The standard form for the equation of a circle is :
<span><span><span> (x−h)^</span>2</span>+<span><span>(y−k)^</span>2</span>=<span>r2</span></span><span> ----------- EQ(1)
</span><span> where </span><span>handk</span><span> are the </span><span>x and y</span><span> coordinates of the center of the circle and </span>r<span> is the radius.
</span> The center of the circle is the midpoint of the diameter.
So the midpoint of the diameter with endpoints at (−10,1)and(−8,5) is :
((−10+(−8))/2,(1+5)/2)=(−9,3)
So the point (−9,3) is the center of the circle.
Now, use the distance formula to find the radius of the circle:
r^2=(−10−(−9))^2+(1−3)^2=1+4=5
⇒r=√5
Subtituting h=−9, k=3 and r=√5 into EQ(1) gives :
(x+9)^2+(y−3)^2=5
6 hours Zoey can expect from the tablet on a full battery charge if the battery dropped by 33%, from 100% to 67%.
<h3>What is percentage?</h3>
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
We have:
Zoey wants to use her computer tablet throughout a 6-hour flight. Upon takeoff, she uses the tablet for 2 hours and notices that the battery dropped by 33%, from 100% to 67%.
Let's suppose x hours Zoey can expect from the tablet on a full battery charge.
The value of x can be calculated using:
x = (2×100)/33
x = 200/33
x = 6.06 ≈ 6 hours
Thus, 6 hours Zoey can expect from the tablet on a full battery charge if the battery dropped by 33%, from 100% to 67%.
Learn more about the percentage here:
brainly.com/question/8011401
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Answer:
Slope = 2 Y-Intercept = (0, 3)
Step-by-step explanation:
Slope : 
which is 
from two points: point1 (x1 , y1) and point2 (x2, y2).
For the purpose of getting the slope I will be using point (0, 3) as point 1
and point (-3, -3) as point 2.
If you plug in 0 as x1, 3 as y2, -3 for x2, and -3 for y2:
= 
= 2
Y-Intercept: The y intercept is the point where the line is touching the y axis. Which in this graph, there is only point (0,3).
Answer:
45000 five digit odd numbers are possible if the leftmost digit cannot be zero.
Step-by-step explanation:
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