X + y = k
x - y = k Add these two equations.
2x = 2k Divide both sides by 2
2x/2 = 2k/2
x = k
x + y = k
k + y = k Subtract k from both sides.
y = 0
Answer:
x<-35
Step-by-step explanation:
Answer:
V = 25,061.4 m³ or
V= 4032π [2(1 + √126) - √505] m³
Step-by-step explanation:
Given y = 2016 + x²
Since the body is rotated along the y axis, we need to find the limits along y-axis corresponding to x =0 and x=2, we do this by substituting the values of x to obtain the y-values
So at x = 0, y = 4√126
at x = 2, y = 2√505
But V = ∫ πx²dy..............
So making x the subject we have:
x²= (2016-y)
Therefore V = ∫π(2016-y)dy, at y = 4√126 and 2√505
V = π[2016y- y²]
V = π[[2016(4√126) -(4√126)²-[2016(2√505)-(2√505)²]]
V = 2016π[ [(4√126)(1-4√126)] - [2√505(1-2√505)] ]
V = 2×2016π[ [2√126(1 - 4√126)] - [√505(1 - 2√505)] ]
V= 4032π [ 2√126 - 1008 - √505 +1010]
V= 4032π [2√126 - √505 +2]
V= 4032π [2(1 + √126) - √505]
Or
V = 12672(1.9777)
V= 25061.4 m³
Answer:
57°F differences
Step-by-step explanation:
-14+57= 43
43-57= -14
Answer:
33 students
Step-by-step explanation:
Fifteen percent of the students in seventh grade at western middle school have perfect attendance. There are 220 students in seventh grade. How many have perfect attendance?
Fifteen percent in decimal from is 0.15.
You would then multiply that by the number of students; 220.
.15 * 220 =
One multiplied, you get 33.
Therefore, 33 students have perfect attendance.