Answer:
c
Step-by-step explanation:
1. Change x = 4t into x = 3t
so
Answer A and D are wrong.
2. Change x = 4t into x = 2t
and
Answer b is correct.
3. Change x = 4t into x = 8t
and
Answer C. is correct, E. is wrong.
THis is a cool question.
1) Use the point slope form to find the equation of the lines between two of the points (choose two points that when a line is drawn between them make a chord on the circle).
2) Use the midpoint of a line equation to find the midpoint of the line, then find the slope of the line that is perpendicular at that point and write an equation for it.
3) Then do the same thing for the other two points that form a chord on the circle.
4) Then set the two equations equal to each other and solve. The point where they meet is the circumcenter.
Answer:
The Answer is that Senior Citizen Tickets cost: $4 and Child tickets cost: $7.
Step-by-step explanation:
Let s = the cost of senior citizen tickets
Let c = the cost of child tickets
The number of tickets sold for each type added together equals the sales for each day. Equations below:
Day 1
3s + 9c = $75
Solve for s:
3s = 75 - 9c
s = 25 - 3c
Day 2
8s + 5c = $67
By substitution:
8(25 - 3c) + 5c = 67
200 - 24c + 5c = 67
-19c = -133
c = -133 / -19 = $7 cost for child tickets.
Solve for s:
s = 25 - 3c
s = 25 - 3(7)
s = 25 - 21 = $4 cost for senior citizen tickets.
Proofs:
Day 1
3s + 9c = $75
3(4) + 9(7) = 75
12 + 63 = 75
75 = 75
Day 2
8s + 5c = $67
8(4) + 5(7) = 67
32 + 35 = 67
67 = 67
Answer:
Plane SPT and Plane SPV
Step-by-step explanation:
A plane is defined by the set of three points lying on the same (two dimensional) surface.
A plane 'R' has been given in the picture.
Points lying on this plane or surface are S, P, T and V.
Therefore, possible names may be,
SPT, STV, SPV, PTV
From the given options names of the plane R will be,
Plane SPT and Plane SPV,
