9514 1404 393
Answer:
(x +6)^2 +(y -10)^2 = 225
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)^2 + (y -k)^2 = r^2
where the center is (h, k) and the radius is r.
The center of a circle is the midpoint of any diameter. The midpoint between two points is the average of their coordinates.
((-15, -2) +(3, 22))/2 = (-15+3, -2+22)/2 = (-6, 10)
The radius can be found using the distance formula, or by simply putting one of the given points in the equation for the circle to see what the constant (r^2) needs to be.
(x -(-6))^2 +(y -10)^2 = (-15-(-6))^2 +(-2-10)^2
(x +6)^2 +(y -10)^2 = 81 +144 = 225
The equation of the circle is ...
(x +6)^2 +(y -10)^2 = 225
Answer: It will take 
of an hour to complete the test.
Step-by-step explanation:
We need to convert the mixed number 
to an improper fraction:
Now, we need to make the following add the fractions in order to calculate how many hours will it take to complete the test. Then, we get:
Therefore, it will take of an hour to complete the test.
2x+10=3x-15
25=x when simplified
Pretty sure when you multiply something by 0 it is 0 <span />
Answer:
the number is 33 and 35 respectively
Step-by-step explanation:
The computation is shown below:
Let us assume X and X + 2 are the two consecutive odd integers
Now the equation is
(X ÷ 3) = ((X + 2) ÷ 7) + 6
(X ÷ 3) = (X + 2 + 6 × 7) ÷ 7
(X ÷ 3) = (X + 2 + 42) ÷ 7
(X ÷ 3) = (X + 44) ÷ 7
Now do the cross multiplication
7X = 3(X + 44)
7X = 3X + 132
4X = 132
X = 33
And, X + 2 = 33 + 2 = 35
hence, the number is 33 and 35 respectively
