Answer:
x = 7
Step-by-step explanation:
12x - 16 = 68
Add 16 to each side
12x - 16+16 = 68+16
12x =84
Divide by 12
12x/12 = 84/12
x = 7
Triangles QST and RST are similar. Therefore, the following is true:
q s
--- = ---- This results in 10q=rs.
r 10
Also, since RST is a right triangle, 4^2 + s^2 = q^2.
Since QST is also a right triangle, s^2 + 10^2 = r^2.
4 s
Also: ---- = ----- which leads to s^2 = 40
s 10
Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2
Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)
The domain and range of g are "all real numbers," so you want to find the range of f when its argument is from the set "all real numbers." That range is y > 0. The appropriate choice is
D. domain: all real numbers; range: y > 0
The horizontal distance between the base of the ladder and the wall is: 11.8 foot
Answer:
the answer is 16
Step-by-step explanation:
hope this helps