Answer:
the volume of the solid is 
Step-by-step explanation:
Given the data in the question;
y = x and y = x²
so
x = x²
x - x² = 0
Radius will be; r = ( x - x² )/2
Area of the circular disk πr² = π[ ( x - x² )/2 ]²
A = 
( x - x² )²
So, our volume will be;
V = ₀∫¹ A(x) dx
we substitute
= ₀∫¹ ( x - x² )² dx
{ lets expand; ( x - x² )² = x(x-x²) -x²(x-x²) = x² - x³ - x³ + x⁴ = x² + x⁴ - 2x³ }
so we have;
= ₀∫¹ ( x² + x⁴ - 2x³ ) dx
= 
+ 
- 
![]^1_0](https://tex.z-dn.net/?f=%5D%5E1_0)
= [ 
+ 
- 
]
= [ 
]
V =
Therefore, the volume of the solid is
Answer:
x= 5/2w-15 .
Step-by-step explanation:
See the image below:)
Answer:
The variable titled "the number" is A: 12.
Step-by-step explanation:
The problem is 8 * (x - 6) = 4 * x
Try the first number as x and rewrite the expression.
8 * (12 - 6) = 4 * 12
Following PEMDAS (the Order of Operations), you need to solve the problem inside the parenthesis.
12 - 6 = 6
Rewrite the problem.
8 * 6 = 4 * 12
8 times 6 is 48.
4 times 12 is 48.
The variable in the expression 8 * (x - 6) = 4 * x is 12.
97/2 = 48.5
take the whole number below and above that
48 + 49 = 97
Answer:
Choice C: 
Step-by-step explanation:
To find your slope do:
that's how you get 1/2
4 is just the y-int.
