Need with finding the area of this prism

Step-by-step explanation:

Look at the picture.

Use the Pythagorean theorem:

                subtract 9 from both sides

The Surface Area:

we have two congruent right triangles and three rectangles

The area of a right triangle:

The areas of the rectangles:

The Surface Area:

Surface area = 96 cm²

Step-by-step explanation:

From the figure we can see that, a prism

To find the height of triangles

Height²= Hypotenuse² - Base 2 = 5² - 3² = 16

Height = 4

To find the surface area

Surface area = Area of two triangles + Area of 2 side face + Area of base

Area of triangles

Area = bh/2 = (3 * 4)/2 = 6 cm²

Area of 2 triangles = 2 * 6 = 12 cm²

Area of side face

Area first face = 7 * 3 = 21 cm ²

Area of second face  = 7 * 4 = 28 cm ²

Total area of side face = 21 + 28 = 49 cm²

Area of base

Area of base = 7 * 5 = 35 cm²

Total surface area = 12 + 49 + 35  = 96 cm²

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

a is the right answer