First, find the midpoint of the diameter. the midpoint is the center of the circle.
[(-10+(-6)]/2=-8, [(-8+(-2)]/2=-5
so the center is at (-8, -5)
next, find the distance between the two points:
d=√[-6-(-10)]²+[-2-(-8)]²=√4²+6²=√52=2√13
half of the diameter is radius, r=half of 2√13=√13
standard equation for the circle is (x-h)²+(y-k)²=r², (h,k) being the center, r the radius
(x+8)²+(y+5)²=13 is the answer.
Answer:
x = 1 1/4
Step-by-step explanation:
6x - 1 = -2x + 9
Move the x to one side and the numbers to the other side:
8x = 10
Simplify:
x = 10/8 = 5/4 = 1 1/4
Answer:
2
Step-by-step explanation:
2/3x + 8/3 = 2x
multiplicate each by 3 : 2x + 8 = 6x
Put all the x on the same side : 8 = 4x
divide each by 4 : 2 = x
x = 2
Answer:
440 students.
Step-by-step explanation:
Given is a table showing the results of a survey.
No of people surveyed = n (say)
No of people who prefer pop music = (5/8) n
(Since given in the table proportion for pop music = 5/8)
But actual studdents who prefer pop music =275
In other words
5n/8 = 275
Cross multiply to solve
5n=2200
divide by 5
n= 440
Thus total people surveyed= 440
Verify:
No of students who prefer Pop music = 440(5/8) = 55(5) = 275
Thus verified
The answer is C
Fell free to mark brainly if you want.
