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Marrrta [24]
3 years ago
14

Find the quotient: (5x3 − 2x2 + x − 4) ÷ (x − 3)

Mathematics
1 answer:
Simora [160]3 years ago
6 0
40 + 116/(-3 + x) + 13 x + 5 x^2
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Find the unit vector in the direction of (4,-4). Write your answer in component form. Do not approximate any numbers in your ans
aniked [119]

Answer:

(\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} }  )

Step-by-step explanation:

The unit vector for a nonzero vector, say u, in the direction of u is given by:

û = \frac{u}{|u|}             ---------------(i)

Where;

|u| = magnitude of vector u

From the question;

u = (4, -4)

First let's calculate the magnitude of u as follows;

|u| = \sqrt{(4)^2 + (-4)^2}

|u| = \sqrt{16 + 16}

|u| = \sqrt{32} = 4\sqrt{2}

Now, substitute u and |u| into equation (i) as follows;

û = \frac{(4, -4)}{4\sqrt{2} }

û = (\frac{4}{4\sqrt{2} }, \frac{-4}{4\sqrt{2} }  )

û = (\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} }  )

Therefore, the unit vector is (\frac{1}{\sqrt{2} }, \frac{-1}{\sqrt{2} }  )

7 0
3 years ago
Find the area of the shaded region. The gray ones with grains are the shaded regions. ​
Kobotan [32]

Answer:

1) 69.5

2) 678.6

Step-by-step explanation:

pi3^2=28.27*9=254.5    18*18=324-254.5=69.5

pi24^2=1809.6*.5=904.8 pi6^2=113.1*.5=56.55*4=226.2  904.8-226.2=678.6

6 0
3 years ago
the measure of three angles of a quadrilateral are 80,90,and 103 degrees.Find the measure of the fourth angle.
r-ruslan [8.4K]
<span>87 degrees
https://www.algebra.com/algebra/homework/Parallelograms/Parallelograms.faq.question.313985.html 
</span>
5 0
3 years ago
What is the percent increase if your salary went from $85 to $100 per week? Round your answer to the nearest percent, if necessa
slavikrds [6]
% increase  = 100 - 85
                        ---------     *  100
                          85

                  =   17.65 
                  = 18 % to nearest per cent
3 0
3 years ago
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The side of a square is x, and the area is A. Express A in terms of x. Draw the graph which shows how A depends on x.
Alexandra [31]

a=x squared or x times itself

4 0
3 years ago
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