<em><u>It's 30</u></em>
<em>Hope that helped!</em>
Answer:
FG=30
Step-by-step explanation:
Since we know that Point G is on the Segment FH, it doesn't really matter where G is, but we can know for certain that:

We are given that FH is 4x, GH is x, and FG is 2x+10. Substitute:

Solve for x. On the right, combine like terms:

Subtract 3x from both sides:

So, the value of x is 10.
To find the value of FG, substitute 10 into its x:

Multiply:

Add:

And we're done!
Answer:
1.
hours / views
1. / 125
2. / 250
3. / 375
4. / 500
5. / 625
2.
f(x)= 125 x views=125.hours
The slope of the function equals the visits of each hour.
3. (1;125) (2;250) (3;375) (4;500) (5;625)
4. "views as a function of hours"
5. in 12 hours the website will have f(12)=125 . 12 = 1500 views.
we can see in the plot that the line gets to that number for 8
Answer: The correct option is triangle GDC
Step-by-step explanation: Please refer to the picture attached for further details.
The dimensions give for the cube are such that the top surface has vertices GBCF while the bottom surface has vertices HADE.
A right angle can be formed in quite a number of ways since the cube has right angles on all six surfaces. However the question states that the diagonal that forms the right angle runs "through the interior."
Therefore option 1 is not correct since the diagonal formed in triangle BDH passes through two surfaces. Triangle DCB is also formed with its diagonal passing only along one of the surfaces. Triangle GHE is also formed with its diagonal running through one of the surfaces.
However, triangle GDC is formed with its diagonal passing through the interior as shown by the "zigzag" line from point G to point D. And then you have another line running from vertex D to vertex C.
Answer:
5 or less
Step-by-step explanation:
The speed increased linearly with distance, but is not decreasing linearly with distance. This suggests the track has an unknown shape, so prediction of car behavior is a guess, at best.
If the car continues to decrease its speed at 3 units per unit distance, then the final 3 units of speed will decrease to 0 in one additional unit of distance. That is, the car will stop at a distance of 5 units.
___
Since the car has be decreasing its speed at an increasing rate with respect to distance, very possibly the car will stop before it reaches distance unit 5.
Since we don't know the track shape, it seems possible the car may not stop until some large unknown number of distance units, say 10 or 1000.