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Sloan [31]
3 years ago
14

Triangle DEF is on a coordinate plane with its

Mathematics
1 answer:
antoniya [11.8K]3 years ago
7 0

Answer:

21\ \text{square units}

Step-by-step explanation:

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

Area of a triangle is given by

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

\Rightarrow A=\dfrac{-3(-2-0)+-3(0-5)+3(5-(-2))}{2}

\Rightarrow A=21\ \text{square units}

The area of the given triangle is 21\ \text{square units}.

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What is 2/3 multiplied by 3equals what
Digiron [165]

Answer:

6/3 as an Improper Fraction.

2 as a whole number.

Step-by-step explanation:

2/3 multiplied by 3 is as shown below.

2/3 + 2/3 + 2/3.

As an Improper Fraction, the sum would be expressed as:

2 + 2 + 2 = 6. 6/3

2/3 • 3 = 2, since 6/3 = 2 as well.

3 0
3 years ago
Reduce to simplest form. - 3/5 + 1/3
Pani-rosa [81]

Answer: -4/15

Step-by-step explanation: To add these two fractions together,

we start by finding their <em>Least Common Denominator</em> (LCD).

Since our denominators of 5 and 3 have no factors in common,

our least common denominator is 5 · 3 or 15.

In order to get a denominator of 15 in each fraction,

we multiply top and bottom of the first fraction by 3

and top and bottom of the second fraction by 5.

That gives us -9/15 + 5/15 which simplifies to -4/15.

As your last step, make sure that the fraction

that you end up with doesn't reduce.

In this case, -4/15 does not reduce but watch out for this last step.

8 0
3 years ago
The dashed triangle is the image of the solid triangle. The center of dilation is (−5, 7) .
adell [148]
Before dilation:
the height of the triangle is h₁ = 7 - (-1) = 8
the width of the triangle is w₁ = 7 - (-5) = 12

After dilation:
the height of the is h₂ = 9-7 = 2
the width of the triangle is w₂ = -5 - (-8) = 3

The scale factor is h₂/h₁ = 2/8 = 1/4 = 0.25
Also, the scale factor is w₂/w₁ = 3/12 = 1/4 = 0.25

Answer: The scale factor is 0.25

3 0
3 years ago
Read 2 more answers
Solve the inequalityfor v 4v&lt;20
lesantik [10]

Answer:


Step-by-step explanation:

V=5

6 0
3 years ago
Solve the math problem
Nadusha1986 [10]

<u>Answer:</u>

Below!

<u>Explanation:</u>

Exponents are small numbers that defines how many times does the base needs to multiply itself. Two exponents can also be classified in words. 'Squared' defines a number multiplying itself two times. 'Cubed' defines a number multiplying itself three times. If there is a zero as the base's exponent, this means that the result will always be 1. Now, let's solve all the problems together.

  • 2¹ = 2
  • 3⁵ = 3 x 3 x 3 x 3 x 3 = 243
  • 4³ = 4 x 4 x 4 = 64
  • 6⁴ = 6 x 6 x 6 x 6 = 1256
  • 7⁴ = 7 x 7 x 7 x 7 = 2401
  • 1⁶ = 1 x 1 x 1 x 1 x 1 x 1 = 1
  • 8² = 8 x 8 = 64
  • 2³ = 2 x 2 x 2 = 8
  • 4⁴ = 4 x 4 x 4 x 4 = 256
  • 10³ = 10 x 10 x 10 = 1000
  • 12² = 12 x 12 = 144
  • 5⁴ = 5 x 5 x 5 x 5 = 625
  • 6² = 6 x 6 = 36
  • 3⁶ = 3 x 3 x 3 x 3 x 3 x 3 = 729
  • 7³ = 7 x 7 x 7 = 343
  • 2⁴ = 2 x 2 x 2 x 2 = 16
  • 11⁰ = 1
  • 4³ = 4 x 4 x 4 = 64
  • 1¹² = 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1

Hoped this helped!

4 0
2 years ago
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