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iogann1982 [59]
2 years ago
15

48. What is the standard equation of the circle in the graph? (1 point)

Mathematics
1 answer:
levacccp [35]2 years ago
5 0

Answer: A. (x + 3)^2 + (y - 2)^2 = 9

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Pls help!Please help
mamaluj [8]

Answer:

4,6,8,10

$10,$15,$20,$25

Step-by-step explanation:

Part A :

4,6,8,10

$10,$15,$20,$25

because the top row is adding by two and the bottom row is adding by 5

5 0
3 years ago
Consider this sphere inside the cylinder. Which statements are true? Check all that apply. NEED HELP ASAP​
-Dominant- [34]

Option A: The height of the cylinder is equal to the diameter of the sphere.

Option C: The radius of the sphere is half the height of the cylinder.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Solution:

The sphere is inside the cylinder.

Let r be the radius of the sphere.

Option A: The height of the cylinder is equal to the diameter of the sphere.

The sphere is fully occupied the cylinder.

If we draw the vertical line through enter of the sphere, which is equal to the height of cylinder.That is h = d. It is true.

Option B: The height of the cylinder is two times the diameter of the sphere.

That is h = 2d. From the above option, we know that h = d.

So, it is not true.

Option C: The radius of the sphere is half the height of the cylinder.

we know that diameter = 2 × radius (d = 2r)

From option A, we have h = d.

Substitute d = 2r, we get

⇒ h = 2r

Divide by 2 on both sides, we get

$\Rightarrow \frac{h}{2}=r

Therefore, it is true.

Option D: The diameter of the sphere is equal to the radius of the cylinder.

It is not true, because diameters of both cylinder and sphere are equal.

Option E: The volume of the sphere is two-thirds the volume of the cylinder.

Radius of cylinder and sphere = r

Height of cylinder h = 2r (by option C)

Volume of cylinder = Volume of sphere

  $\Rightarrow \pi r^2 h = \frac{4}{3} \pi r^3 (formula)

$\Rightarrow \pi r^2 (2r) = \frac{2\times2}{3} \pi r^3

$\Rightarrow 2 \pi r^3= \frac{2}{3} \times 2\pi r^3

Hence it is true.

Option A, option C and option E are true.

6 0
3 years ago
Read 2 more answers
Y= (x-9) (x+3)
juin [17]

Answer:

y = x² − 6x − 27

Step-by-step explanation:

To distribute, you can use something called FOIL.  It stands for First, Outer, Inner, Last.

First, multiply the First term in each factor.

x · x = x²

Now multiply the Outer terms in each factor.

x · 3 = 3x

Next multiply the Inner terms in each factor.

-9 · x = -9x

Finally, multiply the Last terms in each factor.

-9 · 3 = -27

Add them all up:

x² + 3x − 9x − 27

x² − 6x − 27

4 0
3 years ago
What does the B mean in 1.9+b=3.2
Flura [38]
1.3
You subtract 3.2 from 1.9 ; which gives you 1.3
7 0
2 years ago
Michael cleans 90 cars in 5 days. How many cars does Michael clean per day?
Neko [114]

Answer:

18

Step-by-step explanation:

Since he does 90 cars-----5 days

x cars--------1 day

we multiply 90 by 1 then over 5

5 0
1 year ago
Read 2 more answers
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