Answer:
Step 1
Use the distributive property to multiply 22 by x-5x−5.
|2x-10|+11=17∣2x−10∣+11=17
Hint
Expand using distributive property.
Step 2
Subtract 1111 from both sides.
|2x-10|=17-11∣2x−10∣=17−11
Step 3
Subtract 1111 from 1717 to get 66.
|2x-10|=6∣2x−10∣=6
Hint
Subtract one term from another.
Step 4
Use the definition of absolute value.
2x-10=62x−10=6 2x-10=-62x−10=−6
Step 5
Add 1010 to both sides of the equation.
2x=162x=16 2x=42x=4
Step 6
Divide both sides by 22.
x=8x=8 x=2x=2
Solution
x=2x=2
x=8x=8
Step-by-step explanation:
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Answer:

Step-by-step explanation:
The area of a triangle is given by
where
is the base of the triangle and
is the height of the triangle. In a right triangle, the two legs will represent the base and height, both interchangeable.
In a 30-60-90 triangle, the sides are in the proportion
, where
is the hypotenuse of the triangle and
is the side opposite to the 30 degree angle. Since the hypotenuse of this triangle is given as 10, the leg opposite to the 30 degree angle is equal to
and the leg adjacent to the 30 degree angle is equal to
.
Thus, the area of this triangle is equal to:

Answer:
There are 2,500 misquitos after 3 days and it takes 158 days to reach 80,000 mosquitos.
To solve an inequality, get the variable you're solving for on one side of the inequality and everything else on the opposite side.

You get the x variable on it's own by undoing the operations done to it.
For example, if x is being multiplied by 5, you undo the multiplication operation by using the inverse of multiplication. Which is division.
We need to add

to both sides of the inequality to undo the subtraction operation done to x.

Convert the improper fraction into a mixed number.

So, D 1 1/5 ≥ x is the answer.