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2 years ago

Write the standard equation for a circle with center (−6, −8), that passes through (0, 0)

1 answer:

7 0

Standard equation: (x-h)^2 + (y-k)^2 = r^2

Here, (0-[-6])^2 + (0-[-8])^2 = r^2
Find r: 36 + 64 = 100, so r = 10

Then the desired equation is (x+6)^2 + (y+8)^2 = 10^2

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A cylinder has a diameter of 6 feet. the volume of the cylinder is 36/5π cubic feet.

Anton [14]

Answer:

Height of cylinder is $\frac{4}{5}\ ft$ .

Step-by-step explanation:

Diameter of cylinder, D = 6 feet

Relation between Radius, R and diameter, D is given by:

$R = \dfrac{D}{2}$

So, radius, R = $\frac{6}{2} \Rightarrow 3$ feet

Let height of cylinder be $h$ feet.

Formula for volume of cylinder is given by:

$V = \pi R^{2} H$

Where, R is the radius of base of cylinder

and H is the height of cylinder

We are given that,

$V = \dfrac{36 \pi}{5} ft^{3}$

Using formula for volume, $V = \pi R^{2} H$

$\dfrac{36\pi}{5} = \pi \times 3^{2} \times h\\\Rightarrow \dfrac{36\pi}{5} = \pi \times 9 \times h\\\Rightarrow h = \dfrac{4}{5} ft$

Hence, Height of cylinder is $\frac{4}{5}\ ft$ .

7 0

2 years ago

What is the area of a circle when the circumference is 25 in

Ahat [919]

Answer:

49.735919716217

Step-by-step explanation:

Area =

C2 / 4π

4 0

2 years ago

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What is the slope of a line that passes through the points (-5,-3) and (9,-6)

kipiarov [429]

To find the slope given two points, you need to subtract the two y values over the two x values
(-5,-3) (9,-6)
-5 will be x1, and -3 will be y1. 9 will be x2, and -6 will be y2. You then need to put the numbers in the correct place in the equation.
y2-y1 -6-(-3) -9
-------- = -------- = ----
x2-x1 9-(-5) 14
Now that we have the slope (-9/14) you can use one of the coordinates to find the value of b.
Let's use (9,-6).
-6=-9/14(9)+b
-6=-81/14+b
+81/14
b=-3/14
Your final equation is y=-9/15x-3/14

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2 years ago

In the himalaya mountains along the border of tibet and nepal, mount everest reaches a record height of 29,035 feet. how high is

saul85 [17]

29,028ft 5 and 1/2 miles About as big as 20 empire state buildings.

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2 years ago

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Dena borrowed $75,000 to buy a used car. The credit union charged 9% simple interest per year. She paid $2,025 in interest. For

kondaur [170]

In order to do this you must use what is called a discipline to get your answer

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2 years ago