Answer:
Yes lines are intersecting, point of intersection is <4,2,0>.
Step-by-step explanation:
Given parametric equations of line are:


If lines are intersecting then parametric coordinates of (1) are equal to (2)

Considering A and B to find values of t and s
From A
t=4s-3---(D)
Putting in (B)
2(4s-3)=1+s
8s-6=1+s
7s=7
s=1
Then
t=4-3
t=1
If lines are intersecting then these values of s and t must satisfy (C)
2-2(1)=1-1
0=0
This shows lines are intersecting.
At this value of t, (1) becomes

Putting s=1 in (2)

Point of intersection is <4,2,0>.
<span>A decreasing
B increasing
C stay the same
D </span>decreasing
Answer is B.
Answer:
<u>A≈301.44</u>
Step-by-step explanation:
The area of a cylinder is A=2πrh+2πr^2
You first do the first problem of the equation (A=2πrh)
You fill in the radius and height ( A=2π(4)(8) )
You first multiply 4 x 8 = 32. ( A=2π(32) )
Then you multiply 2 x 32 = 64. ( A=π(64) )
Then you multiply π x 64 (using 3.14 for π) = 200.96 m^2
You then do the second part of the equation. (A=2πr^2)
You fill in the radius. (A=2π(4)^2)
Then multiply 4 x 4 = 16 (because it's to the power of 2 [4 times itself twice]) and then multiply it by 2.
16 x 2 = 32. ( A=π(32) )
Next you just multiply 32 x π (using 3.14 for π again) = 100.48 m^2.
Then you just add them together:
200.96 m^2 + 100.48 m^2 = 301.44 m^2
So <u>301.44 m^2</u> is your answer.
(I hopefully think it is.)
Answer:
F because you cannot prove that any of the angles are the same with only one set of parallel lines