A circle’s standard form of an equation is:
(x-h)^2 + (y-k)^2 = radius^2
Plug in h and k immediately because that is something you automatically know. H and k are derived from the center of the circle. The center of the circle is (h,k). Don’t get tripped up though, your center of a circle has negative coordinates. When you have two negatives, they become positive.
So now you have:
(x+4)^2 + (y-2)^2 = radius^2
So figure out what the radius is. Use the distance formula to find out. You have a change of 5 from -4 to 1 in x. You have a change of 2 from 2 to 4 in y. Distance formula has the distance as the square root of x distance squared and y distance squared. That would mean that the distance/radius is equal to the square root of (25 + 4). 5 squared is 25 while 2 squared is 4.
The radius of the circle is equal to the square root of (29). However, looking back at the circle equation the radius should be squared for the equation. Square root of 29 squared gets you 29.
Plug that in and you get:
(x+4)^2 + (y-2)^2 = 29
Answer:
The slope is 2/3 and the y-intercept is -3
Step-by-step explanation:
First you subtract 2/3 from both sides and get -3y=-2x+9. Then you divide -3 by -2 and -3 by 9 to get y=2/3-3.
Hope this helped I am not good at explaining but I did this unit like two months ago.
Answer:
50.04 pounds
Step-by-step explanation:
If 1 gallon weighs 8.34 pounds,
all you have to do is multiply 8.34 by 6
to get what 6 gallons would weigh.
Answer:
{- 5, - 4, 2 }
Step-by-step explanation:
the range is the corresponding values of y ( output) from the given set in ascending order without repeats
Answer:
B) x = (-3/5)y + 3
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
first, subtract 3y from btoh sides:
5x + 3y (-3y) = 15 (-3y)
5x = -3y + 15
Next, divide 5 from both sides:
(5x)/5 = (-3y +15)/5
x = (-3/5)y + 3
B) x = (-3/5)y + 3 is your answer.
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