Find the midpoint of the segment with the following endpoints. (6, 4) and (9, 1)
1 answer:
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Answer:
(-21, 16)
Step-by-step explanation:
A is at (-33, 0) and B is at (0, 44),
A point that divides the line segment in a ratio of 4:7 also divides the differences of the x-and y-coordinates in the same ratio.
If we divide each distance into 11 equal parts and choose a length 4/11 of the distance, the other part will be 7/11 of the distance. The two parts will be in a ratio of 4:7.
For the x-coordinate,
x₂ - x₁ = 0 - (-33) = 0 + 33 = 33
(4/11) × 33 = 12
-33 + 12 = -21
The x-coordinate of M is (-21, 0).
For the y-coordinate,
y₂ - y₁ = 44 - 0 = 44
(4/11) × 44 = 16
0 + 16 = 16
The y-coordinate of M is (0, 16).
The coordinates of M are then (-21, 16).
The diagram below shows the point M that divides AB in a 4/7 ratio.
The cost of one adult ticket is $7.5 and one child ticket is $3.5
Julia will pay $48 for 5 adult tickets and 3 child tickets.
Step-by-step explanation:
Let,
Cost of one adult ticket = x
Cost of one child ticket = y
According to given statement;
3x+5y=40 Eqn 1
x+5y=25 Eqn 2
Subtracting Eqn 2 from Eqn 1
Dividing both sides by 2
Putting x=2.5 in Eqn 1
Dividing both sides by 5
The cost of one adult ticket is $7.5 and one child ticket is $3.5
5 adult tickets = 5*7.5 = $37.5
3 child tickets = 3*3.5 = $10.5
Total = 37.5+10.5 =$48
Julia will pay $48 for 5 adult tickets and 3 child tickets.
Keywords: linear equation, subtraction
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