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shutvik [7]
3 years ago
8

What are the coordinates of the vertices of the triangle under the translation (x, y) —> (x + 2, y + 3)?

Mathematics
2 answers:
tamaranim1 [39]3 years ago
8 0
For each vertex just take the x and y coordinate and apply the translation. so for the point (-3,-2) make them (-3+2, -2+3)=(-1,1) and do the same for the other two points (0,2) and (-7,3)
kotykmax [81]3 years ago
3 0

Answer:

A. (-5,6),(2,5),(-1,1)

Step-by-step explanation:

We have been given an image of a triangle on coordinate plane. We are asked to find the coordinates of vertices of the triangle under the translation (x, y) —> (x + 2, y + 3).

The given translation rule tells us to add 2 to x-coordinates and 3 to y-coordinates of each vertices of the given triangle.

The coordinates of vertices of the triangle are (-7,3), (0,2) and (-3,-2).

After adding 2 to x-coordinates and 3 to y-coordinates the new coordinates would be:

(-7,3)\rightarrow (-7+2,3+3)=(-5,6),

(0,2)\rightarrow (0+2,2+3)=(2,5)

(-3,-2)\rightarrow (-3+2,-2+3)=(-1,1)

Therefore option A is the correct choice.

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Answer:

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Option D is correct.

Step-by-step explanation:

We are given:

a=b^2c^2d \:and\: d=\frac{1}{a}

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Put value of d d=\frac{1}{a}

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3 years ago
Jess is 12 years less than half as old as Mac. The sum of their age is 87. How old is each person?
laila [671]

Answer:

The age of each person is:

  • Jess is <u>21</u> years old.
  • Mac is <u>66</u> years old.

Step-by-step explanation:

To solve this problem you must make two equations. First, we name Jess and Mac as variables:

j = Jess age.

m = Mac age.

Now we make the equations, the first equation has the information "Jess is 12 years less than half as old as Mac":

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The second equation has the information "The sum of their age is 87":

2. j+m=87

Now, we replace the first equation in the second one:

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And we operate:

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We clear the variable m:

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How we know Mac's age is 66 years old, we can identify Jess' age with the second equation:

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We replace the value of m:

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