Answer:
x = -1, y = 2 and z = -4.
Step-by-step explanation:
-2x + 5y + 4z = -4 ......(A)
-5x - y + z = -1 .............(B)
2y + 2z = -4..................(C) Multiply (A) by 5 and (B) by -2:
-10x + 25y + 20z = -20 ....(D)
10x + 2y - 2z = 2 ..............(E) Adding D + E:
27y + 18z = -18 Dividing by 9:
3y + 2z = -2 ............(F) Subtract: (C) - (F):
-y = -2
y = 2.
Substitute for y is (C):
4 + 2z = -4
2z = -8
z = -4.
Substitute for y and z in (A):
-2x + 5(2) + 4(-4) = -4
-2x = -10 + 16 - 4 = 2
x = -1.
Answer:
I went to the zoo the other day, there was no animals except for a dog!
It was a <em>shiht-zu</em><em>!</em>
I love this joke so much lolllll
Answer: x = 267
Step-by-step explanation: To find x, we need to subtract 500 - 233. This equals 267.
Answer:
A cube is a special prism which has bases and faces that are all squares. A pyramid is a polyhedron with only one base. The shape of the base determines the specific name of each pyramid. The faces are always triangles that meet at a common vertex.
Step-by-step explanation:
Answer:
a) -7/9
b) 16 / (n² + 15n + 56)
c) 1
Step-by-step explanation:
When n = 1, there is only one term in the series, so a₁ = s₁.
a₁ = (1 − 8) / (1 + 8)
a₁ = -7/9
The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.
sₙ = sₙ₋₁ + aₙ
(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ
(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ
aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)
If you wish, you can simplify by finding the common denominator.
aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]
aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)
aₙ = 16 / (n² + 15n + 56)
The infinite sum is:
∑₁°° aₙ = lim(n→∞) sₙ
∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)
∑₁°° aₙ = 1