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Sladkaya [172]
2 years ago
5

I'm so lost on all my homework I've been absent do to illness someone plz help me with this page

Mathematics
1 answer:
inysia [295]2 years ago
7 0
3: Answer is 18 loaves
4: Answer is 8 loaves
5: Answer is 6 watermelons
6: Answer is 20 walls
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Find the dot product of the position vectors whose terminal points are (14, 9) and (3, 6).
erma4kov [3.2K]

Answer:

Step-by-step explanation:

The formula for the dot product of vectors is

u·v = |u||v|cosθ

where |u| and |v| are the magnitudes (lengths) of the vectors. The formula for that is the same as Pythagorean's Theorem.

|u|=\sqrt{14^2+9^2} which is \sqrt{277}

|v|=\sqrt{3^2+6^2} which is \sqrt{45}

I am assuming by looking at the above that you can determine where the numbers under the square root signs came from. It's pretty apparent.

We also need the angle, which of course has its own formula.

cos\theta=\frac{uv}{|u||v|} where uv has ITS own formula:

uv = (14 * 3) + (9 * 6) which is taking the numbers in the i positions in the first set of parenthesis and adding their product to the product of the numbers in the j positions.

uv = 96.

To get the denominator, multiply the lengths of the vectors together. Then take the inverse cosine of the whole mess:

cos^{-1}\theta=\frac{96}{111.64676} which returns an angle measure of 30.7. Plugging that all into the dot product formula:

u*v=\sqrt{277}*\sqrt{45}cos(30.7) gives you a dot product of 96

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The concept of hope is nothing more than giving up. A word that holds no true meaning.
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Answer:

-6/2 = Slope = - 3

Step-by-step explanation: Hope this helps!

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Factor completely
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Answer:

B)

B)

D)

Step-by-step explanation:

1. 7x^3y+14x^2y^3-7x^2y^2

The GCF of all the term of the above polynomial is 7x^2y , hence we take it outside and form a bracket

7x^2y(x+2y^2-y)

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer

2. 5x(x+3)+6(x+3)

The GCF of all the term of the above polynomial is (x+3) , hence we take it outside and form a bracket

(x+3)(5x+6)

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer

3. 8x^5+2x^4+4x^2

The GCF of all the term of the above polynomial is 2x^2 , hence we take it outside and form a bracket

2x^2(4x^3+x^2+2)

The polynomial within the bracket can not be factorized further hence this is our final answer. Option (D) is the right answer

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