Answer:
82 inches
Step-by-step explanation:
The difference between consecutive even integers is 2, thus
let the legs be n and n + 2
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
n² + (n + 2)² = 58² ← expand and simplify left side
n² + n² + 4n + 4 = 3364 ( subtract 3364 from both sides )
2n² + 4n - 3360 = 0 ( divide all terms by 2 )
n² + 2n - 1680 = 0 ← in standard form
(n + 42)(n - 40) = 0 ← in factored form
Equate each factor to zero and solve for n
n + 42 = 0 ⇒ n = - 42
n - 40 = 0 ⇒ n = 40
But n > 0 ⇒ n = 40
and n + 2 = 40 + 2 = 42
Thus sum of legs = 40 + 42 = 82 inches
Answer: -4
Step-by-step:
-x^2+5x-1 x _ = 4x^2-20x+4
4x^2-20x+4 / -x^2+5x-1
In the blank the answer would be -4 which is the monomial.
A
The y-intercept is y=3
Any number to the ^0 = 1. Because the y-intercept is 3, that means it was multiplied by 3 to get that y value, which is why a is correct.
23.25 just cut the cost of the example in half