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navik [9.2K]
3 years ago
8

Ben is 12 years older than Ishaan. Ben and Ishaan first met two years ago. Three years ago, Ben was 4 times as old as Ishaan.

Mathematics
2 answers:
astra-53 [7]3 years ago
8 0
12 + x = 4x ,, x = 4 ,,12 + 4 + 3 = 19
bixtya [17]3 years ago
5 0
So, the 2 equations would be.... B -12 = I   and    (B - 3) = 4(I - 3)  the second sentence is irrelevant.
B - 3 = 4 (I) - 12
B - 3 = 4B - 48 - 12
B - 4B = -60 + 3
-3B = -57
B (Ben) = 19
Ishaan is 7

Hope this helps!
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Antoinette solves the linear equation 3(x-3)+2x+9 = 2X+ 2(x-1) using the steps shown below.
taurus [48]

Answer:

Antoinette's error

Option A) She distributed incorrectly.

Step-by-step explanation:

We are given the following information in the question:

Antoinette solves the linear equation

3(x-3)+2x+9 = 2x+ 2(x-1)

Antoinette made mistake in step 1 that is she did not distributed correctly.

If she would have distributed correctly, then she would have got the following solution:

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Substituting x = -1 in the given equation, we gwt:

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balandron [24]

Answer:

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Explanation:

By inspection (watching the figure), you can tell that to transform the triangle XY onto triangle X"Y"Z", you must slide the former 5 units to the left, 1 unit down, and, finally, reflect it across the x-axys.

You can check that analitically

Departing from the triangle: XYZ

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  • Vertex X: (-6,2) → (-6 - 5, 2) = (-11,2)
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  • <u>Translation 1 unit down</u>: (x,y) → (x, y-1)

  • (-11,2) → (-11, 2 - 1) = (-11, 1)
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  • (-7, 2) → (-7, 2 - 1) = (-7, 1)

  • <u>Reflextion accross the x-axis</u>: (x,y) → (x, -y)

  • (-11, 1) → (-11, -1), which are the coordinates of vertex X"
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Thus, in conclusion, it is proved that the sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.

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