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MrRa [10]
3 years ago
13

What is the definition of Slope​

Mathematics
2 answers:
jeka943 years ago
5 0

Answer:

y/x

Step-by-step explanation:

rise over run

icang [17]3 years ago
4 0

Answer:

Slope is the 'steepness' of the line, also commonly known as rise over run (y/x)

Step-by-step explanation:

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Find the angle between the given vectors. Round your answer, in degrees, to two decimal places. u=⟨2,−6⟩u=⟨2,−6⟩, v=⟨4,−7⟩
NISA [10]

Answer:

\theta = 108.29

Step-by-step explanation:

Given

u =

v =

Required:

Calculate the angle between u and v

The angle \theta is calculated as thus:

cos\theta = \frac{u.v}{|u|.|v|}

For a vector

A =

A = a * b

cos\theta = \frac{u.v}{|u|.|v|} becomes

cos\theta = \frac{.}{|u|.|v|}

cos\theta = \frac{2*6+4*-7}{|u|.|v|}

cos\theta = \frac{12-28}{|u|.|v|}

cos\theta = \frac{-16}{|u|.|v|}

For a vector

A =

|A| = \sqrt{a^2 + b^2}

So;

|u| = \sqrt{2^2 + 6^2}

|u| = \sqrt{4 + 36}

|u| = \sqrt{40}

|v| = \sqrt{4^2+(-7)^2}

|v| = \sqrt{16+49}

|v| = \sqrt{65}

So:

cos\theta = \frac{-16}{|u|.|v|}

cos\theta = \frac{-16}{\sqrt{40}*\sqrt{65}}

cos\theta = \frac{-16}{\sqrt{2600}}

cos\theta = \frac{-16}{\sqrt{100*26}}

cos\theta = \frac{-16}{10\sqrt{26}}

cos\theta = \frac{-8}{5\sqrt{26}}

Take arccos of both sides

\theta = cos^{-1}(\frac{-8}{5\sqrt{26}})

\theta = cos^{-1}(\frac{-8}{5 * 5.0990})

\theta = cos^{-1}(\frac{-8}{25.495})

\theta = cos^{-1}(-0.31378701706)

\theta = 108.288386087

<em></em>\theta = 108.29<em> (approximated)</em>

4 0
2 years ago
The school sold 200 tickets to play. Student tickets are $4 and adult tickets are $6. If they made a total $930 how many of each
r-ruslan [8.4K]

200 + \div 4 =
50
200 \div 6 =
33 \infty
There was 50 student tickets sold for the play.
There was 33 infinity adult tickets sold for the play

5 0
3 years ago
Whic two transformations are applied to pentagon ABCDE to create A'B'C'D'E?
Blababa [14]
It's either a (the first one) or b (the second one), but if I had to choose I would choose b. If I'm wrong I'm so sorry I spent 10 minutes looking at this.
8 0
3 years ago
Read 2 more answers
27. A factory worker has 5,500 puzzles to pack into cartons that each hold 785 puzzles. How many puzzles will be left over after
oee [108]

Answer:

C. 7

Step-by-step explanation:

5,500 divided by 785 = 7.006, which can be rounded to 7.

6 0
3 years ago
In a certain region, the average movie theater ticket prices in 2009 was $7.70, in 2008 it was $7.36. Find the increase in avera
nordsb [41]

Answer:

The increase price of movie ticket is $ 0.34  or 4.619 %

Step-by-step explanation:

Given as :

The average movie theater price in 2009 = $ 7.70

The average movie theater price in 2008 = $ 7.36

So, let The increase  in price from 2008 to 2009 = $ 7.70 - $ 7.36

I.e                                                                               = $ 0.34

Now in percentage increase

Percentage increase = \frac{price in 2009 - price in 2008}{price in 2008} × 100

Or,  Percentage increase = \frac{$ 7.70 - $ 7.36}{$ 7.36} × 100

Or, Percentage increase = \frac{$ 0.34}{$ 7.36} × 100

∴  Percentage increase = 4.619 %

Hence The increase price of movie ticket is $ 0.34   or 4.619 %  Answer

8 0
3 years ago
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