The two points (-2,4) and (4,2) are the endpoints of the diameter of a circle. What is the equation of this circle in standard form?

Answers

Answer 1

Answer: $Center\ of\ the\ circle\ is\ the\ midpoint\ AB\ where\ A(-2;\ 4)\ \&\ B(4;\ 2)\n\ncenter:O\left((-2+4)/(2);\ (4+2)/(2)\right)\to O(1;\ 3)\n\nRadius\ of\ the\ circle\ is\ distance\ O\ to\ A:\n\nr=|OA|=√((-2-1)^2+(4-3)^2)=√(9+1)=√(10)\n\nEquation\ of\ a\ circle:\n\n(x-a)^2+(y-b)^2=r^2\ whete\ center\ is\ (a;\ b)\ and\ radius\ is\ r.\n\nEquation\ of\ this\ circle:\n\n(x-1)^2+(y-3)^2=(√(10))^2\n\n(x-1)^2+(y-3)^2=10$

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Which of the following is the reciprocal of x2 – 2x – 8?

Answers

Hi again

x² - 2x - 8
Factor
= (x + 2)(x -4)
Answer : A is the correct option.

If you wanna check if A is the right answer, I will solve it for you and it will you give you the exact answer which will be x² - 2x - 8
(x+2)(x-4)
Distribute
(x)(x) + (x)(-4)+(2)(x)+(2)(-4)
= x² - 4x + 2x - 8
= x² - 2x - 8
Here it is, we find the exam answer.

Thus, (x+2)(x-4) is the reciprocal of x² -2x - 8

I hope that's help !

Determine whether the function y=0.8(2/3)^x represents exponential growth or decay.

Answers

I believe your answer is going to be decay. (There's a picture of what the graph would look like below.)

your anwer woukd be decay not growth

Angel is shopping in a department store for sneakers. He picks a pair of sneakers that costs $85 but are on sale for 15% off.
Since they were on clearance he was entitled to an additional 10% off
the sale price. What was the total cost of the sneakers?

Answers

Answer:

65 dollars and 2 cent

Step-by-step explanation:

Angie has some red and blue beads. 40% of her beads were red. When she lost 50 blue beads, the number of blue beads was reduced by 1/3 its original number of beads. How many beads did Angie have in the end?

Answers

Answer:

Step-by-step explanation:

Let x represent the total number of red and blue beads

Angie has some red and blue beads. 40% of her beads were red. This means that the total number of red beads is

40/100 × x = 0.4x

The number of blue beads would be

x - 0.4x = 0.6x

When she lost 50 blue beads, the number of blue beads was reduced by 1/3 its original number of beads. This means that

0.6x - 50 = 0.6x - 0.6x/3

0.6x - 50 = 0.6x - 0.2x = 0.4x

0.6x - 0.4x = 50

0.2x = 50

x = 50/0.2 = 250

The number of blue beads that Angie had initially is

0.6 × 250 = 150

The number of blue beads that Angie has left is

150 - 50 = 100 beads

The number of beads that Angie has in the end is

250 - 50 = 200 beads

2) The diagonal of a square is 27sq.root2 inches. Find the perimeter of the square.

Answers

Answer:

P≈76.37

Step-by-step explanation:

Using the formulas

P=4a

d= √2a

Solving for P

P=2√2d=2·√2·27≈76.36753

John is a runner. He runs the 100m sprint in 20.0 s. Calculate John's speed. Show your work!

Answers

Answer: John runs 5 m/s

Step-by-step explanation: Divide 100 by 20 and you get 5.

Also you are dividing the meters he runs by the seconds he runs.

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