Answer:
p = 4
Step-by-step explanation:
Given equation:
<u>Standard equation of a circle:</u>
(where 
is the centre of the circle, and 
is the radius)
If you expand this equation, you will see that the coefficient of 
is always one.
Therefore, 
<u>Additional information</u>
To rewrite the given equation in the standard form:
So this is a circle with centre (2, -3) and radius √29
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
9514 1404 393
Answer:
see attached for a graph
x = 0.5 when y = 1
Step-by-step explanation:
The graph has a y-intercept of -1, which is halfway between 0 and -2. It goes up 4 units (2 vertical grid spaces) for 1 unit to the right (1 horizontal grid space). It seems to cross y = 1 at about x = 1/2.
x = 1/2 when y = 1.
Answer:
The length of AB = 17
Step-by-step explanation:
AB = √[(10-2)^2 + (4-19)^2]
AB = √(64 + 225)
AB = √289
AB = 17
Hey there!
<span>The numerator is the top part of the fraction and the
denominator is the bottom part of the fraction. </span>
For example, in the fraction 
, 1 would be the numerator and 2 would be the denominator.
Thank you!
