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Anuta_ua [19.1K]
3 years ago
8

Please help me asap!

Mathematics
1 answer:
miss Akunina [59]3 years ago
4 0

Answer:

D) (x-5)^2 + (y-2)^2 = 49

Step-by-step explanation:

Center is (5,2) and radius = 7

We use center - radius form of equation of circle

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

Where (h,k) represents the center

and r is the radius of the circle

We know center is (5,2)  so h= 5  and k =2

r= 7

Plug in all the values

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

(x-5)^2 + (y-2)^2 = 7^2

(x-5)^2 + (y-2)^2 = 49


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HELP ASAP PLZ &THANK YOU :)
Andre45 [30]

The standard form:

Ax+By=C

The slope-intercept form:

y=mx+b

m - slope

m=\dfrac{y_2-y_1}{x_2-x_1}

b - y-intercept (0, b).

We have the point (0, 43) → b= 43.

Next point (2, 55). Substitute to the slope formula:

m=\dfrac{55-43}{2-0}=\dfrac{12}{2}=6

Therefore we have:

y=6x+43      <em>subtract 6x from both sides</em>

\boxed{-6x+y=43}


8 0
3 years ago
Use the multiplier method to decrease £27 by 8%. You must show your working.
Nitella [24]

Answer:

decrease by 2.16

Step-by-step explanation:

Convert the problem to an equation using the percentage formula: P% * X = Y.

P is 10%, X is 150, so the equation is 10% * 150 = Y.

Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.

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2 years ago
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Owen and Eva spent the same amount of money making copies. Owen spent 14 cents per copy, while Eva spent 10 cents per copy. What
melamori03 [73]

Answer:

2

Step-by-step explanation:

14 times 5= 70

10 times 7= 70

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3 years ago
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Gravel is being dumped from a conveyor belt at a rate of 15 ft3/min, and its coarseness is such that it forms a pile in the shap
gayaneshka [121]

Answer:

0.13 ft/min

Step-by-step explanation:

We are given that

\frac{dV}{dt}=15ft^3/min

We have to find the increasing rate of change of height of pile  when the pile is 12 ft high.

Let d be the diameter of pile

Height of pile=h

d=h

Radius of pile,r=\frac{d}{2}=\frac{h}{2}

Volume of pile=\frac{1}{3}\pi r^2 h=\frac{1}{12}\pi h^3

\frac{dV}{dt}=\frac{1}{4}\pi h^2\frac{dh}{dt}

h=12 ft

Substitute the values

15=\frac{1}{4}\pi(12)^2\frac{dh}{dt}

\frac{dh}{dt}=\frac{15\times 4}{\pi(12)^2}

\frac{dh}{dt}=0.13ft/min

7 0
3 years ago
Need help with this math
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10,171.07 pesos

To every US dollar, it equal 18.84 pesos.

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