PLZZZ HELP DUE IN 30 MINUTESSS!!!!!

Mathematics

1 answer:

s344n2d4d5 [400]2 years ago

4 0

Look to be honest this is what I got hopefully it is right my bad if they aren’t.

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Find an equation of the circle that satisfies the given conditions.

hodyreva [135]

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the centre
r - the radius

The midpoint of the diameter is the centre of a circle.
The coordinates of the midpoint:
$(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$
(x₁,y₁), (x₂,y₂) - the coordinates of endpoints

$P(-1,1) \\
x_1=-1 \\ y_1=1 \\ \\ Q(5,9) \\ x_2=5 \\ y_2=9 \\ \\
\frac{x_1+x_2}{2}=\frac{-1+5}{2}=\frac{4}{2}=2 \\ \frac{y_1+y_2}{2}=\frac{1+9}{2}=\frac{10}{2}=5$

The centre of the circle is (2,5).

The radius is the distance between an endpoint of the diameter and the centre.
The formula for distance:
$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$(-1,1) \\ x_1=-1 \\ y_1=1 \\ \\ (2,5) \\ x_2=2 \\ y_2=5 \\ \\ d=\sqrt{(2-(-1))^2+(5-1)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5$

The radius is 5.

$(x-2)^2+(y-5)^2=5^2 \\
\boxed{(x-2)^2+(y-5)^2=25}$

4 0

2 years ago

Will give brainliest for correct answer...

EastWind [94]

Answer:

85 degrees Fahrenheit

Step-by-step explanation:

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3 years ago

Use the diagram to complete the statements.

Ksenya-84 [330]

Answer: The answers are: 3, 4, point R to point Q, depression from point Q to point R

Step-by-step explanation:

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2 years ago

PLS HELP ME WITH GEOMETRY PLS :)

MArishka [77]

Answer:

-4, -24

Step-by-step explanation:

The location of Z is either +10 or -10 units away from Y, since YZ = 10. Then Z could be located at either -4 or -24.

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3 years ago

Read 2 more answers

How many groups of 1/2 are in 3 1/2

Nuetrik [128]

Answer:

7 Groups of 1/2 in 3 1/2

7 0

2 years ago