Ask question

Ask question

All categories

3 years ago

13

If yvaries inversely as x and y=18 when x=2, find y when x=4

1 answer:

Sergio039 [100]3 years ago

7 0

I believe the answer would be 36.

Hope this helped you. ;}

You might be interested in

When asked to graph the line for y = 2/5x + 3, Mallory drew the line shown.

Helen [10]

Answer:

A

Step-by-step explanation:

Using desmos we can see that the slope is positive and increasing while Mallory made a negative slope.

5 0

3 years ago

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

A carousel factory has 1,252 carousel horses. 48 horses are placed on each carousel. How many carousels can the factory build? H

Arte-miy333 [17]

4 carousels will be left over

4 0

3 years ago

Read 2 more answers

Which equation is represented by the intersection of the graphs below?<br><br> Image is above.

zaharov [31]

Option B:

sin x = 1 is the equation represented by the intersection of the graph.

Solution:

The graph lies between -1 and 1 in y-axis.

x-axis of the graph is all real numbers.

The graph oscillates between -1 and 1 and a shape that repeats itself every 2π units.

That is the domain of the graph is all real numbers.

The range of the graph is [-1, 1].

It clearly shows that, it is the graph of sinx = 1.

Hence sin x = 1 is the equation represented by the intersection of the graph.

Option B is the correct answer.

3 0

2 years ago

lee packed 2 sweatshirts and 6 t shirts in her suitcase. Which ration doe not represent the number of sweatshirts to the number

aleksley [76]

Answer: c

Step-by-step explanation:

The ratio is not 3:1

7 0

3 years ago