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svet-max [94.6K]
3 years ago
8

consider the equation 3p -7+ p=13. what is the resulting equation after the first step in the solution ?

Mathematics
2 answers:
NNADVOKAT [17]3 years ago
9 0

1st step would be to combine like terms so you would have

4p-7 = 13

hichkok12 [17]3 years ago
3 0
You would need to combine like terms like 3p and p.
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barxatty [35]

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Step-by-step explanation:

−2.25−3.75

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Therefore, your answer is -6

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determine the equation of the circle if its center is (8,-6) and which passes through the points (5,-2).
ser-zykov [4K]

Answer:

(x - 8)² + (y + 6)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Here (h, k ) = (8, - 6 ) , then

(x - 8)² + (y - (- 6))² = r² , that is

(x - 8)² + (y + 6)² = r²

The radius is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (8, - 6 ) and (x₂, y₂ ) = (5, - 2 )

r = \sqrt{(5-8)^2+(-2-(-6))^2}

  = \sqrt{(-3)^2+(-2+6)^2}

  = \sqrt{9+4^2}

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   = \sqrt{25}

   = 5

Then equation of circle is

(x - 8)² + (y + 6)² = 5² , that is

(x - 8)² + (y + 6)² = 25

6 0
2 years ago
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