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Aleks04 [339]
3 years ago
9

What are the factors of x2 - 12x + 36?

Mathematics
1 answer:
Fantom [35]3 years ago
3 0

Answer:

(x-6) (x-6) or (x-6)^2

Step-by-step explanation:

1.) Find factors of 36 that add up to 12

2.) 6 which makes this a perfect square

3.) you know to subtract because the middle term is negative and the third term is positive (two negatives make a positive)

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2.7 x 5-6

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What is the projection of (4,4) onto (3,1)?
Ostrovityanka [42]
Let's define the vectors:
 U = (4.4)
 V = (3.1)
 The projection of U into V is proportional to V
 The way to calculate it is the following:
 Proy v U = [(U.V) / | V | ^ 2] V
 Where U.V is the point product of the vectors, | V | ^ 2 is the magnitude of the vector V squared and all that operation by V which is the vector.
 We have then:
 U.V Product:
 U.V = (4,4) * (3,1)
 U.V = 4 * 3 + 4 * 1
 U.V = 12 + 4
 U.V = 16
 Magnitude of vector V:
 lVl = root ((3) ^ 2 + (1) ^ 2)
 lVl = root (9 + 1)
 lVl = root (10)
 Substituting in the formula we have:
 Proy v U = [(16) / (root (10)) ^ 2] (3, 1)
 Proy v U = [16/10] (3, 1)
 Proy v U = [1.6] (3, 1)
 Proy v U = [1.6] (3, 1)
 Proy v U = (4.8, 1.6)

 Answer:
 the projection of (4,4) onto (3,1) is:
 Proy v U = (4.8, 1.6)
6 0
3 years ago
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