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3 years ago

Can someone please help me with this??Find the equation for the following parabola ( Parabolas) !

Mathematics

1 answer:

IrinaK [193]3 years ago

6 0

Answer:

The equation of the parabola is (x - 2)² = 16(y + 1) ⇒ D

Step-by-step explanation:

The standard form of the equation of the parabola is

(x - h)² = 4p(y - k), where

The vertex of the parabola is (h, k)

The focus is (h, k + p)

∵ The vertex of the parabola is (2, -1)

→ By using the notes above

∴ h = 2

∴ k = -1

∵ Its focus is (2, 3)

→ By comparing it with the notes above

∴ h = 2

∴ k + p = 3

∵ k = -1

→ Substitute it in the equation above

∴ -1 + p = 3

→ Add 1 to both sides

∵ -1 + 1 + p = 3 + 1

∴ p = 4

→ Substitute the value of h, k, p in the form of the equation above

∵ (x - 2)² = 4(4)(y - -1)

→ Remember (-)(-) = (+)

∴ (x - 2)² = 16(y + 1)

∴ The equation of the parabola is (x - 2)² = 16(y + 1)

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Solve the system of equations given below

Fantom [35]

$y-15=3x \\-2x+5y=-3 \\ \\-2x+y-15=0 /\cdot2 \\-2x+5y-3=0 /\cdot(-2) \\ \\-4x+2y-30=0 \\4x-10y+6=0 \\ \\-8y-24=0 \\\boxed{y=-3} \\ \\-3-15=3x \\\boxed{x=-6}$

The answer is C. (-6, -3)

Hope this helps.

r3t40

8 0

3 years ago

Read 2 more answers

In an obtuse isosceles triangle the angle measurements are, x∘, x∘, and (10x−2)=128∘. Find the measurement of one of the acute a

klemol [59]

Answer:

26°

Step-by-step explanation:

An obtuse triangle is a triangle that has one obtuse angle. Obtuse angle is an angle that is greater than 90 degrees but less than 180 degrees.

An isosceles triangle is a triangle that has two equal sides and angles.

Therefore, an obtuse isosceles triangle is a triangle with an obtuse angle and two equal sides that have two equal acute angles (angle less than 90° ).

Given:

The three angles of the triangle are given to be x°, x° and (10x−2) = 128°. The obtuse angle is 128°, the two x° are acute angles. We are not using equation 10x − 2 since the value of the obtuse angle has been given as 128°

The sum of angles in a triangle is 180°

∴ x° + x° + 128° = 180°

2x° = 180° - 128°

2x° = 52°

x° = 52° / 2

x° = 26°

The measurement of one of the acute angles is 26°

7 0

3 years ago

I need help ASAP. I tried but I didn’t get it

ludmilkaskok [199]

Answer:

the answer is 77.77777(repeating)

Step-by-step explanation:

77 and 7/10 approximately

8 0

3 years ago

Calculate the deferred tax liability given the following Items Incurred In 2020 by Company B. Bonuses are tax deductible only in

german

The deferred tax liability in 2020 for Company B. would be $372.

<h3>How much of the deferred tax liability is incurred?</h3>

First, we have to find the taxable income:

= $86,000 + $6,500 + $3,500 -$ 4,000 - $4,700 - $2,630

= $84,670

Now, as the accounting income of $86,000 is more than the taxable income of $84,670, there will be a deferred tax liability of:

= ($86,000 - $84,670) * 28%

= $1,330 * 28%

= $372

Therefore, the deferred tax liability in 2020 for Company B. would be $372.

Read more about deferred tax liability

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#SPJ1

8 0

2 years ago

Can someone please help me

gtnhenbr [62]

Answer:

I) must be true

II) 1 - 1 < 2 - 4 --> false

III) (-10)*(-10) < 1*1 --> false

IV) 1/2 < 2/10 --> false

So (B) 1 must be true

x!·(x + 1)!/2 = (x + 1)!^2 / (2·(x + 1)) = (17 + 1)!^2 / (2·(17 + 1)) = 18!^2 / 6^2

(D)

2·√3·6 = √((2·√3)^2 + 6^2)·h --> h = 3 --> (C)

3 0

3 years ago