The legs of the right triangle are 8 and 12cm. what is the length of the hypotenuse

The square root of 208 cm or approximately 14.4 cm

Step-by-step explanation:

There is formula called the Pythagorean theorem and it is a^2 + b^2 = c^2

Where a is equal to height and b is equal to the base.

To put the numbers into the formula:

12^2 + 8^2 = c^2

144 + 64 = c^2

208 = c^2

sqrt (208) cm = c

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