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posledela
2 years ago
6

A triangle has a perimeter of 10a + 3b + 12 and has sides of length 3a + 8 and 5a + b what is the length of the third side ?

Mathematics
1 answer:
RideAnS [48]2 years ago
5 0

Answer:

  2a +2b +4

Step-by-step explanation:

The perimeter is the sum of the lengths of the three sides. If x represents the length of the third side, then ...

  (3a +8) +(5a +b) +x = (10a +3b +12)

Subtracting from the equation everything on the left side that is not x, we get ...

  x = (10a +3b +12) -(3a +8) -(5a +b)

  = a(10 -3 -5) +b(3 -1) +(12 -8)

  = 2a +2b +4

The length of the third side is 2a +2b +4.

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
maxonik [38]

Answer:

1) shifts f(x) 4 units down  = g(x) = 2x-10

2) stretches by factor 4    =  g(x) = 8x-24

3) shifts f(x) 4 units right   =  g(x) = 2x-14

4) compresses by factor 4 =  g(x) = 8x-6

Step-by-step explanation:

1)<em> When we have to move the function down by 4 units, subtract the whole function by -4, that is y -4.</em>

Thus, f(x) becomes  g(x) = 2x-6-(4) = 2x-10

2) <em>When the function is stretched away from x axis, it means in Y direction.</em>

<em>  Thus, when stretched 4 units in Y direction, the function becomes 4(f(x))</em>

 =  g(x) = 4(2x-6) = 8x-24

3)<em>When we have to move the function right by 4 units, replace x with (x-4) in the function.</em>

Thus, f(x) becomes  g(x) = 2(x-4)-6 = 2x-8-6 = 2x-14

4) <em>When the function is stretched towards y axis, it means in X direction.</em>

<em>  Thus, when compressed 4 units in X direction, replace the x by 4x.</em>

 =  g(x) = 2(4x)-6 = 8x-6

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3 years ago
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