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
3. 4y-3
because 1/3*12y - 1/3*9 = 4y - 3
Explanation:
The equation is already in standard form.
A is 1. The number 1 is often unwritten.
B is -3. The negative or positive sign is included with the equation.
C is -6. (If using this for the quadratic formula, c is actually 6 because the equation should equate to 0).
Answer:
11
Step-by-step explanation:
there are 11 spaces between the points
just count the number of spaces, no calculations needed.
Answer:
el numero 1
Step-by-step explanation:
