All categories

3 years ago

2. Use the graph to write an equation for the parabola. (1 point)

Mathematics

1 answer:

Helga [31]3 years ago

5 0

Answer:

B. $y=\frac{x^{2} }{9}$

Step-by-step explanation:

You might be interested in

If triangle ABC has the following angle measurements, what is the set-up to solve for x?

icang [17]

It would be 4x-17+3x+8+x+13=180, so the first answer

8 0

3 years ago

Read 2 more answers

Darya [45]

Answer:ummmmmmmmmmmmm

Step-by-step explanation:

7 0

3 years ago

What is the volume of this cone?

olchik [2.2K]

Answer:

The volume of the cone is approximately 453.0 cm³

Step-by-step explanation:

The volume of a cone is one third that of a cylinder with the same height and radius. That gives us 1/3 πr²h, where r is radius and h is height.

However, we are not given the height of the cone, but the side length. We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length. You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:

$a^2 = b^2 + c^2$

So we can find the height of the cone with that:

$10.8^2 = 7.4^2 + h^2\\h^2 = 10.8^2 - 7.4^2\\h^2 = 116.64 - 54.76\\h^2 = 61.88\\h = \sqrt{61.88}\\h \approx 7.9$

Now that we have the cone's height, we can solve for its volume:

$v = \frac{1}{3} \pi r^2 h\\v = \frac{1}{3} \pi \times 7.4^2 \times 7.9\\v = \frac{1}{3} \pi \times 54.76 \times 7.9\\v = \frac{1}{3} \pi \times 432.6\\v = \pi \times 144.2\\v \approx 453.0 cm^3$

5 0

3 years ago

Read 2 more answers

Graph the solution to the system -x+y>2 X+2y>2

mariarad [96]

Answer:

$\begin{bmatrix}y>2+x\\ y>\frac{2-x}{2}\end{bmatrix}$

Step-by-step explanation:

Step 1: Solve the system of equations

$\begin{bmatrix}-x+y>2\\ x+2y>2\end{bmatrix}$

Isolate $y$ for $-x+y>2$

$\mathrm{Add\:}x\mathrm{\:to\:both\:sides}$

$-x+y+x>2+x$

$y>2+x$

Isolate $y$ for $x+2y>2$

$\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}$

$2y>2-x$

$\mathrm{Divide\:both\:sides\:by\:}2$

$\frac{2y}{2}>\frac{2}{2}-\frac{x}{2}$

$y>\frac{2-x}{2}$

$\bold{=\begin{bmatrix}y>2+x\\ y>\frac{2-x}{2}\end{bmatrix}}$

Step 2: Graph

Instructions for graphing:

$\mathrm{1.\:Graph\:each\:inequality\:separately.}$

$\mathrm{2.\:Choose\:a\:test\:point\:to\:determine\:which\:side\:of\:the\:line\:needs\:to\:be\:shaded.}$

$3. \mathrm{The\:solution\:to\:the\:system\:will\:be\:the\:area\:where\:the\:shadings\:}\\\mathrm{from\:each\:inequality\:overlap\:one\:another.}$

When done, it should look like this:

6 0

3 years ago

Having trouble with this one can someone teach me how to find the slope in this question. Try to help me learn it aswell. Its in

ASHA 777 [7]

Hi there! The answer is -2.

We can find the slope of a formula by using the following formula:

$slope = \frac{change \: of \: y}{change \: of \: x} =\frac{y2 - y1}{x2 - x1}$
x2 and y2 don't mean squared, but the x and y coordinate of our second point.

First we need to find two points on the line. Ijn this particular case we have (-3, 3) and (1, -5). Now we can fill in the formula.

$slope = \frac{ - 5 - 3}{1 - - 3} = \frac{ - 8}{4} = - 2$

Therefore, the third answer is correct.
~ Hope this helps you!

7 0

4 years ago