An=-31+(n-1)-11 find the eleventh term
a11 = -31 + (-11) (11-1)
a11 = -31 +-11(10)
a11 =-31 +-110
a11 = -142
Answer:
b) x=13
Step-by-step explanation:
first divide 10 by 2 to get the base of one side of the triangle
the answer will be 5
Then using the Pythagorean theorem
a2+b2=c2
12^2+5^2=169
the square root of 169 will be 13
Answer: One vase should be placed 3 feet from the end of the mantel and the other vase should be placed 9 feet from the same end.
Step-by-step explanation:
You know that lenght of the mantel above their fireplace is 12 feet.
They want to place one vase 
of the distance from one end of the mantel. This distance in feet is:
They want to place the other vase 
of the distance from the same end of the mantel. Therefore, this distance in feet is:
Therefore, one vase should be placed 3 feet from the end of the mantel and the other vase should be placed 9 feet from the same end.
So the formula for a volume of a sphere is 4/3 times pi times the radius cubed.
step one: 4/3 times 3.14 = 4.18666666667
Step two: then you cube 8.5 and get 592.45
the final answer is 2,480.3906
Answer:
Step-by-step explanation:
discriminant = (-13)² - 4·2·15 = 49
discriminant > 0 so there are two real roots
