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Natali [406]
3 years ago
15

Identify the values that create ordered pairs that are solutions to the equation 3x-5y=20

Mathematics
2 answers:
kvasek [131]3 years ago
8 0
The answer to your question is: x=10. y=2
IrinaVladis [17]3 years ago
3 0

Answer:

(5,-1)

(10,2)

Step-by-step explanation:

we have

The ordered pairs that are solutions to the equation 3x-5y=20 are

(5,y),(x,2)

Step 1

Substitute the value of x of the first ordered pair and solve for y in the equation

3(5)-5y=20

5y=15-20

y=-1

The first ordered pair is (5,-1)

Step 2

Substitute the value of y of the second ordered pair and solve for x in the equation

3x-5(2)=20

3x=20+10

x=10

The second ordered pair is (10,2)

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Vilka [71]

Answer: \bold{(x-2)^2+(y-3)^2=\dfrac{1}{4}}

               Center = (2, 3)          radius = \bold{\dfrac{1}{2}}

<u>Step-by-step explanation:</u>

When both the x² and y² values are equal and positive, the shape is a circle. Complete the square to put the equation in format:

(x-h)² + (y-k)² = r²    where

  • (h, k) is the vertex
  • r is the radius

1) Group the x's and y's together and move the number to the right side

   4x² - 16x         + 4y² - 24y               = -51        

2) Factor out the 4 from the x² and y²

    4(x² - 4x          ) + 4(y² - 6y            ) = -51

3) Complete the square (divide the x and y value by 2 and square it)

    4[x^2-4x+\bigg(\dfrac{-4}{2}\bigg)^2]+4[y^2-6y+\bigg(\dfrac{-6}{2}\bigg)^2]=-51+4\bigg(\dfrac{-4}{2}\bigg)^2+4\bigg(\dfrac{-6}{2}\bigg)^2

  = 4(x - 2)² + 4(y - 3)² = -51 + 4(-2)² + 4(-3)²

  = 4(x - 2)² + 4(y - 3)² = -51 + 4(4) + 4(9)

  = 4(x - 2)² + 4(y - 3)² = -51 +  16  +  36

  = 4(x - 2)² + 4(y - 3)² = 1

4) Divide both sides by 4

   (x-2)^2+(y-3)^2=\dfrac{1}{4}

  • (h, k) = (2, 3)
  • r=\dfrac{1}{2}

6 0
3 years ago
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If this figure is a regular figure? How many degrees does each angle measure?
bearhunter [10]

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\frac{(5 - 2) \times 180}{5}  =  \\

\frac{3 \times 18 \times 10}{5}  = 3 \times 18 \times 2 =  \\

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Thus each angle has a measure of 108° degrees.

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5 0
2 years ago
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marishachu [46]

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4 0
2 years ago
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uysha [10]

Answer:

22

Step-by-step explanation:

7 0
3 years ago
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