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3 years ago

Find the equation for the circle with a diameter whose endpoints are (1,-2) and ( 2, 5)

Mathematics

1 answer:

alekssr [168]3 years ago

7 0

Answer:

((1 + 2)/2 , (-2 + 5)/2) = (1.5 , 1.5)

(1.5 - 1)^2 + (1.5 - (-2))^2 = 12.5

Circle

(x - 1.5)^2 + (y - 1.5)^2 = 12.5

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ΔEFG is located at E (0, 0), F (−7, 4), and G (0, 8). Which statement correctly classifies ΔEFG?

MariettaO [177]

Answer:

ΔEFG is an isosceles triangle.

Step-by-step explanation:

Given:

E (0, 0),

F (−7, 4),

G (0, 8)

ΔEFG

Solution:

Distance formula

Distance d = $\sqrt{(x_2-x_1)^2 +( y_2-y_1)^2$

Step 1: Finding the length of EF

By using distance formula,

$EF = \sqrt{(-7 - 0)^2 + (4-0)^2}$

$EF = \sqrt{(49) + (16)}$

$EF = \sqrt{(49) + (16)}\\EF = \sqrt{65}\\$

Step 2: Finding the length of FG

By using distance formula,

$FG = \sqrt{(0-(-7))^2+(8-4)^2}\\FG = \sqrt{(7)^2 +(4)^2}\\FG = \sqrt{49 +16}\\FG = \sqrt{65}$

Step 2: Finding the length of GE

$GE= \sqrt{(0-0)^2 + (0-8)^2}\\\\GE =\sqrt{(-8)^2}\\GE = \sqrt{64}\\GE = 8$

Thus we could see that the sides EF = FG

So it is a isosceles triangle.

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2 years ago

What Number is X in this equation? 9 - 3 ÷ 1/3 + 1 = X

mario62 [17]

Answer:

Step-by-step explanation:

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frosja888 [35]

Answer:

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Example:

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3 years ago

Find the equation for the circle with a diameter whose endpoints are​ (1​,-2​) and ( 2, 5)

Find the equation for the circle with a diameter whose endpoints are (1,-2) and ( 2, 5)