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3 years ago

9 – 2k = 25 what is k

Mathematics

2 answers:

worty [1.4K]3 years ago

8 0

Answer:

k = - 8

Step-by-step explanation:

Subtract 9 from both sides to get the constants on one side and the variables on the other

9 - 2k = 25

- 2k = 25 - 9

Simplify

- 2k = 16

Divide by -2 on both sides to isolate the variable, then simplify once more.

- 2k/ -2 = 16/ -2

k = 16/ -2

k = -8

Gnom [1K]3 years ago

7 0

Answer:

k = -8

Step-by-step explanation:

9 – 2k = 25

- 2k = 25 - 9

-2k = 16

k = 16 / -2

k = -8

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Lorico [155]

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3 years ago

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

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3 years ago

Does anybody know how to do this?

s344n2d4d5 [400]

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3 years ago

FRACTIONS

Vladimir79 [104]

The complete fraction is 24/30=4/5

<h3>How to create an equivalent fraction?</h3>

The expression is given as:

blank over 30=4/5

Represent the blank with x.

So, we have:

x/30=4/5

Multiply both sides by 30

x = 30 * 4/5

Evaluate

x = 24

Substitute x = 24 in x/30=4/5

24/30=4/5

Hence, the complete fraction is 24/30=4/5