Answer: 7 π r² + π r³
Explanation:
1) The general formula for the volumen, V, of a cylinder with radius r and height h is:
V = π r² h
2) Now you have the condition that the height is 7 inches greater than the radius, that is:
h = 7 + r
3) Replace h with its expression
V = π r² (7 + r)
4) Expand the product (use distributive property):
V = π (7r²) + π r³ = 7 π r² + π r³
Answer: 7 π r² + π r³
Question 1. It is graph 3 since the y-intercept in the equation is -2 and the y-intercept on the graph 3 is -2. It is also a quadratic function.
Question 2. It is graph two because the equation listed represents a quadratic function that is positive (graph opens up).
Question 3. It is graph 4 since the y-intercept is 2 and the only graph with that intercept is graph 4. Also, the equation represents a linear function.
Hope this helped :))
Answer:
B.) 2(5x-4)(x+1)
Step-by-step explanation:
10x^2+2x-8
= 2(5x^2 + x - 4)
= 2(5x^2 + 5x - 4x - 4)
= 2[5x(x + 1) - 4(x + 1)]
= 2(5x-4)(x+1)
I think it means to split a shape into common shapes. I.e. splitting a house shape into a triangle and a square