TRANSLATE EACH SENTENCE INTO AN EQUATION.

Y varies directly with x, and y = 7 when x = 2. What is the value of x when y = 21?

Hoochie [10]

16 the answer is 16
7 is 5more than to see 2 plus 5 = 7 so 21 - 5 =16 GENIUS :3

3 0

3 years ago

Which equation represents a parabola opening to the right with a vertex at the origin and focus at (9,0) A. X = - 1/36y^2 B. X =

Virty [35]

Answer:

Option C: x = (1/36)*y^2

Step-by-step explanation:

A horizontal parabola is written as

x = f(y) = a*y^2 + b*y + c

If a is positive, the parabola opens to the right.

if a is negative, the parabola opens to the left.

And the vertex of the parabola has the y-value:

y = -b/2a

and the x value

x = f(-b/2a)

For our parabola, we know that:

Opens to the right:

Then the only options left are:

C) x = (1/36)*y^2

D) x = (1/6)*y^2

Because in both cases b = 0, both of the equations have the vertex in the point (0, 0).

Now let's see wich one has a focus at (9, 0)

If the vertex of our equation is:

(h, k)

Then the focus will be:

(h + a, k)

Where a is the directrix of the equation.

Here we know that the vertex is (0, 0) and the focus is (9, 0)

Then:

(0 + a, 0) = (9, 0)

The directrix is 9.

And the directrix is such that:

(x - h)^2 = 4*a*(y - k)

Replacing the values of h and k (both are zero) we get:

x^2 = 4*a*y

And we know that: a = 9

x^2 = 4*9*y

x^2 = 36*y

if we isolate y, we get:

(1/36)*x^2 = y

This is option C.

Then the correct option is C.

8 0

2 years ago

Question 1 (4 points)

ollegr [7]

Answer:

doin ur mom do do doin ur mom

Step-by-step explanation:

doin ur mom do do doin ur mom

8 0

3 years ago

24 is what percent of 48

ch4aika [34]

Answer:

11.76

Step-by-step explanation:

j

8 0

3 years ago

Read 2 more answers

A room in the shape of a rectangular prism measures 15 feet by x feet by 12 feet. Write a simplified expression for the volume (

MAXImum [283]

Answer:

Volume of room = 180x feet^3

Step-by-step explanation:

A rectangular prism is a solid 3 dimensional block. It has six faces which are all rectangular in shape. A room that takes the shape of the rectangular prism also has the same characteristics. The dimensions are length, width and height. The formula for finding the volume of the rectangular prism would be used also to find the volume of the room. The room in the shape of a rectangular prism measures 15 feet by x feet by 12 feet.

The volume is 15 × x × 12

= 180x feet^3

5 0

3 years ago