3 years ago

Use the distance formula to write an equation of the parabola with focus F(0, -13) and directrix y=13

Mathematics

1 answer:

babunello [35]3 years ago

3 0

Answer:

-1/52 x^2

Step-by-step explanation:

4p(y-k)=(x-h)^2

4(-13)y=x^2

-52y=x^2

y=-1/52 x^2

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lora16 [44]

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You are scheduled to work 34 hours per week at your new job, where you earn $13.1 per

Lyrx [107]

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3 years ago

What is the set of all solutions to the equation \sqrt{x + 2}= {-x} x+2 =−xsquare root of, x, plus, 2, end square root, equals

NARA [144]

Answer:

$x = 2$ or $x = -1$

Step-by-step explanation:

Given

$\sqrt{x + 2}= {-x}$

Required

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$( \sqrt{x + 2})^2= ({-x})^2$

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Equate to 0

$x^2 - x - 2 = 0$

Expand

$x^2 + x -2x - 2 = 0$

Factorize:

$x(x + 1) - 2(x + 1) = 0$

$(x -2)(x +1) = 0$

Split:

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3 0

2 years ago

Find the solutions. Show steps please!

san4es73 [151]

Answer:

x = 0, π/4, π, 7π/4

Step-by-step explanation:

sin(2x) = √2 sin x

Use double angle formula.

2 sin x cos x = √2 sin x

Move everything to one side.

2 sin x cos x − √2 sin x = 0

Factor.

sin x (2 cos x − √2) = 0

Solve.

sin x = 0, cos x = ½√2

x = 0, π/4, π, 7π/4

6 0

2 years ago