Given the equation, (x − h)2 + (y − k)2 = r2, what are the coordinates of the center?

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

4 0

Answer:

(h, k) will be the coordinates of the center in equation of the circle

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I will mark brainly, help me with this question please.

Anna [14]

Step-by-step explanation:

Since $x$ varies directly as $\sqrt{y}$ we can write the relation as

$x = k\sqrt{y}$

where k is the constant of proportionality.

a) To solve for the k, we substitute the given values:

$5 = k\sqrt{13} = k(13)$

$\Rightarrow k = \dfrac{5}{13}$

b) The equation relation x and y can be written as

$x = \dfrac{5}{13}\sqrt{y}$

c) When y = 9,

$x = \dfrac{5}{13}\sqrt{9} = \dfrac{5}{13}(3) = \dfrac{15}{13}$

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A scale model of a building has a height of 18 inches and a length of 14 inches. The height of the real building Is 360 ft. What

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For this case, the first thing to do is find the scale factor.
Using the measure of height we have:
k = (360) / (18 * (1/12))
k = 240
Thus, the length of the building is:
(14 * (1/12)) * (240) = 280 feet
Answer:
The lenght of the real building is:
280 feet

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3 years ago

The population of a town is 15,000. If the population is growing by 5% per year, how long will it take for the population to rea

nikdorinn [45]

by 10 years it'll be 24439 but by 11 it'll be 25661 so it's technically 11 years

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3 years ago

Simplify: square root of 81+18<img src="https://tex.z-dn.net/?f=%5Csqrt%7B7%7D" id="TexFormula1" title="\sqrt{7}" alt="\sqrt{7}"

Lemur [1.5K]

$\sqrt{81 \: + \: 18 \sqrt{7} \: + \: 7}$