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15.10.2019 •

Mathematics

Asap

1) construct x such that a/x = x/b

2) construct x such that x / sqrt rs

3) construct x such that x = 2 sqrt rs

the second image provided is the instructions on how to complete the questions.

Asap 1) construct x such that a/x = x/b 2) construct x such that x / sqrt r

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Ответ:

MorgannJ

04.07.2021

Mathematics

(x - 2)² + (y + 3)² = 32

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

The centre of the circle is at the midpoint of the diameter

Calculate the centre (x, y ) using the midpoint formula

(x, y ) = ( $\frac{x_{1}+x_{2} }{2}$ , $\frac{y_{1}+y_{2} }{2}$ )

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (6, - 7)

(x , y ) = ( $\frac{-2+6}{2}$ , $\frac{1-7}{2}$ ) = ( $\frac{4}{2}$ , $\frac{-6}{2}$ ) = (2, - 3)

The radius is the distance from the centre to either of the endpoints

Calculate the radius using the distance formula

r = $\sqrt{(x_{2}-x_{1})^2+( y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (- 2, 1)

r = $\sqrt{(-2-2)^2+(1-(-3))^2}$

= $\sqrt{(-4)^2+(1+3)^2$

= $\sqrt{16+4^2}$

= $\sqrt{16+16}$

= $\sqrt{32}$

Then equation of circle is

(x - 2)² + (y - (- 3) )² = ( $\sqrt{32}$ )² , that is

(x - 2)² + (y + 3)² = 32

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Asap 1) construct x such that a/x = x/b 2) construct x such that x / sqrt rs 3) construct x such that x = 2 sqrt rs the second image provided is the instructions on how to complete the questions.