Determine the equation of a circle having a diameter with endpoints at (12,-14) and(2,4)

Answers

Answer 1

Answer: Center of a circle is a midpoint of line connecting two endpoints so center is:
(12,-14) (2,4) we divide those two points by two
C(a,b)- center
C(a,b)=((12+2)/2),(-14+4)/2)=(7,-5)
Radius is the distance from the center to any point on the circle:
we take point (2,4)
r= $\sqrt{ (7-2)^(2) + (-5-4)^(2) } = √(25+81) = √(106)$

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There goes my hopes for Virtuoso rank....What are the zeros of the function y = x2 + 10x – 171, and why? A) The zeros are x = –19 and x = 9 because in factored form, the function is y = (x – 19)(x + 9) B) The zeros are x = –19 and x = 9 because in factored form, the function is y = (x + 19)(x – 9). C) The zeros are x = 19 and x = –9 because in factored form, the function is y = (x – 19)(x + 9). D) The zeros are x = 19 and x = –9 because in factored form, the function is y = (x + 19)(x – 9).
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1 Simplify Expression 1.(D+5)+(d+5)+(d+5)
The difference between two numbers is 25. The smaller number is 1/6th of the larger number. What is the value of the smaller number?

Which of the following are the factors of q3 – q2 + 2q – 2?

Answers

Hello,

q^3-q²+2q-2=q²(q-1)+2(q-1)=(q-1)(q²+2)

A wildflower bouquet costs $4.25 at the farmer's market. A vase can be purchased for an additional $3.50. Kelly has $20 to buy a bouquet for her mother with a vase. She'd also like to buy just a bouquet for herself and another for her best friend.If x represents the number of bouquets Kelly can buy, which inequality will tell Kelly if she has enough money to make her purchase?
A) $4.25x + $3.50 ≤ $20
B) $4.25x - $3.50 ≤ $20
C) $4.25x + $3.50 ≥ $20
Eliminate
D) $3.50x + $4.25 ≤ $20;

Answers

A is the answer.
4.25 multiply 3= 12.75
12.75 + 3.50= 16.50
16.50 ≤ $20

Answer:

Step-by-step explanation:

Use the Elimination method to solve the system of equations.

X+y=-3
X-y=13

Answers

x + y = -3
x - y = 13
    2x = 10
   2 2
      x = 5
x + y = -3
5 + y = -3
- 5    - 5
      y = -8
(x, y) = (5, -8)

For x
x+y=-3
x-y=13
---------
2x=10
x=5
For y
5+y=-3
y=-3-5
y=-8

Find the slope and the y-intercept of the graph of y + 1 = x.

Answers

Answer: The slope is 4/3

Step-by-step explanation:

Whatever number is attatched to the "x" is the slope.

Answer:

Slope: M = 4/3

Y-Intercept: : (0,−1)

Step-by-step explanation:

What is the solution of the equation? W-2 = -3
a. -3/2
b. -5
c. -1
d. 0

Answers

$w-2 = -3\nw -2+2 = -3+2\nw = -3+2\nw =2-3\n\n\boxed{\bf{w=-1}}$

Your answer is C.

What is the equation of the given line in standard form? Use integer coefficients y = 5/7x - 12 A. -5x + 7y = -12 B. -5x - 7y = -84 C. -5x + 7y = -84 D. 5x + 7y = -84

Answers

y = 5/7 x - 12 / * 7 ( we will multiply both sides of the equation by 7 )
7 y = 5 x - 84
7 y - 5 x = 5 x - 5 x - 84
7 y - 5 x = - 84
- 5 x + 7 y = - 84
Answer: The equation in standard form is C ) - 5 x + 7 y = - 84

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