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Margaret [11]
3 years ago
13

Write the equation in general form of the circle with the given properties.

Mathematics
2 answers:
ser-zykov [4K]3 years ago
7 0
This question has been answered before by someone else.
If the answer provided did not suit your teacher/computer, it might be that the standard form is required, which is the first line of the previous response:

Equation of circle centred at (a,b) with radius r is:
(x-a)^2+(y-b)^2=r^2

with (a,b)=(8,7), i.e. a=8, b=7,  and r=9, the equation of the circle becomes

(x-8)^2+(y-7)^2=9^2
OR
<span>(x-8)^2+(y-7)^2=81</span>
schepotkina [342]3 years ago
5 0
 The equation of a circle with center (8,7) and radius 9 is as follows:

(x-8)^2+(y-7)^2=9^2

Multiplying this equation out will give us the general form of the equation of the circle.

(x-8)^2+(y-7)^2=9^2 \\ (x-8)(x-8)+(y-7)(y-7)=81 \\ (x^2-16x+64) + (y^2 -14x + 49) = 81 \\ x^2-16x+64 + y^2 -14x + 49 = 81

Simplify to get your answer:

x^2+y^2 -16x-14y + (49+64) = 81 \\&#10;x^2+y^2 -16x-14y + 113 = 81
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What speed must you toss a ball straight up so that it takes 4 s to return to you? Show your work.
vekshin1
1) Type of  motion: constant acceleration.
 
2) acceleration, a = 9.8 m/s^2

3) time up = time down = 4seconds / 2 = 2 seconds

4) formula = Vf = Vo - a*t^2/2

Vf = 0 => Vo = a*t^2 / 2 = 9.8m/s^2 * (2 s)^2 / 2 = 19.6 m/s

Answer: 19.6 m/s
4 0
3 years ago
"Which number can be inserted in the parentheses so the numbers are ordered from least to greatest?" -3,(),-1 1/8 A. -3 1/2 B. 0
-BARSIC- [3]

Answer:

Option C

Step-by-step explanation:

The first number is - 3, then we have a blank and the third number is - 1 1/8

In order for the numbers to be arranged from least to greatest, the number in the center should be greater than -3, and lesser than -1 1/8

Note that for negative numbers, the larger the constant, the smaller the number. i.e. -5 is smaller than -4.

So from the given options, the only number that is greater than -3 and lesser than -1 1/8 is - 2 1/4

So, option C gives us the correct answer to have the numbers ordered from least to greatest.

7 0
2 years ago
What is the slope of the line that contains the points (-1,2) and (3,3)?
Semmy [17]

Answer:

1/4

Step-by-step explanation:

To find the slope of a line from two points we use

m = (y2-y1)/(x2-x1)

m = (3-2)/ (3--1)

   = (3-2)/(3+1)

  =1/4

4 0
3 years ago
Read 2 more answers
Hshshjsjsjsjsjsjjsjs
Ulleksa [173]

Answer:

3 ÷ 8

Step-by-step explanation:

1. A fraction has two parts: a numerator and a denominator. The numerator is the dividend (the number that is to be divided by the divisor), and the denominator is the divisor (the number that is divided into the dividend).

2. Given the information above, we know that 3 is the numerator, and 8 is the denominator. This means 3 ÷ 8 = 3/8.

7 0
2 years ago
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Bogdan [553]

Answer: What is the answer you need?

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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