For two lines to be perpendicular, their slopes must be negative reciprocals of one another, mathematically:
m1*m2=-1, in this case our reference line has a slope of -3 so:
-3m=-1 divide both sides by -3
m=-1/-3
m=1/3
So the perpendicular line will have a slope of 1/3
x=3 1/4 is not a solution to the equation.
12 5/8=x+9 1/4 Subtract 9 1/4 from each side 3 3/8=x, but 3 1/4=3 2/8
Answer:
≈ 20.8 ft
Step-by-step explanation:
A right triangle is formed between the wall, the ground and the ladder.
The ladder is the hypotenuse , the wall and ground are the legs.
let h be the height of the wall, then using Pythagoras' identity
h² + 33² = 39²
h² + 1089 = 1521 ( subtract 1089 from both sides )
h² = 432 ( take the square root of both sides )
h =
≈ 20.8 ft ( to the nearest tenth )
Answer:
12 years younger.
Step-by-step explanation:
Let Jan's age be J and Karyn's age be K.

Jan's age 8 years ago is 2/5 of Karyn's age 4 yeaRs from now.

=> 
=> 4K = 48 X 3
=> K= 36.
=> J= 24.
So Jan is 12 years younger.
<span>The factors of 16 are 1, 2, 4, 8, and 16.</span>