In the triangle shown, AC=BC and AB=4√2 how long are each of the legs

Is the answer 4? Or am I doing something wrong.

If we're to assume this is a right triangle, we can plug these numbers into the pythagorean theorem.

x^2 + x^2 = (4sqrt(2))^2

2x^2 = 32. Divide each side by 2.

x^2 = 16. Take the square root of each side.

x = 4, -4. But side lengths cannot be negative so,

x = 4.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form