Find the standard equation of the circle that satisfies the conditions.Center (-1,-3), passing through the point (3,0)

Answers

Answer 1

Answer: $Equation\ of\ circle\n\n\ r^2=(x-a)^2+(y-b)^2\n\n a,b- \ coordinates\ of\ center\ of\ circle\n\n\ (a,b)=(-1,-3)\n\n r^2=(x+1)^2+(y+3)^2\n\n\ Substituting\ point\ (3,0)\n\n r^2=(3+1)^2+(0+3)^2\n\n r^2=4^2+3^2\n\n r^2=16+9=25\n r=5\n\n Answer:\ \ 25=(x+1)^2+(y+3)^2$

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the maximum amount of time the skier is in the air would be the time to "fall" the 50 meters.

$distance = 1/2 a t^2$

$50 = 1/2 (9.8) t^2$

$t= 3.2 seconds$

Does anybody know the answer to this question please I need help?!

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Answer:

Juan earns 10 dollars a week at his job

Step-by-step explanation:

Kendra took out a loan for $8,000 for 3 years with a compound interest rate of 1.75%. How much will she owe

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Answer:

She will owe approximately $8,427.40 after three years.

Step-by-step explanation:

The compound interest formula is

A = P(1 + r/n)^(nt)

where A is the final amount; P is the principal, or initial, amount; r is the interest rate, as a decimal; n is the number of times the interest is applied per year; and t is the amount of time, in years.

By substituting the values in and assuming that the interest is compounded every year, we get:

A = 8,000(1 + 0.0175)^((1)(3))

8,000(1.0175)^3

8,000(1.05342411)

8,427.40.

What percent of 85 is 72? a. 1.18% b. 84.71% c. 118% d. 91.46%

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Its b ...........................................

Given: 5x + 3 > 4x + 7. Choose the graph of the solution set.

Answers

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$5x+3 > 4x+7$

solve for x

Group terms that contain the same variable, and move the constant to the opposite side of the inequality

$5x-4x > 7-3$

$x> 4$

The solution is the interval-------> (4,∞)

All real numbers greater than $4$

The solution is the shaded area to the right of the vertical dashed line

see the attached figure

Let's solve your inequality step-by-step.

5x+3>4x+7

Step 1: Subtract 4x from both sides.

5x+3−4x>4x+7−4x

x+3>7

Step 2: Subtract 3 from both sides.

x+3−3>7−3

x>4

Answer:

x>4

The sum of a number y and four is 13

Answers

Answer:

y=9

Step-by-step explanation:

$y + 4 = 13 \n y = 13 - 4 \n y = 9$

Other Questions

Sales at a fast-food restaurant average $6,000 per day. The restaurant decided to introduce an advertising campaign to increase daily sales. To determine the effectiveness of the advertising campaign, a sample of 49 days of sales were taken. They found that the average daily sales were $6,300 per day. From past history, the restaurant knew that its population standard deviation is about $1,000. If the level of significance is 0.01, have sales increased as a result of the advertising campaign? Multiple Choice A. Reject the null hypothesis and conclude that the mean is equal to $6,000 per day. B. Fail to reject the null hypothesis. C. Reject the null hypothesis and conclude the mean is lower than $6,000 per day. D. Reject the null hypothesis and conclude the mean is higher than $6,000 per day.

Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality:y > 1/2x + 2 a)The origin is not included in the shaded region, and the shaded area is above the line. b)The origin is not included in the shaded region, and the shaded area is below the line. c)The origin is included in the shaded region, and the shaded area is above the line. d)The origin is included in the shaded region, and the shaded area is below the line.

Which set of numbers is the most reasonable to describe the temperature in alaska during the winter? A) whole numbers B) natural numbers C) irrational numbers D) integers

Paul bought 4 soccer balls at the sports supply store if each soccer ball cost $1.05 and he paid with a twenty dollar bill how much change should he get back