7.) the equation of the circle is
(x - 3)^2 + (y - 4)^2 = 25
If you substitute the point in you get
(6-3)^2 + (8-4)^2 = 25
3^2 + 4^2 = 25
9 + 16 = 25
25 = 25
Both sides of the equation are the same so it proves it lies on the circle
8.) you add the x coordinates together and divide by 2
7 + 4 = 11
11/2 = 5.5
You use +7 because you need to find the midpoint.
You then add 5.5 to - 7 or - 5.5 from 4
-7 + 5.5 = - 1.5
You do the same for y coordinates
6+5 = 11
11/2 = 5.5
6-5.5 = 0.5
So the coordinates of Rachel's house are
(-1.5, 0.5)
Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: 
where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
<u>1) Determine the slope (m)</u>
where two points that fall on the line are 
and 
Plug in the given points (2,-5) and (8,-2)
Therefore, the slope of the line is 
. Plug this into :
<u>2) Determine the y-intercept (b)</u>
Plug in one of the given points and solve for b
Subtract 1 from both sides to isolate b
Therefore, the y-intercept of the line is -6. Plug this back into :
I hope this helps!
Answer:
Probability is 0
Step-by-step explanation:
The key information is that the data is normally distributed.
In a normal distribution, each individual value of hours has a probability equals to zero. It is a continuos distribution which is centered in the mean value, and where the expected value is the average.
As the distribution it is centered in the mean value, and it is symmetrical, then the probabilty of a bulb lasting more than the mean value is 0.5, and the probabilty of lasting less than avergare is 0.5 as well, but each individual valu is 0
B. The fraction 4/9 is 4 times as large as 1/9
