We can see that

The given points are on same line.
Further explanation:
There are two methods to find if the given points are on same line
- The slope method: If the points are on same line the slopes of two pairs of points will be same
- Area of triangle method
Given points are:
A(1,3) B(4,2) C(-2,4)
We will find the slope of AB, BC, and AC
So,




We can see that

The given points are on same line.
Keywords: Slope, Co linear points
Learn more about slope at:
#LearnwithBrainly
Answer:
Children ticket cost $30 and adult ticket costs $40.
Step-by-step explanation:
Given that:
x = price of a child ticket
y = price of an adult ticket
According to given statement;
3x+2y=170 Eqn 1
4x+6y=360 Eqn 2
Multiplying Eqn 1 by 3
3(3x+2y=170)
9x+6y=510 Eqn 3
Subtracting Eqn 2 from Eqn 3
(9x+6y)-(4x+6y)=510-360
9x+6y-4x-6y=150
5x=150
Dividing both sides by 5

Putting x=30 in Eqn 1
3(30)+2y=170
90+2y=170
2y = 170-90
2y = 80
Dividing both sides by 2

Hence,
Children ticket cost $30 and adult ticket costs $40.
Answer:
Step-by-step explanation:
There are no categorical antonyms for eleven. The numeral eleven is defined as: The cardinal number occurring after ten and before twelve.
Answer:
(a) Reflection across the y-axis, followed by translation 10 units down
Step-by-step explanation:
Figure 2 is not a reflection across the origin of Figure 1, so neither of the double reflections will map one to the other.
Reflection across the y-axis will put the bottom point at (5, 3). The bottom point on Figure 2 is at (5, -7), so has been translated down by 3-(-7) = 10 units.
Figure 1 is mapped to Figure 2 by reflection over the y-axis and translation down 10 units.