Answer:
the third one
Step-by-step explanation:
Solve for x over the real numbers: by completing the square:
5 x^2 - 30 x = 5
Divide both sides by 5:
x^2 - 6 x = 1
Add 9 to both sides:
x^2 - 6 x + 9 = 10
Write the left hand side as a square:
(x - 3)^2 = 10
Take the square root of both sides:
x - 3 = sqrt(10) or x - 3 = -sqrt(10)
Add 3 to both sides:
x = 3 + sqrt(10) or x - 3 = -sqrt(10)
Add 3 to both sides:
Answer: | x = 3 + sqrt(10) or x = 3 - sqrt(10)
Set up a right triangle. the height is one side of triangle, its length is 400.
The angle opposite to the 400 is 14.3 degrees. The adjacent side is distance across, "x"
Use tangent ratio

Answer: 1 1/3
Step-by-step explanation: 12/3 is 4, so if there are 4 slices remaining (since they ate 2/3 already). Dividing the remaining 4 among them means each person gets 1 1/3 of the remaining 4 slices
Answer:
$13.
Step-by-step explanation:
Let x represent money that Alison has.
We have been given that Leo has 7 times as much money as Alison had. So the amount of money that Leo has, would be
.
We are also told that Leo had $91, so we will equate
with 91 and solve for x as:

To solve for x, we will divide both sides by 7:


Therefore, Alison has $13.