All categories

4 years ago

What are the focus and directrix of the parabola with the equation y=1/16x^2

1 answer:

8 0

Y=1/16x^2
multiplying both sides by 16 we get:
16y=x^2
The general form of a parabola is:
(x-h)^2=4p(y-k)
thus
4p=16
p=4
The parabola opens upwrd:
Focus: (h,k-p)
(0,0-4)
=(0,-4)
Directrix: y=-4

You might be interested in

How do we define argument?

Tamiku [17]

Answer:

an exchange of diverging or opposite views, typically a heated or angry one.

7 0

3 years ago

Read 2 more answers

You recently opened your checking account with reallybigbank on August 1 using $100.00

WITCHER [35]

What's the question:

whats the question

What's the question:

whats the question

5 0

2 years ago

Anybody know this question?

sattari [20]

The answer would be C. Mike can drive at the most 500 miles.
$200 - the rent for the week ($125)= $75
$75/($.15) the money per mile
500 miles.
Hope This Helps!
~Cupkake

3 0

3 years ago

8. Write the equation of the line that is parallel to the line 2x + 5y = 15 and passes through the

marissa [1.9K]

Answer:

$\sf y = \bold -\frac{2}{5} x -3$

Explanation:

part A identification for slope:

$\sf 2x + 5y = 15$

$\sf 5y = -2x + 15$

$\sf y = \frac{-2x + 15}{5}$

$\sf y = -\frac{2 }{5} x+3$

comparing with slope intercept form: y = mx + b

we can find that here the slope is $\bold -\frac{2}{5}$

part B, solving the equation:

if the line is parallel, then the slope will be same.

given coordinates: ( - 10, 1 )

using the equation:

y - y₁ = m( x - x₁ )

$\sf y - 1 = \bold -\frac{2}{5} (x --10)$

$\sf y = \bold -\frac{2}{5} x -4 + 1$

$\sf y = \bold -\frac{2}{5} x -3$

Extra information:

check the image below. this proves that the line is parallel and passes through point (-10, 1). the blue line is question line and red the answer line.