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Kryger [21]
3 years ago
10

Which Is the equation of a circle with a radius of 2 and it's center at (-4,3)?

Mathematics
1 answer:
harina [27]3 years ago
3 0

(x - xc)² + (y - yc)² = r²

Where xc and yc are center coordinates

(x - (-4))² + (y - 3)² = 2²

(x + 4)^2 + (y - 3)^2 = 4

x² + 2.x.4 + 4² + y² - 2.y.3 + 3² = 4

x² + 8x + 16 + y² - 6y + 9 = 4

x² + y² + 8x - 6y + 25 - 4 = 0

x² + y² + 8x - 6y + 21 = 0

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It takes 54 minutes for 4 people to paint 6 walls. How many minuets does it take 6 people to paint 7 walls?
earnstyle [38]

It takes 42 minutes for 6 people to paint 7 walls

<em><u>Solution:</u></em>

It takes 54 minutes for 4 people to paint 6 walls

To find: Minutes required for 6 people to paint 7 walls

If M_1 men can do W_1 work in D_1 days working H_1 hours per day and M_2 men can do W_2 work in D_2 days working H_2 hours per day, then

\frac{M_1D_1H_1}{W_1} = \frac{M_2D_2H_2}{W_2}

M = Number of men

D = Number of days

H = Number of hours per day

W = Amount of work

Here in this sum,

<em><u>54 minutes for 4 people to paint 6 walls</u></em>

H_1 = 54 minutes ; M_1 = 4 people ; W_1 = 6 walls

<em><u>Minutes required for 6 people to paint 7 walls</u></em>

H_2 = ? ; M_2 = 6 people ; W_2 = 7 walls

<em><u>Substituting the values in formula, we get</u></em>

\frac{54 \times 4}{6} = \frac{H_2 \times 6}{7}\\\\9 \times 4 = \frac{H_2 \times 6}{7}\\\\H_2 = \frac{36 \times 7}{6}\\\\H_2 = 42

Thus it takes 42 minutes for 6 people to paint 7 walls

7 0
3 years ago
Which of the following statements is not true?
I am Lyosha [343]
I think B isn’t true
8 0
3 years ago
What are the steps to this equation: (X-6)2. The 2 is the exponent
Flauer [41]
(  x - 6)² = x² - 12 x + 36 
3 0
3 years ago
Ashley has two coupons for a phone.
Andreas93 [3]
I think it’s Coupon A because the price should be 42.25 or about 42 dollars

6 0
3 years ago
Can someone help me how to solve this?
Assoli18 [71]

Answer:

x > -5  in the answer


Step-by-step explanation:

(5 - 3x) / 4 < 5

multiplying both sides by 4:-

5 - 3x < 20

-3x < 15

x > 15/-3

x > -5  (Note the inequality sign is flipped because we are dividing by a negative number)


8 0
3 years ago
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