A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.

29m²

Step-by-step explanation:

This shape contains 2 shapes that we are familiar with, a triangle and a square. We need to know how to work out the area of a triangle and a rectangle so

→ Area of a rectangle = Length × Width

→ Area of a triangle = 0.5 × Base × Height

In this question we are asked to find the area of shaded region so the first step would be to work out the area of rectangle. Then work out the area of the triangle. Finally minus the 2 answers from each other.

→ First step would be to work out the area of rectangle

Area of a rectangle = Length × Width

Area of a rectangle = 7 × 5 = 35m²

→ Then work out the area of the triangle.

Area of a triangle = 0.5 × Base × Height

Area of a triangle = 0.5 × 4 × 3

Area of a triangle = 6m²

→ Finally minus the 2 answers from each other

35m² - 6m² = 29m²

The area of the shaded region is 29m²

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.