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3 years ago

(x + 5)2 + (y - 7)2 = 36, its radius is

1 answer:

3 0

The answer would be 6

Steps: The equation of a circle is (x – h)² <span>+ (y – k)</span>²<span> = r</span>²; since we are trying to find the radius we are going to focus on the r². Now if you look the equation has the 36 filled in as the r² so r² = 36; we now have to isolate the r to get the radius, how do we get the radius? We Square root the r² and 36. After we get r = 6, The radius is 6 units

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2 years ago

Which expression is equivalent to (4p^-4 q)^-2/ 10pq^-3?

Anit [1.1K]

Answer:

$\dfrac{p^{7} q}{160}$

Step-by-step explanation:

$\dfrac{(4p^-4 q)^-2}{10pq^-3} =$

$= \dfrac{4^{-2}p^{-4\times (-2)} q^{-2}}{10pq^-3}$

$= \dfrac{4^{-2}}{10}p^{8-1} q^{-2-(-3)}$

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3 years ago

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If ΔABC is an equilateral triangle with, AB = 2x + 17, BC = 6x - 19, AC = 4x-1, find x and the measure of each side

Soloha48 [4]

Answer:

$x=9, AB=BC=AC=35$

Step-by-step explanation:

Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that $AB=BC=AC$ . We are given the lengths of all 3 sides in terms of $x$ , but we only need to set two of them equal to each other to solve for $x$ . Let's use $AB$ and $BC$ to solve for $x$ . We know that $AB=BC$ , $AB=2x+17$ , and $BC=6x-19$ . Therefore, we can write the following equation to solve for