If you have a right triangle is 10 cm² and one of the legs is 4 cm find the length of the other leg

The length of the other leg is 5cm

Step-by-step explanation:

Area of a right triangle = ½ * Base * Height.

Given:

Base = 4cm

Height (Length) = ??

Area = 10cm²

Area = ½ bh

10cm² = ½ * 4 * h

10cm² = 2h

Let's divide through by 2cm

h = 10cm² / 2cm

h = 5cm

The length of the other leg is 5cm

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

oof

step-by-step explanation: