Answer:
4/8 and 4/10
Step-by-step explanation:
Required
Select which option is equivalent to 1/2 and 2/5
Option (a): 5/10 and 4/8
Simplify 5/10
Simplify 4/8
This is not true
Option (b): 1/3 and 4/12
1/3 is not equivalent to 1/2 or 2/5.
So, this is not true
Option (c): 4/12 and 5/10
Simplify 4/12
1/3 is not equivalent to 1/2 or 2/5.
So, this is not true
Option (d): 4/8 and 4/10
Simplify 4/8
Simplify 4/10
Hence, (d) is true
Answer:
0
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 7-7)/(5-8)
= 0/-3
= 0
Answer:
∫₂³ √(1 + 64y²) dy
Step-by-step explanation:
∫ₐᵇ f(y) dy is an integral with respect to y, so the limits of integration are going to be the y coordinates. a = 2 and b = 3.
Arc length ds is:
ds = √(1 + (dy/dx)²) dx
ds = √(1 + (dx/dy)²) dy
Since we want the integral to be in terms of dy, we need to use the second one.
ds = √(1 + (8y)²) dy
ds = √(1 + 64y²) dy
Therefore, the arc length is:
∫₂³ √(1 + 64y²) dy
There you go good luck !!!
