Answer:
7000
Step-by-step explanation:
Answer:
see below
Step-by-step explanation: 5 23 8 03
the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.
shorter leg = x
longer leg = x + 9
hypotenuse = 2x - 9
Pythagorean theorem = a² + b² = c²
shorter-leg² + longer-leg² = hypotenuse²
x² + (x+9)² = (2x - 9)² solve for x
x² + (x+9) (x+9) = (2x - 9)(2x - 9)
x² + (x²+18x+81) = (4x² - 36x + 81)
(2x²+18x+81) = (4x² - 36x + 81)
0 = 2x² -54x
0 = x(2x - 54)
0 = x and 0 = 2x -54
54 = 2x
27 = x
shorter leg = 27
longer leg = 36
hypotenuse = 45
divided all the values by 9 and you get a 3, 4, 5 right triangle, so the answer checks correct
Answer:
Option D. h(2) = 16
Step-by-step explanation:
Verify each statement
case A) h(8) = 21
The statement is false
Because
we know that
h(8)=19 -----> given value
and
If h(8) = 21 then f(x) is not a function
case B) h(13) = 18
The statement is false
Because x=13 not belong to the domain of the function
case C) h(-3) = -1
The statement is false
Because
x=-3 belong to the domain
but
h(-3)=-1 not belong to the range of the function
case D) h(2) = 16
The statement could be true
Because
x=2 ----> belong to the domain of the function
h(2)=16 ----> belong to the range of the function
