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mash [69]
3 years ago
10

What is the equation of the circle with a diameter of 6 units and a center located at (2, −5) on the coordinate plane? a A b B c

C d D
Mathematics
1 answer:
Nastasia [14]3 years ago
6 0

Answer:

(x-2)^2+(y+5)^2=36

Step-by-step explanation:

Recall that the equation of a circle of radius R centered at (x_0,y_0) is given by:

(x-x_0)^2+(y-y_0)^2=R^2

For your particular case: R = 6, x_0 = 2, and y_0 = -5, therefore the equation becomes:

(x-x_0)^2+(y-y_0)^2=R^2\\(x-2)^2+(y-(-5))^2=6^2\\(x-2)^2+(y+5)^2=36

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PLEASE HELP WILL MARK BRAINLIEST!
ipn [44]

Answer:

2 x 4 − x 3 + x 2 − 9

Step-by-step explanation:

5 0
2 years ago
(PLEASE HELP) The table below - does it represent an exponential function?
Aliun [14]
Short answer: I don't know, but that doesn't mean I can't give you something that you can decide for yourself.
y = 4*2^(2n - 2) is the pattern.
Go for broke. Try n = 4. You should get 256. Let's try it.
y = 4 * 2^(2*4 - 2)
y = 4 * 2^(8 - 2)
y = 4 * 2^6
y = 4 * 64
y = 256 yup it works.

The other end is just as important. Suppose n = 1
Then y = 4 * 2^(2*1 - 2) = 4 * 2^0 = 4*1 = 4 Both work.

If this formula is correct, we can abbreviate it to make your task easier.
y = 4 * 2^(2n - 2)
y = 2^2 * 2^(2n - 2)
y = 2^(2n - 2 + 2)
y = 2^(2n) Now try the two end points again.

n = 4
y = 2^(2*4)
y  =  2^8
y = 256

n = 1
y = 2^(2*1)
y = 2^2
y = 4 which again checks.

so y = 2^(2n) I think is an exponential function.
Sorry my explanation is so long.

6 0
3 years ago
Use substitution to solve the sy<br> 2x+3y = 19<br> x = 2y-1<br> Solve for x and y
svp [43]

Answer: Y=3, X=5

Step-by-step explanation:

2(2y-1) + 3y=19

4y-2+ 3y=19

7y=21

Y=3

Plug in y in the second equals

X=2(3) -1

X=6-1

X=5

Hope this helps!

8 0
3 years ago
your friend says that the volume of a sphere with a radius r is four times the volume of a cone with radius r. when is this true
Ierofanga [76]
Volume of a sphere is given by the formula: V_{\circ}=\frac43\pi r^3

If we pull the 4 out front we have, V_{\circ}=4\left(\frac13\pi r^3\right).

Volume of a cone is given by the formula: V_{\triangle}=\frac{1}{3}\pi r^2\cdot h

Notice that if the height of the cone is equal to the radius, V_{\triangle}=\frac13\pi r^2\cdot r

then it's exactly what we see in our volume formula without the 4!
7 0
3 years ago
PLEASE HELP ME WITH THIS THANKS
kotykmax [81]

Answer:

SA = 1244.64 square centimeters

Step-by-step explanation:

From the attached figure

The formula of the surface area of the prism is SA = 2B + PH, where

  • B is the area of its base
  • P is the perimeter of its base
  • H is the distance between its bases

The base of the prism is a regular hexagon with side 8 cm

If you join each vertex of the hexagon with its center you will form 6 congruent triangles with base 8 cm and height 6.93 cm

The area of the hexagon = 6 × area of a triangle

∵ The base of the triangle = 8 cm

∵ Its height = 6.93 cm

- The formula of the area of a triangle is A = \frac{1}{2} × base × height

∴ Area of the triangle = \frac{1}{2} × 8 × 6.93 = 27.72 cm²

- Lets find the area of the hexagon

∴ The area of the hexagon = 6 × 27 .72 = 166.32 cm²

∴ B = 166.32 cm²

The formula of the perimeter of the regular hexagon is P = 6 × s, where s is the length of its side

∵ The side of the hexagon is 8 cm

∴ P = 6 × 8

∴ P = 48 cm

∵ The distance between the two bases is 19 cm

∴ H = 19 cm

Substitute the values of B, P and H in the formula of the surface area above

∵ SA = 2(166.32) + (48)(19)

∴ SA = 332.64 + 912

∴ SA = 1244.64 square centimeters

7 0
3 years ago
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