Answer:
The answer should be C) 4x + 5x = 180
Step-by-step explanation:
To solve for a variable, you need to get it (x) by itself.
2x² - 4x + 5 = 6 Subtract 6 from both sides
2x² - 4x - 1 = 0 Plug this into the Quadratic Formula
a = 2 , b = -4 , c = -1
x =

Plug in your values
x =

Simplify
x =

Simplify
x =

Simplify by removing a 2 from every term
x =

Simplify by taking the fraction apart
x =

Change

to 1
x = 1

Simplify

to
x = 1
If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.
So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.
This means that the perimeter is
feet long. But we know that this is 510 feet, so we have
.
So, the three sides are 110, 160 and 240 feet long.
To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if
is half the perimeter of the triangle whose sides are
, the area
is given by

In our case,
so the formula becomes

Answer:
3 / 4
Step-by-step explanation:
We can realize that both the numerator and denominator have a common factor of 9. We can divide them both by 9 to get:
3 / 4
This fraction is in simplest form.