One coordinate that is 7 units away from (2,-7) is (2,0). (2,0) is 7 units to the right of (2,-7)
Another coordinate is (9,-7). This one also works.
Answer:
1131.0 m³
Step-by-step explanation:
Using the formula for the volume of a cylinder, fill in the appropriate values and do the arithmetic.
V = πr²h
Since this formula needs the radius of the cylinder and you are given the diameter, you must divide the diameter by 2 to get the radius:
r = d/2 = (12 m)/2 = 6 m
Then the volume is ...
V = π(6 m)²(10 m) = 360π m³ ≈ 1131.0 m³ . . . . . rounded to tenths
It would be 3 and 1 one hundredth.
Answer:
Step-by-step explanation:
Z = (x-µ)/(s/√n)=(98.5-98.2)/(0.62/√19) = 2.11
left tail p-value = 0.9826
so 98.26% are lower.
Answer:
Step-by-step explanation:
3x – y + 2z = 6 - - - - - - - - - 1
-x + y = 2 - - - - - - - - - - - - -2
x – 2z = -5 - - - - - - - - - - - -3
From equation 2, x = y - 2
From equation 3, x = 2z - 5
Substituting x = y - 2 and x = 2z - 5 into equation 1, it becomes
3(y - 2) – y + 2z = 6
3y - 6 - y + 2z = 6
3y - y + 2z = 6 + 6
2y + 2z = 12 - - - - - - - - - 4
3(2z - 5) – y + 2z = 6
6z - 15 - y + 2z = 6
- y + 6z + 2z = 6 + 15
- y + 8z = 21 - - - - - - - - - - 5
Multiplying equation 4 by 1 and equation 5 by 2, it becomes
2y + 2z = 12
- 2y + 16z = 42
Adding both equations
18z = 54
z = 54/18 = 3
Substituting z = 3 into equation 5, it becomes
- y + 8×3 = 21
- y + 24 = 21
- y = 21 - 24 = - 3
y = 3
Substituting y = 3 into equation 2, it becomes
-x + 3 = 2
- x = 2 - 3 = -1
x = 1
