Find the area of the following shape:

19 cm²

Step-by-step explanation:

→ Work out the area of the rectangle

1 × 7 = 7

→ State the formula for the area of the triangle

0.5 × base × height

→ Find the base and height

Base = 3 and height = 8

→ Substitute values into formula

0.5 × 3 × 8 = 12

→ Add this total to the rectangle formula

12 + 7 = 19 cm²

£56

step-by-step explanation:

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.