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bija089 [108]
3 years ago
8

Which is an equation of a circle with center (-10, 6) and radius 8?

Mathematics
1 answer:
kupik [55]3 years ago
8 0
An equation of a circle:

(x - a)² + (y - b)² = r²

(a; b) - a coordinates of a center
r - a radius

r = 8; (-10; 6) ⇒ a = -10 and b = 6

subtitute

(x - (-10))² + (y - 6)² = 8²

Answer: (x + 10)² + (y - 6)² = 64
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5x-4y+-13 and 3x-4y+-11
drek231 [11]
5x + -4y = 13

Solving
-5x + -4y = 13

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4y' to each side of the equation.
-5x + -4y + 4y = 13 + 4y

Combine like terms: -4y + 4y = 0
-5x + 0 = 13 + 4y
-5x = 13 + 4y

Divide each side by '-5'.
x = -2.6 + -0.8y

Simplifying
x = -2.6 + -0.8y
Simplifying
3x + -4y + -11 = 0

Reorder the terms:
-11 + 3x + -4y = 0

Solving
-11 + 3x + -4y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '11' to each side of the equation.
-11 + 3x + 11 + -4y = 0 + 11

Reorder the terms:
-11 + 11 + 3x + -4y = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 3x + -4y = 0 + 11
3x + -4y = 0 + 11Combine like terms: 0 + 11 = 11
3x + -4y = 11

Add '4y' to each side of the equation.
3x + -4y + 4y = 11 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 = 11 + 4y
3x = 11 + 4y

Divide each side by '3'.
x = 3.666666667 + 1.333333333y

Simplifying
x = 3.666666667 + 1.333333333y
3 0
3 years ago
Read 2 more answers
Solve for x 2|x-6|+14=38
ale4655 [162]

Answer:

x=18   x=-6

Step-by-step explanation:

2|x-6|+14=38

The first step is to isolate the absolute value

Subtract 14 from each side

2|x-6|+14-14=38-14

2|x-6|=24

Divide by 2 on each side

2/2|x-6|=24/2

|x-6| = 12

Now we can seperate the absolute value into two parts, the positive and the negative

x-6 =12          x-6 = -12

Add 6 to each side

x-6+6 =12+6     x-6+6 = -12+6

x=18                    x= -6

4 0
3 years ago
Alexis G. has a cell phone plan that charges $0.05 per minute plus a monthly fee of $25.00. She budgets $35.50 per month for tot
jeyben [28]
The Maximum amount of minutes she could use would be 210

Formula:
0.05x + 25 <= 35.50
6 0
3 years ago
Derek saves 10% of his paycheck each week to buy a mountain bike the mountain bike costs 340.00 Derek receives a paycheck in the
katrin2010 [14]

Answer: 13 weeks

Step-by-step explanation:

First you have to find 10% of 340.00 which is 28, so each week he saves 28.00 for his bike. To find how many paychecks he has to recieve you divide 340.00 by 28.00, which is 12.1, since there is a decimal place you have to round it up to 13 because it is a little bit more than 12 paychecks. ;)

7 0
2 years ago
The mayor of Gemelos, CA strongly believes that drinking coffee stunts growth. In an attempt to getcoffee banned from Gemelos, t
Otrada [13]

Answer:

Yes, it is a matched pairs design.

Step-by-step explanation:

Assuming that the twins used in the experiment are identical, this can be treated as a matched pairs designed. Although there are two individuals receiving different treatments, they are genetically similar enough for this to be considered a matched pairs design (One individual subjected to two different treatments).

3 0
2 years ago
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