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Aleks04 [339]
3 years ago
8

Write an equation for a circle with center at (5,-2) and diameter of 8 centimeters.

Mathematics
1 answer:
mars1129 [50]3 years ago
5 0

Answer:

(x-5)^2+(y+2)^2=16

Step-by-step explanation:

lol brainlessly...

General Circle function: (x-h)^2+(y-k)^2=r^2, where h is the x-coordinate of the center, k is the y-coordinate of the center, and r is the radius.

The radius of the circle is half the diameter so: 8 / 2 = 4

The x-coordinate of the circle is 5

The y-coordinate of the circle is -2

Plug in.

(x-5)^2+(y-(-2))^2=4^2

(x-5)^2+(y+2)^2=16

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Phoebe, Andy and Polly share £270.
Stella [2.4K]
*Given
Money of Phoebe            - 3 times as much as Andy
Money of Andy                - 2 times as much as Polly
Total money of Phoebe,  - <span>£270
</span>    Andy and Polly

*Solution

Let
B - Phoebe's money
A - Andy's money
L - Polly's money

1. The money of the Phoebe, Andy, and Polly, when added together would total <span>£270. Thus, 
</span>
                  B + A + L  = <span>£270                     (EQUATION 1)

2. Phoebe has three times as much money as Andy and this is expressed as
  
                  B = 3A

3. Andy has twice as much money as Polly and this is expressed as

                  A = 2L</span>                           (EQUATION 2)
<span>
4. This means that Phoebe has ____ as much money as Polly, 

                 B = 3A
                 B = 3 x (2L)
                 B = 6L                            </span>(EQUATION 3)<span>

This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only. 

5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes, 

                  6L + 2L + L = </span><span>£270
</span>                                9L = <span>£270
</span>                                  L = <span>£30

So, Polly has </span><span>£30. 

6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively. 
</span>
                  A = 2L                           
                  A = 2(£30)
                  A = £60

Andy has £60

                  B = 6L                         
                  B = 6(£30)
                  B = £180

Phoebe has £180

Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.
7 0
3 years ago
QUICK!!!
Svetlanka [38]

Answer:

Option B is the right choice.

Step-by-step explanation:

Given:

An are CE and an inscribed angle CBE.

Measure of inscribed angle CBE = 25 °

We have to find the measure of the arc CE.

Concept:

  • An inscribed angle is an angle with its vertex on the circle.
  • The measure of an inscribed angle is half the measure the intercepted arc.
  • Measure of inscribed angle = 1/2 × measure of intercepted arc .

To find the measure of arc CE.

⇒ \angle CBE = \frac{1}{2} \times m\ (arc\ CE)

⇒ 2\times \angle CBE = m\ (arc\ CE)

⇒ 2\times 25 = m\ (arc\ CE)

⇒ 50 = m\ (arc\ CE)

Measure of intercepted arc CE = 50 degrees.

The measure of arc CE = 50° so, option B is the right choice.

4 0
3 years ago
What is the true solution In 20+In 5=2 In x?
S_A_V [24]

Answer:

x = 10

Step-by-step explanation:

Using the rules of logarithms

• log x + log y ⇔ log(xy)

• logx^{n} ⇔ n log x

• log x = log y ⇒ x = y

Given

ln20 + ln5 = 2 lnx , then

ln(20 × 5) = lnx^{2}

ln 100 = lnx^{2}, hence

x² = 100 ( take the square root of both sides )

x = 10

7 0
3 years ago
I need help with this we my class skipped this section
Sati [7]

Answer:

v^ 3 = 1000

so v = cube root of 1000

    v = 10

3 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20-%200.4%20%2B%201.5%283.1%29" id="TexFormula1" title=" - 0.4 + 1.5(3.1)" alt=" - 0.4 + 1.5(
ANTONII [103]
Hi,

- 0.4  + 1.5(3.1) \\  - 0.4 + 1.5 \times 3.1 \\  - 0.4 + 4.65  = 4.25


Hope this helps.
r3t40
8 0
3 years ago
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