When we connect the ends of the poles and the project the horizontal line from the end of the 10-ft pole to the other pole, we form a right triangle with the legs equal to 12 ft and difference of the lengths of the pole. Using the Pythagorean theorem,
h² = sqrt ((12 ft)² + (15 - 10)²)
h = 13 ft
Thus, the distance between the tops of the poles is equal to 13 ft.
Answer:
(- 4, - 12 ) , (4, 12 )
Step-by-step explanation:
Given the 2 equations
y = 3x → (1)
y = x² + 3x - 16 → (2)
Substitute y = x² + 3x - 16 into (1)
x² + 3x - 16 = 3x ( subtract 3x from both sides )
x² - 16 = 0 ( add 16 to both sides )
x² = 16 ( take the square root of both sides )
x = ± = ± 4
Substitute these values into (1) for corresponding values of y
x = - 4 : y = 3 × - 4 = - 12 ⇒ (- 4, - 12 )
x = 4 : y = 3 × 4 = 12 ⇒ (4, 12 )
Answer:
Step-by-step explanation:
The function f(x) is 3x+5
● (f-1)(x) = 3x+5 -1
● (f-1)(x) = 3x+4
Replace x with 3
● (f-1)(x) = 3×3+4 = 13
Answer:
4b+4n
Step-by-step explanation:
what will help you best on problems like these just put a one in front of the letters 4(1b+1n) then it will not be as confusing. Because you have a number to multiply by. you get the same answer either way.