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frosja888 [35]
2 years ago
11

on a baseball diamond, Tom, Jerry,and Mark are each standing at different corners. The distance be tween tom and Jerry is 30 fee

t. If we assume that the angle at Jerry is a right angle,what is the distance from tom to mark
Mathematics
1 answer:
Maksim231197 [3]2 years ago
6 0

9514 1404 393

Answer:

  30√2 feet ≈ 42.4 feet

Step-by-step explanation:

If the right angle is at Jerry, then Jerry is at a base location between Tom and Mark. That is, Tom and Mark are at opposite corners of the diamond. The distance from Tom to Jerry is the length of one side of the square. Its diagonal is √2 times the side length, so ...

  the distance from Tom to Mark is 30√2 feet ≈ 42.4 feet

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Answer:

d

Step-by-step explanation:

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We will also look at it's image V' which is at (-2,-1).

Let's go through the choices:

a. translation left 4 units and down 1 unit reflection x axis

Translating V left 4 and down 1 would give us (2-4,-4-1)

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Reflecting that across the x-axis would give us

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So this is not (-2,-1) so let's move on...

b. translation left 2 units and up 2 units reflection line x=1

Translating V left 2 and up 2 gives us

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Now reflecting this over x=1 gives us

(2,-2). ( Imagine this x=1 which is verical going right smack between points (0,-2) and (2,-2).)

We still did not reach our goal image.

c. translation left 2 units up and up 3 units reflection y axis

Starting at V(2,-4) and moving left 2 & up 3 gives (2-2,-4+3)=(0,-1).

Now reflecting this over the vertical axis, the y-axis, gives us (0,-1).

So we did not reach our (-2,-1) point yet.

d. translation left 2 units and 3 units reflection line x=-1.

​Starting at (2,-4) then moving left 2 and up 3 gives us (2-2,-4+3)=(0,-1).

Now we are reflecting over x=-1 which means we want to choose a point on the side making x=-1 the middle. Thuis point on the other side of (0,-1) of x=-1 would be (-2,-1) which is the goal.

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Remember, math is a language

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