Symbolize and solve Equations

Write the equation of the parabola in vertex form<br><br> vertex (1,2), point (2,-3)

Andrew [12]

Answer:

Step-by-step explanation:

Find the parabola through ( 2 , − 3 ) with vertex ( 1 , 2 ) .

Standard Form: y = 5 x ² − 20 x + 17

Vertex Form: y = 5 ( x − 2 ) ²− 3

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4 0

3 years ago

The cylinders are similar the volume of the larger cylinder is 1600 cubic centimeters what is the volume of the smaller cylinder

cestrela7 [59]

We are given Volume of the larger cylinder is = 1600 cubic centimeters.

Height of the larger cylinder = 16 cm.

We know formula of volume of a cylinder V= $\pi r^2h$ , where r is the radius of cylinder, h is the height of the cylinder.

Plugging value of V and h of larger cylinder, we get

$1600=\pi r^2(16).$

Dividing both sides by 16, we get

$\frac{1600}{16}=\frac{\pi r^2 (16)}{16}$

$r^2=100$

Taking square root on both sides, we get

r=10.

Therefore, radius of the larger cylinder is 10 cm.

We are given cylinders are similar .

<u>Note: The radii and heights of similiar cylinders are in same ratio.</u>

Therefore, we can setup a proportion:

Let us take radius of small cylinder is x.

$\frac{x}{10}=\frac{4}{16}$

$\frac{x}{10}=\frac{1}{4}$

Multiplying both sides by 10, we get

$10 \times \frac{x}{10}=10 \times\frac{1}{4}$

x=2.50.

Therefore, radius of the small cylinder = 2.5 cm.

Now, plugging radius =2.5 and height = 4 in the formula of volume the cylinder, we get

$V=\pi (2.5)^2(4)=\pi (6.25)(4) =25 \pi \ cm^3.$

Therefore, correct option is 25 pi cm^3.

8 0

3 years ago

Can someone tell me if I’m right?

mestny [16]

You forgot to expand and simplify it... you only did step one, carry on your doing great 4 marks doesn’t come easy :)

8 0

3 years ago

100 POINTS

enyata [817]

Answer:

C

Step-by-step explanation:

Given Coordinates:

(-4, -2), (2, -2), (4, 2), (-2, 2)

The shape that uses the coordinates (-4, -2), (2, -2), (4, 2), (-2, 2) would make a parallelogram.

See graph for answer:

So correct choice is C.

8 0

2 years ago

Read 2 more answers

Write out the sample space for the given experiment. Use the following letters to indicate each choice: M for mushrooms, A for a

MrMuchimi

Answer: {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}

Step-by-step explanation:

Sample space is a set that contains all the possible outcomes for an event.

For salad:

Choices for extra toppings (mushrooms, olives) =2

Choices for meats (bacon, eggs) =2

Choices for dressings (vinaigrette, honey mustard.)= 2

By Fundamental counting principal .

The number of different salads can be made= (Choices for extra toppings) x (Choices for meats ) x (Choices for dressings)

= 2 x 2 x 2 = 8

All the possible outcomes = (MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)

Required Sample space would be : {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}

5 0

2 years ago