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Shkiper50 [21]
3 years ago
7

What is the equation x^2+12x-3=16 written in the form (x-p)^2=q using the method of completing the square ?

Mathematics
1 answer:
Alexus [3.1K]3 years ago
3 0

Step-by-step explanation:

{x}^{2}  + 12x -  3 = 16

{x}^{2}  + 12x = 19

{x}^{2}  + 12x + 36 = 19 + 36

(x + 6) {}^{2}  = 55

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(6) Give the equation of the line passing through the points (1,5) and (-2, 6) in
Bas_tet [7]

Answer:

⅓x + y = 5⅓

or

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Step-by-step explanation:

Solve for slope using rise/run

Y2 - Y1 / X2 - X1

(6) - (5) / (-2) - (1)

1 / -3

Slope: -⅓

y = -⅓x + b

solve for b using one of the points

I'll be using (1,5)

Substitute the point into the equation

5 = -⅓(1) + b

5 = -⅓ + b (add ⅓ to both sides)

+⅓ +⅓

5⅓ = b

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The equation is now:

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Convert to standard form by adding ⅓x to both sides

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