Answer:
Neither; see below
Step-by-step explanation:
Your acceleration: 
Your friend's acceleration: 
Therefore, since both you and your friend accelerate at the same rate, neither is faster.
For starters, create an equation to show David's earnings. We can do this using Danielle's as a basis, which is set up as y=(# of hours)x+(bonus). This gives us y=12x+80. Now, as we need both their ys to be equal, we just set both equations equal to each other, making 15x+50=12x+80. Now, we solve for x, starting with 15x+50=12x+80, subtracting 12x from both sides to get 3x+50=80, subtracting 50 from both sides to get 3x=30, and dividing three from both sides to get x=10. To check, we just plug in our answer to both equations and see if the ys match up. With Danielle's equation, we get y=15(10)+50=150+50=200 and with David's equation, we get y=12(10)+80=120+80=200, proving that our answer is correct.
Answer:
b. both functions have a negative slope
Step-by-step explanation:
The given function is
This function is of the form 
, where 
is the slope and 
is the y-intercept.
We can also determine the slope of the function in the table using any two points, say 
.
The slope formula is given by,
.
If 
, then,
.
We can see that both functions have a negative slope.
The correct answer is B.
In the figure, tx is perpendicular to line RS.this means we can use the pythagorean theorem to determine RX length the long way or simply apply the theorem that each divided triangle becomes a 30-60-90 angle. If opposite to 60 deg is equal to 6 units, then the side's length is equal to 2*6/sq rt 3 or equal to 6.93 units. The answer is half of this equal to 3.47 units.
Answer:
x = 1
Step-by-step explanation:
the angle 2 is equal to 52, because triangles add up to be 180, and 180 - 76 and divided by two is 52. 52 = 4x + 12. Divide both sides by four, then subtract 12. x = 1
