Answer:The center is (-5,2)
The radius is 5
Step-by-step explanation:
Equation of a circle is:
(x-h)^2+(y-k)^2=r^2
(x+5)^2+(y-2)^2=5^2
Comparing both equations we get :
The center (-5,2)
The radius is 5
Answer:
$8.75
Step-by-step explanation:
To calculate this you could use two methods. The first method is to find out what 10% is and multiply it by 5. The second method is to calculate 50% using the formula.
<u>Method 1:</u>
To work this out you would simply divide 17.50 by 10, which is 1.75. This is because percentages are out of 100 and so by dividing by 10 we are finding out what 10% is. Then you would multiply 1.75 by 5, which is 8.75. Then you would minus 8.75 from 17.50, which is 8.75.
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1) Divide 17.50 by 10.

2) Multiply 1.75 by 5.

3) Minus 8.75 from 17.50.

4) The new price is $8.75
<u>Method 2:</u>
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The formula for percentages is.

<u></u>
To work this out you would first divide 50 by 100, which gives you 0.5. Then you would multiply 0.5 by 17.50, which is 8.75. Then you would minus 8.75 from 17.50, which is 8.75.
1) Divide 50 by 100.

2) Multiply 0.5 by 17.50.

3) Minus 8.75 from 17.50.

4) The new price is $8.75.
3 weeks from tomorrow will be Wednesday
Answer:
x = 2
Step-by-step explanation:
You are solving for the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction.
First, subtract 25 from both sides of the equation:
5x + 25 (-25) = 35 (-25)
5x = 35 - 25
5x = 10
Isolate the variable, x. Divide 5 from both sides:
(5x)/5 = (10)/5
x = 10/5
x = 2
x = 2 is your answer.
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Answer:
Diameter = 19.33
Step-by-step explanation:
Imaging a radius line from O to the endpoints of the 7. call this line R.
Label the part of the vertical line from O to the 90 degree intersection y.
Now you have a right triangle.
Using the Pythagorean theorem:
R² = 7² + y²
also
y = R - 3
substitute for y:
R² = 49 + (R-3)²
R² = 49 + R² - 6R + 9
simplify:
0 = 58 - 6R
6R = 58
R = 9.6667
Diameter = 2(9.6667) = 19.33