<h3>
Answer: 4</h3>
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Explanation:
We can pick any (x,y) point on this blue line as long as we don't pick (0,0)
This is because we cannot divide by zero.
Let's say we pick the point (x,y) = (1,4)
The constant of proportionality is found like so
k = y/x
k = 4/1
k = 4
The constant of proportionality is 4
Or we could pick a point like (2,8) to get
k = y/x
k = 8/2
k = 4
We get the same thing.
There are infinitely many points to pick, but in my opinion, it's easiest to stick with (1,4).
As a slight alternative, you can apply the slope formula (pick any two points you want on the blue line) and you should get 4 as well.
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Extra info:
- The direct proportion equation always goes through the origin. This means the y intercept is 0.
- The slope is equal to the constant of proportionality.
- The equation of this line is y = 4x
D(P,Q)=√((-9.25+4)²+(-7.5-5)²)=√(27.5625+156.25)=13.6
The distance between P and Q is 13.6
Answer:
See attached diagram
Step-by-step explanation:
Given quadrilateral has vertices at points A(-8,4), B(4,-4), C(0,-8) and D(-4,-4).
A dilation with a scale factor of and a center of dilation (0,0) has a rule
Then
- A(-8,4)→E(-6,3);
- B(4,-4)→F(3,-3);
- C(0,-8)→G(0,-6);
- D(-4,-4)→H(-3,-3).
See attached diagram for details.
Remark: If a scale factor is 34, then the rule is (x,y)→(34x,34y) and image vertices have coordinates (-272,136), (136,-136), (0,-272), (-136,-136).
C=8a
c=a+147
8a=a+147
7a=147
a=147/7
a=21 Adult Tickets
c=8a=8 (21)= 168 Children Tickets
Total Tickets = 21+168=189 Tickets is your answer
The first and third one make the most sense