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2 years ago

1 point

Mathematics

1 answer:

Eduardwww [97]2 years ago

7 0

Answer:

3/12< 5/9

Step-by-step explanation:

3/12 = 9 / 36

5/9 = 20/36

9/36 < 20/26

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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.

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

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2 years ago

Find the slope of the line passing through the points (5,7) and (-4,2).

Andre45 [30]

Your answer is A!

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

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2 years ago

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Serjik [45]

Answer:

2 and 2/3

Step-by-step explanation:

(2/3)x(2/3)x6=

2 and 2/3

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2 years ago

What is the volume of a sphere with a diameter of 23.5 in, rounded to the nearest

zlopas [31]

Answer:

V≈6795.2in³

Step-by-step explanation:

I think

5 0

2 years ago

Can someone help me!?!?

amm1812

It's the first step.4x-x-2+6=6x+16 ##substract 2 rather an add 2

Check it carefully next time.!!

5 0

2 years ago