Step-by-step explanation:
The only way the answer could be E is if the x² term under the radical is supposed to be t².
f(x) = ∫₄²ˣ √(t² − t) dt
f'(x) = √((2x)² − 2x) (2)
f'(x) = 2√(4x² − 2x)
f'(2) = 2√(4(2)² − 2(2))
f'(2) = 2√12
Answer:
(0,50)
Step-by-step explanation:
Given the total cost of a dancers lesson modeled by the equation y = 25x + 50, the y intercept occurs at the point where x = 0.
Substitute x = 0 into the expression
y = 25x + 50
y = 25(0) + 50
y = 0+50
y = 50
Hence the y intercept is (0, 50). This shows that the total cost of the dancers lesson registration fee is 50
Answer:
C) ∠3 and ∠6 is the CORRECT OPTION.
Step-by-step explanation:
Here, the image is UNATTACHED. Attaching image here for the reference.
Given: JL and MP are parallel.
Alternate Interior angles is a pair of angles formed when there is a common intersecting line between two parallel lines.
As JL and MP are parallel.
and KN is a traversal. So, the pair of Alternate Interior angles so formed are:
a) ∠3 and ∠6
b) ∠4 and ∠5
Now, out of the given options:
A. ∠3 and ∠4 is a LINEAR PAIR
B. ∠1 and ∠6 makes no pair
C. ∠3 and ∠ 6 is a Alternate Interior angles pair
D. ∠5 and ∠6 LINEAR PAIR
Hence, ∠3 and ∠ 6 is a Alternate Interior angles pair.