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Vilka [71]
3 years ago
13

Blake is playing a racing game on his computer. The game tracks the locations of objects using x and y coordinates (see graph be

low). Suddenly, Blake spots a shortcut that would take him straight to the finish line. How much shorter is the shortcut than the normal course?

Mathematics
2 answers:
yKpoI14uk [10]3 years ago
6 0
About 2 and 1/2 whatever units of measurement
alexgriva [62]3 years ago
4 0

Answer:

The shortcut is about 2.2 units shorter than the normal course.

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The line that contains the point Q( 1, -2) and is parallel to the line whose equation is
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Let's call this line y=mx+C, whereby 'm' will be its gradient and 'C' will be its constant.

If this line is parallel to the line you've just mentioned, it will have a gradient 2/3. We know this, because when we re-arrange the equation you've given us, we get...

y-4=\frac { 2 }{ 3 } \left( x-3 \right) \\ \\ y-4=\frac { 2 }{ 3 } x-2\\ \\ y=\frac { 2 }{ 3 } x-2+4\\ \\ y=\frac { 2 }{ 3 } x+2

So, at the moment, our parallel line looks like this...

y=(2/3)*x + C

However, you mentioned that this line passes through the point Q(1, -2). If this is the case, for the line (almost complete) above, when x=1, y=-2. With this information, we can figure out the constant of the line we want to find.

-2=(2/3)*(1) + C

Therefore:

C = - 2 - (2/3)

C = - 6/3 - 2/3

C = - 8/3

This means that the line you are looking for is:

y=(2/3)*x - (8/3)

Let's find out if this is truly the case with a handy graphing app... Well, it turns out that I'm correct.

3 0
3 years ago
Which is the direct linear variation equation for the relationship?
blondinia [14]
Thank you for posting your question here at brainly. Feel free to ask more questions.  
<span>The best and most correct answer among the choices provided by the question is C. y = 5x</span> .         <span>
<span>
Hope my answer would be a great help for you. </span> </span> <span> </span>
7 0
3 years ago
11. A boy buys four video games from the store and a frequent Gamer discount card for $10. Later that day, he
Tamiku [17]

Answer:

Total without the discount $52.50.  Total with the discount $52.

Step-by-step explanation:

First, start by adding the 2 dollar discount to the total.  Next remove the ten dollars for the Frequent Gamer card.  This brings the total of the games to $210.  Now all you have to do is divide by 4 and you have your answer.  To get the answer with the discount skip the first step.

4 0
3 years ago
Given that f(x) = 2x + 1 and g(x) = the quantity of 3x minus 1, divided by 2, solve for g(f(3)). 5 7 9 10
AlladinOne [14]

The correct answer is 10.

In order to evaluate any composite function, you need to first put the value in for the inside function. In this case f(x) is on the inside along with the number 3. So, we input 3 in for x in f(x).

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f(3) = 2(3) + 1

f(3) = 6 + 1

f(3) = 7

Now that we have the value of f(3), we can stick the answer in for the outside function, which is g(x).

g(x) = (3x - 1)/2

g(7) = (3(7) - 1)/ 2

g(7) = (21 - 1)/2

g(7) = 20/2

g(f(3)) = 10

5 0
3 years ago
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Iteru [2.4K]

Answer:

The answer is D or Triangle TUV is dilated by a scale factor of 9 and then translated 2 units right and 1 unit down to form triangle T"U"V" . I just took the test and I hope I helped : )

Step-by-step explanation:

6 0
3 years ago
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