Same as last time:
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(6--1)^2+(-2-4)^2
d^2=7^2+(-6)^2
d^2=49+36
d^2=85
d=√85 (85=5*7 and both 5 and 7 are prime so √85 cannot be simplified any further)
The exact distance is √85 units.
Answer:
First Option
Step-by-step explanation:
First, we will find the equation for the total cost of the tickets.
Given x = Cost of 1 adult ticket
y = Cost of 1 Child ticket
Total Cost of tickets at $40:
2x + 4y = 40
To find which graph represent the cost of the tickets,
we can substitute x = 0 to find y and vice-versa.
If x = 0 ,

So when x = 0 , y = 10 which gives the coordinates (0,10).
Now if y = 0,

So when y = 0 , x = 20 which gives the coordinates (20,0)
This shows that this particular line passes through these 2 points and therefore the answer is the first option.
Answer:
3
Step-by-step explanation:
S is a point on line segment RT.
So RS+ST=RT.
(7y-1)+(y+5)=28
Combine like terms:
8y+4=28
Subtract 4 on both sides:
8y=24
Divide both sides by 8:
y=3
Going from y = x^2 to y = (x-6)^2 has the graph shifted 6 units to the right
The replacement of "x" with "x-6" shifts the xy axis 6 units to the left. All new inputs are 6 units smaller than before. If you shift the xy axis 6 units to the left and keep the parabola still, then it gives the illusion the parabola moved 6 units to the right.