Which graph represents a function with direct variation? A coordinate plane with a U shaped line graphed with the minimum at (0,

Applying the cosine law, we can determine:

<span>c</span>²<span> = a</span>²<span> + b</span>²<span> - 2abcos(C) </span>
<span>where: </span>
<span>a, b, and c represent the sides of the triangle and C indicates the angle opposite to side c</span>

<span>Thus, we have:</span>
<span>150</span>²<span> = 240</span>²<span> + 200</span>²<span> - 2(240)(200)cos(C) </span>

<span>Now we solve for C</span>

<span>22,500 = 57,600 + 40,000 - 96,000cos(C) </span>
<span>22,500 - 57,600 - 40,000 = -96,000cos(C) 
</span>-75,100=-96,000cos (C)
cos (C)=0.7822916
C=arc cos(0.7822916)→ C=38.53°

<span>Therefore, the direction the captain should head towards island B is
180 - 38.53 </span><span>= 141.47 degrees</span>

Answer:

Step-by-step explanation:

According to the attached figure, Jaxon is positioned 10 blocks east and 5 blocks north.

Thus, Jaxon's x-coordinates are 10 units, while the y-coordinates are 5 units.

Therefore, the coordinates are given by (10,5)

Similarly, Isaac's coordinates are determined based on his distances towards the west and south.

Hence, the x-coordinates equal 8 units and the y-coordinates equal 15 units.

Thus, Isaac’s coordinates are depicted as (-8,-15).

Answer:

10

Step-by-step explanation:

If there’s a direct correlation between variables x and y, it can be expressed as

y = kx,

where y is the dependent variable

x is the independent variable

k signifies the constant of variation

_____________________________

For the first scenario

y = 400

x = r

using y = kx, we can derive the relation:

400 = kr

To find k here:

k = 400/r

For the second scenario

y = r

x = 4

again using y = kx, the relationship is given by:

r = 4k

Solving for k:

k = r/4

Since both conditions provide the same equation, k will have the same value in both cases.

Thus, we conclude:

400/r = r/4

=> 400*4 = r*r

=> 1600 = r^2

Hence, r is calculated to be 40.

Thus, k = r/4 = 40/4 = 10.

The constant of variation is confirmed to be 10, which is the correct answer.

Verification:

k = 400/r = 400/40 = 10

Answer:

8$

Step-by-step explanation:

Since the initial car wash price remains unchanged, but subsequent washes see a reduction, you only subtract 7 dollars from the total since the discount applies 7 times. Hence, 15-7=8 so 8 dollars is the final amount.