What is the surface area of the figure?

0.6625 in²

Step-by-step explanation:

The surface area of this figure will be the area of the base added to area of the triangles

Area of the 4 triangles

Area of a triangle is given by ;

where b is the base length and h is the height of the triangle

Area of 1 triangle

Given base length as 0.25 inches and height is 1.2 inches.

Area of all 4 triangles

- multiply the area of one triangle by 4

- 0.15*4=0.6 in²

Area of the base

The base is a square of length 0.25 inches

Area of a square=length×length

Total surface area

Total surface area= Area of the triangles + Area of the base

its 0.1 miles per minute

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this