Answer:
Possible
Step-by-step explanation:
The rule for triangle side lengths is that the two shortest sides must add up to the longest side so it is possible because
3+7 = 10
Two short sides = The longest side
Let L represent the ladder length, and x the distance the horiz. ladder reaches out from the wall. Then L = x + 3, where x is the distance of the bottom of the ladder from the wall when the top of the ladder is 9 ft. above the ground.
Consider the triangle formed by the hypotenuse (L, same as ladder length), the (vertical) side opposite the angle formed by the hypo. (with length 9 ft) and the horiz side (which we will call x). Then, according to the Pythagorean Theorem,
L^2 = x^2 + 9^2. But L = x + 3, and L^2 = x^2 + 6x + 9 = x^2 + 9^2. Solving this equation results in x=3. 6x + 9 = 9^2, or
6x + 9 = 81
6x = 72
x = 12
But L = x+3. So L=12+3, or L = 15 (feet).
Sides, or lengths and widths
Answer:
x < 7
Step-by-step explanation:
First apply the -2 onto each term that it is being multiplied onto.
-2x + 6 > - 8
Now subtract six from both sides.
-2x > -14
Now divide by -2.
x < 7
<u>REMEMBER</u>
When doing greater than and less than equations like this, if you divide by a negative you must flip the greater than/less than.
