<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
A rectangle is a quadrilateral whose angles are all right angles. In this problem, we have a rectangle whose height 
and whose area is 
. We don't know the other side of the rectangle, but let's call it 
. So the area of a rectangle is:
The perimeter is the distance around a shape in two dimensions. For our rectangle, our perimeter is:
So our goal is to find . From the equation of the area:
If we substitute both this value and the height in the equation of the perimeter we get:
The area of the two triangular bases is
(total base area) = 2×(1/2)bh
= bh
= (10 m)(6 m) = 10·6 m² = 60 m²
The area of the three rectangles making up the remaining faces of the prism is
(total lateral area) = length×base + length×height + length×hypotenuse
= length×(base + height + hypotenuse)
= (16 m)(10 m + 6 m + 11.6 m)
= (16 m)(27.6 m) = 16·27.6 m² = 441.6 m²
Then the surface area of the prism is the sum of these
surface area = total base area + total lateral area
= 60 m² + 441.6² = 501.6 m²
When rounded to the nearest whole number, this is
A) 502 m²
Answer:
f(x)-g(x)=5x^3-17x^2+4 which appears as option A
Step-by-step explanation:
Simply subtract the function's expressions as shown below, and combine like terms to express the final result:
![f(x)=7x^3-10x^2-5\\g(x)=2x^3+7x^2-9\\f(x)-g(x)=7x^3-10x^2-5-[2x^3+7x^2-9]\\f(x)-g(x)=7x^3-10x^2-5-2x^3-7x^2+9\\f(x)-g(x)=7x^3-2x^3-10x^2-7x^2-5+9\\f(x)-g(x)=5x^3-17x^2+4](https://tex.z-dn.net/?f=f%28x%29%3D7x%5E3-10x%5E2-5%5C%5Cg%28x%29%3D2x%5E3%2B7x%5E2-9%5C%5Cf%28x%29-g%28x%29%3D7x%5E3-10x%5E2-5-%5B2x%5E3%2B7x%5E2-9%5D%5C%5Cf%28x%29-g%28x%29%3D7x%5E3-10x%5E2-5-2x%5E3-7x%5E2%2B9%5C%5Cf%28x%29-g%28x%29%3D7x%5E3-2x%5E3-10x%5E2-7x%5E2-5%2B9%5C%5Cf%28x%29-g%28x%29%3D5x%5E3-17x%5E2%2B4)
Answer:
B; 3/4
Step-by-step explanation:
slope = rise / run
the line goes up, so it is a positive slope. it goes up 3 points, and goes right 4 points.
