The standard form for the equation of a circle is :
(x−h)^2+(y−k)^2=r2 ----------- EQ(1)
where handk are the x and y coordinates of the center of the circle and r is the radius.
The center of the circle is the midpoint of the diameter.
So the midpoint of the diameter with endpoints at (7,-4)and(1,-10) is :
((7+(1))/2,(-4+(-10))/2)=(4,-7)
So the point (4,-7) is the center of the circle.
Now, use the distance formula to find the radius of the circle:
r^2=(7−(4))^2+(-4−(-7))^2=9+9=18
⇒r=√18
Subtituting h=4, k=-7 and r=√18 into EQ(1) gives :
(x-4)^2+(y+7)^2=18
Answer:
3 3/4
Step-by-step explanation:
Each block is worth 0.5 cm (1/2)
One note - NEVER FORGET THE UNITS
L - 5 blocks (5 blocks × 0.5cm = 2.5cm)
W - 2 blocks (2 blocks × 0.5cm = 1cm)
H - 3 blocks (3 blocks × 0.5cm = 1.5cm)
Formula for Volume:
V = L × W × H
V = 2.5cm × 1cm × 1.5cm = 3.75cm (fraction can be 3 3/4)
You're welcome :)
Answer:
1.20
Step-by-step explanation:
you divide the orginal cost by 3
<h3>
Answer: (n-1)^2</h3>
This is because we have a list of perfect squares 0,1,4,9,...
We use n-1 in place of n because we're shifting things one spot to the left, since we start at 0 instead of 1.
In other words, if the answer was n^2, then the first term would be 1^2 = 1, the second term would be 2^2 = 4, and so on. But again, we started with 0^2 = 0, so that's why we need the n-1 shift.
You can confirm this is the case by plugging n = 1 into (n-1)^2 and you should find the result is 0^2 = 0. Similarly, if you tried n = 2, you should get 1^2 = 1, and so on. It appears you already wrote the answer when you wrote "Mark Scheme".
All of this only applies to sequence A.
side note: n is some positive whole number.
Answer:
2.5
Step-by-step explanation:
