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3 years ago

What is the equation of the circle with the center (-1,-2) and passes through the point (6,4)?

Mathematics

1 answer:

Paha777 [63]3 years ago

8 0

Answer:

(x +1)^2 +(y +2)^2 = 85

Step-by-step explanation:

The equation of a circle with center (h, k) and passing through (a, b) is ...

(x -h)^2 + (y -k)^2 = (a -h)^2 +(b -k)^2

Filling in your numbers gives ...

(x -(-1))^2 +(y -(-2))^2 = (6 -(-1))^2 +(4 -(-2))^2 = 49 +36 = 85

(x +1)^2 +(y +2)^2 = 85

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Anestetic [448]

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4 0

3 years ago

Read 2 more answers

BRAINLIEST!! If the area of ABC is D, give the expressions that complete the equation for the measure of angle C

kati45 [8]

Answer: m= 1+3

Step-by-step explanation:

Basic math helps.

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3 years ago

xP(x)00.2510.0520.1530.55Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal pl

Nookie1986 [14]

The Solution:

Given:

Required:

Find the standard deviation of the probability distribution.

Step 1:

Find the expected value of the probability distribution.

$E(x)=\mu=\sum_{i\mathop{=}0}^3x_iP_(x_i)$ $\begin{gathered} \mu=(0\times0.25)+(1\times0.05)+(2\times0.15)+(3\times0.55) \\ \\ \mu=0+0.05+0.30+1.65=2.0 \end{gathered}$

Step 2:

Find the standard deviation.

$Standard\text{ Deviation}=\sqrt{\sum_{i\mathop{=}0}^3(x_i-\mu)^2P_(x_i)}$ $=(0-2)^2(0.25)+(1-2)^2(0.05)+(2-2)^2(0.15)+(3-2)^2(0.55)$ $=4(0.25)+1(0.05)+0(0.15)+1(0.55)$ $=1+0.05+0+0.55=1.60$

Thus, the standard deviation is 1.60

Answer:

1.60