Answer:
diameter = 4√17;
radius = 2√17; and
center: (4,6)
Step-by-step explanation:
The end points J (12,4) and K(-4,8) define the diameter of a circle, as well as the radius and center.
Using the distance formula to find the diameter, d, we get:
d = √ ( (12+4)^2 + (4-8)^2 ) = √ ( 256 + 16 ), or √272 = √(8)(34)
= √(17)(2^4)) = 4√17
and the radius is half that, or 2√17. The coordinates of the center can be found using the midpoint rule: ( [12-4]/2, [4+8]/2 ), or (4, 6).
Kelly's regular pay is $10 per hour and overtime pay is $20 per hour.
<h3>What is equation?</h3>
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. Solving this equation, we get the value of the variable x as x = 7.
Here,
Let her regular pay be x and overtime pay be y.
8x+4y=160
y=x+10
8x+4(x+10)=160
8x+4x+40=160
12x=120
x=10
y=x+10
=10+10
=20
Kelly receives a regular pay rate of $10 and a $20 overtime pay.
To know more about equation,
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Hello there.
Question: <span>What is the range for the scores: 13, 23, 60, 46, 53, 75.
Answer: Range is the largest value minus the smallest answer:
75 - 13 = 62.
The range is 62.
Hope This Helps You!
Good Luck Studying ^-^</span>
Answer:
Step-by-step explanation:
Mean (Average):
6.42857
Median (Middle):
8
Mode (Most Common):
4,8
Answer:
x=5
y=30
x=15
Step-by-step explanation:
y=3x=15, then x=15/3, x=5
x=10, then y=3x=3*10=30
y=3x=45, then x=45/3, x=15
