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3 years ago

5(n+1) = 2n + 20 can someone tell me the answer and explain

Mathematics

2 answers:

finlep [7]3 years ago

8 0

Answer:

n=15

Step-by-step explanation:

5(n+1)=2n+20

U start by expanding the first term which will give you 5n+5

Then after that u collect like terms giving u

5n-2n=20-5

Finally u evaluate it giving u

n=15

Tomtit [17]3 years ago

4 0

First we have to expand 5(n + 1)
Meaning we have to multiply everything in the bracket by 5. That would mean 5n + 5.

Now we have 5n + 5 = 2n +20

Subtract 2n from both sides to get rid of the 2n on the right

So you will have 3n + 5 = 20

Now subtract 5 from both sides to get rid of the 5 on the left.

So you will have 3n = 15

Divide both sides by 3 to get n = 5

Answer is n = 5

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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

6 0

3 years ago

Hey there .. Plz help me solve this .

Ivahew [28]

Answer:

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7 0

3 years ago

Please find the measure of the exterior angle

makvit [3.9K]

Answer:

exterior angles:

144°and 36°

126° and 54°

90° and 90°

Step-by-step explanation:

we know that each angle in a triangle adds up to 180°.

so,

2x+3x+5x=180

10x=180

x=180/10

x=18

the interior angles are:

2x=36°

3x=54°

5x=90°

and explanation is provided to find the exterior angles above.(sorry for the bad handwriting)

6 0

3 years ago

What is four over nine equal A over 45

QveST [7]

Answer: A = 20

How to Solve:

Just by looking at this problem I can tell that the denominators (9 an 45) are factors of 9. So the second equation is multiplied by 5 from the first equation.

4/9 x 5

4 x 5 = 20
— -—
9 x 5 = 45

So A would be 20.

Another way to solve this would be by multiplying the 1st equations numerator with the second equations denominator:

4 x 45 = 180

Then divide 180 with the 1st equation’s denominator.

180 / 9 = 20

A = 20

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3 years ago

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Bas_tet [7]

Step-by-step explanation:

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3 years ago