2x+8+ 120= 180
Combine like terms so 8+120=128
2x+8+ 120= 180
2x+128=180
-128=-128 ( to both side)
2x= 52 You divide now
2x/2= 52/2
x= 26
There is your answer :)
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).
Answer:
c, e, f, and i
Step-by-step explanation:
a. is bounded above at y = 1 and below at y = 0
b. is unbounded both above and below
c. is bounded below at y = 0 and unbounded above
d. is unbounded both above and below
e. is bounded below at y = 0 and unbounded above
f. is bounded below at y = 0 and unbounded above
g. is bounded below at y = 0 and bounded above at y = 1
h. is unbounded both above and below
i. is bounded below at y = 0 and unbounded above
j. is unbounded both above and below
Answer:
A = 20.5 sq units
Step-by-step explanation:
you have the height of 5 but need to figure out the base
we can use the Pythagorean Theorem two times to find it
1) a² + 5² = 7²
a² = 49-25
a = 
= 
·
= 2
2) b² + 5² = 6²
b² = 36-25
b = 
Base = 2 +
A = 1/2 x 5· (2 + )
A = 2.5 · (2 + )
A = 2.5(8.2)
A = 20.5
