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3 years ago

What is the equation of the directrix of the parabola given by the equation (y − 3)2 = 8(x − 5)?

1 answer:

8 0

The vertex of the parabola is at (5,3) and its focal length is 8/4 = 2.
Since it opens to the right, the directrix will be a vertical line 2 units to the left of the vertex, so its equation will be x=(5-2), or x=3

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4+p over 14 = 1 need help

lukranit [14]

Answer:

p = 10

Step-by-step explanation:

In order to solve an equation we must isolate the variable we're solving for, p.

We can do this by undoing operations in the equation.

First, multiply both sides of the equation by 14.

$\frac{4+p}{14} * 14 = 1 *14$

This gives you 4 + p = 14

Then, you can subtract 4 from both sides:

4 - 4 + p = 14 - 4

p = 10

6 0

2 years ago

What is (-i)5? A -1 B 1 C -I D i

dezoksy [38]

Answer:

-i^5=-i

Step-by-step explanation:

rewrite the equation ;

i^4=1

I^4 *-i = 1*-i=-i

8 0

3 years ago

Plz answer and thank you

icang [17]

A . It has a value GREATER than 8

4 0

3 years ago

Read 2 more answers

Find tan(450-a), If <img src="https://tex.z-dn.net/?f=%20%5Ctan%28a%29%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20" id="TexFormula1"

Inessa05 [86]

Answer:

$tan(450-a)=5\sqrt{3}-8$

Step-by-step explanation:

We know that:

$tan(a-b)=\frac{tan(a)-tan(b)}{1+tan(a)tan(b)}$

$tan(450-a)=\frac{tan(450)-tan(a)}{1+tan(450)tan(a)}$

Remember:

450°=360°+60°

and:

$tan(a)=\frac{1}{2}$

Thus:

$tan(450-a)=\frac{tan(60)-tan(a)}{1+tan(60)tan(a)}\\\\$

Then:

$tan(450-a)=5\sqrt{3}-8$

4 0

2 years ago

What's x and y for x=1+y and 2y+x=10

Sav [38]

Substitute the value of x in equation 2. Then you'll get y=3. Then again substitute the value of y in x=1+y, you'll get x=4

8 0

2 years ago

Read 2 more answers