Answer:
Period=2pi/3
Step-by-step explanation:
Answer:
1st term : 2
2nd term : 4
3rd term: 8
4th term : 16
5th term : 32
Step-by-step explanation:
Answer:
x = 21/4
Step-by-step explanation:
re-arrange the equation
-4+5x-7-3x = 10-2x (move 3x to the other side)
-4+5x-7-3x+2x = 10 (move 2x to the other side)
5x-7-3x+2x = 10+4 (move 4 to the other side)
5x-3x+2x = 10+4+7 (move 7 to the other side)
4x = 21 (add up both sides)
x = 21/4 (divide both sides by 4
Answer:

Step-by-step explanation:
The ladder, ground, and building form a right triangle where the vertical distance between the top of the ladder and the bottom of the ground is one leg, the horizontal distance between the bottom of the ladder and the building is another leg, and the length of the ladder is the hypotenuse.
For any right triangle, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared (
), where
is the hypotenuse.
Let the length of the ladder be
(hypotenuse of right triangle). The distance between the top of the ladder and the ground (vertical distance) can be represented as
.
From the Pythagorean Theorem, we then have:

Expand using
:

Subtract
from both sides and add
to both sides:

Combine like terms:

Divide both sides by 2:

Therefore, the length of the ladder is 25 feet.
Answer:
x²+12x+11=(3x+21)
Step-by-step explanation:
x²+10x–11=(x–1) (+2x)
x²+12x–11=(3x–1) (+22)
x²+12x+11=(3x+21)
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