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
Answer:40 degrees
Step-by-step explanation:
Answer:
After 4 weeks they have $413
After 5 weeks they have $485 (more than enough money)
Step-by-step explanation:
we know that here are 3 people saving up this money and we know that they have already saved 125 dollars.
if each saves $24 per week... 24*3=72 (total profit per week)
for 4 weeks... 72*4=288
288+125(already saved up)= 413
If they go one more week and save up another 72 dollars in 1 week this will bring them past their goal
Answer:
60
Step-by-step explanation:
Statements #1-4 are all true. Statement 5 is false due to the fact that when x = 0, y = 3.
