The mid-point for given endpoints is (4,3)
Step-by-step explanation:
a mid-point is the point on a line segment that divides it into two equal portions.
If (x1,y1) and (x2,y2) are the coordinates of vertices of a line segment, then mid-point is given by:

given
(x1,y1) = (9,9)
(x2,y2) = (-1,-3)

The mid-point for given endpoints is (4,3)
Keywords: Coordinate Geometry, Mid-point
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Step-by-step explanation:
Let a be the price of 1 adult ticket.
Let c be the price of 1 child ticket.
given,

as equation 1,
and

as equation 2.
Now we will solve for a and c using elimination method of simultaneous equations.
Now we multiply equation 2 by 2 to eliminate a and solve for c.

This new equation will be equation 3.
Now we will use equation 1 - equation 3 to eliminate a and solve for c.

Now substitute c into equation 2.

Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.
There are many ways to do this.
One way could be 0.25x+7.00=27
Answer:
What is the simplified form of this expression?
7a2 + 10a − 3a − 2a2
Step-by-step explanation:
7a2 + 10a − 3a − 2a2
Combine like terms
742 + 10a - 3a - 2a2
742 + 7a - 2a2
solution=
5a2 + 7a