A triangular prism is 19 yards long and has a triangular face with a base of 18 yards and a height of 12 yards. The other two sides of the triangle are each 15 yards. What is the surface area of the triangular prism?

1128 Yard²

Step-by-step explanation:

From the question,

The surface area of a triangular prism is

A = bh+H(a+b+c) Equation 1

Where a = First side of the triangular face, b = base of the triangular face, c = the other side of the triangular face, H = heigth of the prism, h = height of the triangular face

Given: a = 15 yard, b = 18 yards, c = 15 yards, h = 12 yards, H = 19 yards.

Substitute these values into equation 1

A = (18×12)+ 19(15+15+18)

A = 216+19(48)

A = 216+912

A = 1128 Yard²

Hence the surface area of the triangular prism is 1128 yard²

Ok, logic
all of them are parabolas

1st and 3rd are opening up, so they defenitely increase, so no

decraseing
the vertex hs to be be at x=-4
y=a(x-h)^2+k
h has to be -4
y=a(x+4)^2+k
the answer is 2nd one or f(x)=-(x+4)^2+4