer:

The answer is 10.89. I dont know how to solve it but my dad told me this is the answer!

Step-by-step explanation:

Please give me brainliest! UnU

½×10×8.2 explain with answer​

Answers

41.
Take 10 * 8.2 (Easier this way)
You get 82.
Take 82 *1/2 (or divide by 2)
You get 41.

Answer:

41

Step-by-step explanation:

1/2 x 10 x 8.2

We will convert the decimal to fraction first

1/2 x 10 x 41/5

Then we will reduce the numbers with the greatest common factor (5)

5 x 41/5

We will remove the fives since they are the common factors

And we will remain with the answer 41

A truck traveled 144 miles on 12 gallons of diesel fuel. At
this rate how much fuel will the truck use to go 720 miles?

Answers

Answer:

60 gallons

Step-by-step explanation:

144/12 = 12 mi/gal

720/12 = 60

Answer: 60 gallons of diesel fuel

Steps:
720/144 = 5
5 * 12 = 60
60 gallons for 720 miles

The diameter of a circle is 4 units.
What is the radius of the circle?
units

Answers

Answer:

radius = D/2

Step-by-step explanation:

radius= 4unit/2

=2unit

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