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3 years ago

Find the equation of the circle that satisfies the given conditions. Radius 2 and center (4, -7)?

1 answer:

6 0

$The\ equation\ of\ the\ circle:\\\\(x-a)^2+(y-b)^2=r^2\\\\where\\\\center:(a;\ b)\\\\radius:r$

$Center:(4;-7);\ radius:r=2\\\\(x-4)^2+(y+7)^2=2^2\\\\(x-4)^2+(y+7)^2=4$

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I have attached the question for you

scoundrel [369]

Answer:

s = $\frac{1}{3}$

Step-by-step explanation:

s = ut + $\frac{1}{2}$ at² ( substitute the given values into the equation )

s = ( 3 × $\frac{1}{3}$ ) + ( $\frac{1}{2}$ × - 12 × ( $\frac{1}{3}$ )² )

= 1 + (- 6 × $\frac{1}{9}$ )

= 1 + ( - $\frac{2}{3}$ )

= 1 - $\frac{2}{3}$

= $\frac{1}{3}$

4 0

2 years ago

Read 2 more answers

A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease. Among those who have the d

astra-53 [7]

Answer:

Step-by-step explanation:

The persons who have diseases = 19%

The persons who do not have diseases = 81%

Probability for the test showing positive = Prob of actual disease and shows positive + Prob of no disease but test shows wrong

= $0.7*0.19+0.04*0.81\\=0.133+0.0324\\=0.1654$

Prob that the person actually has the disease given that the test administered to an individual is positive= $\frac{0.133}{0.1654} \\=0.0804$

30) A B C total

2x 7x x 10x

P(A) = 0.2, P(B) = 0.7, P(C) = 0.1

Let D be the event that the product is defective

P(D/A) = 0.032, P(D/B) = 0.034 and P(D/C) = 0.056

Required probability =P(C/D)

= $\frac{P(D/C) P(C)}{P(D/A) P(a)+P(D/B) P(B)+P(D/C) P(C)}$

by using Bayes theorem for conditional probability

= $\frac{0.1*0.056}{0.2*0.032+0.7*0.034+0.1*0.056} \\=\frac{0.0056}{0.0064+0.0238+0.0056} \\\\=0.156425$

32) 7 digit phone numbers with repitition including 0 will be

= $10^7$

Numbers which have atleast one 7 = total number - numbers which do not have a single 7

= $10^7 -9^7$

the probability that a 7-digit phone number contains at least one 7

= $\frac{10^7-9^7}{10^7}$

3 0

2 years ago

Find the exact equation of the line

lesya [120]

Answer:

y= 3/4x -2

Step-by-step explanation:

use y=mx+b, plug in the slope and y-int

6 0

3 years ago

Read 2 more answers

Which number is equivalent to 0.000 000 1 : 10^7 or 10^-7 and why

kondaur [170]

It would be 10^-7.

When you have a negative number in scientific notation, you count a whole zero and start counting behind the decimal point because a negative number is less than 0. So, it cannot have a value over 0. Though if it was after the decimal, it would be the positive answer because a positive number is higher than 0.

An example would be:
10^-3=0.001
10^3=1000

4 0

3 years ago

Find the cosine of ∠J.

expeople1 [14]

Answer:

$\cos = \frac{base}{hypotenuse} = \\ \cos(j) = \frac{ \sqrt{29} }{ \sqrt{94} } = \sqrt{ \frac{29}{94} } \\ answer = \sqrt{ \frac{29}{94} }$

3 0

2 years ago