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
So maybe it’s 5, it’s equivalent to the side with 6, just shorter
Subtract $15.98, $7.99, $0.50, and 3.59 from $40.00
The error that Loren made is C. She should have solved 149 = StartFraction 19 Over 9 EndFraction (10) + b for b.
<h3>What is an equation?</h3>
It should be noted that an equation is a statement that shows that two mathematical expressions are equal.
In this case, for Loren to find the slope, this will be:
m = y2 - y1/x2 - x1
= (149 - 130)/(10 - 1)
= 19/9
In this case, the error that Loren made is that she should have solved 149 = StartFraction 19 Over 9 EndFraction (10) + b for b.
Learn more about equations on:
brainly.com/question/13763238
#SPJ1
Answer:
-18
Step-by-step explanation:
