Answer:
( -1 , 26)
Step-by-step explanation:
So since you need to find the other endpoint, you would follow these steps:
1.) 
2.) 8 = 9 + x ( you just multiplied the 2 to the 4 to get 8)
3.) -1 = x (just solve it like a regular equation, so just subtract 9 on both sides to get rid of it and that leaves you with -1 = x)
You took the x values of both points and put them in the equation.
And its the same for y
1.) 
2.) 16 = -10 + y
3.) 26 = y (you added the 10 on both sides because the 10 was negative and that took the 10 out and so it left you with 26 = y)
Answers:
- A) Ray QS or Ray QR
- B) Line segment QS or SQ
- C) Plane QSR
- D) Line QS or RQ
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Explanation:
Part A)
When naming a ray, always start at the endpoint. This is the first letter and we'll start with point Q.
The second letter is the point that is on the ray where the ray aims at. We have two choices S and R as they are both on the same ray. That's why we can name this Ray QS and Ray QR.
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Part B)
A segment is named by its endpoints. The order of the endpoints doesn't matter so that's why segment QS is the same as segment SQ. To me, it seems more natural to read from left to right, so QS seems better fitting (again the order doesn't matter).
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Part C)
When forming a plane, you need 3 noncollinear points. The term "collinear" means the points all fall on the same line. So these three points cannot all fall on the same straight line. In other words, we must be able to form a triangle of some sort.
So that's how we get the name "Plane QSR". The order of the letters doesn't matter.
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Part D)
To name a line, we just need to pick two points from it. Any two will do. The order doesn't matter. So that's how we get Line QS and Line RQ as two aliases for this same line. It turns out that there are 6 different ways to name this line.
- Line QR
- Line QS
- Line RQ
- Line RS
- Line SQ
- Line SR
All we need to do is start with the volume formula. Then, input the volume and solve the equation for the radius. And double it to get the diameter.
V = (4/3)pi(r^3)
12114.7 = (4/3)pi(r^3) Divide both sides by (4/3) and pi
2893.64 = r^3 Take the cube root of both sides
14.25 = r
So the diameter is about 28.5 cm (14.25 x 2 = 28.5)
Answer:
9 inches.
Step-by-step explanation:
Volume = length * height * width
486 = 18 * 3 * w
w = 486 / (18*3)
= 486 / 54
= 9 inches.
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