Given:
A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13.
To find:
The total surface area of the prism.
Solution:
We have,
Height of prism = 7½ = 7.5
Sides of triangular base are 5, 12, 13. These sides of Pythagorean triplets because



So, the base of the prism is a right triangle.
Area of a triangle is



The area of the base is equal to the area of the top, i.e.,
sq units.
Perimeter of the base is


The curved surface area of the prism is



Now, the total area of the prism is



Therefore, the total surface area of the triangular prism is 285 square units.
-45+18x is the answer
Hope this helped <3
Answer:
x+2
Step-by-step explanation:
we know that
To find out the factors of a polynomial, determine the x-intercepts or zeros of the polynomial
Remember that
The x-intercepts of a polynomial are the values of x when the value of the polynomial is equal to zero
In this problem
Looking at the graph
For x=-2, f(x)=0
so
x=-2 is an x-intercept or zero of the polynomial
To find out the factor move the constant to the left side and equate to zero

adds 2 both sides

therefore
The factor is (x+2)
Slope intercept form is y = mx + b.
To convert 2x + y = 10 to slope intercept form, solve for y.
2x + y = 10
y = -2x + 10