The formula d = rt gives the distance traveled in time t at rate r. A bicyclist rides for 1.5 hours and travels 25 miles.
d= D. 37.5 miles per hour
r= 25
t=1.5
25*1.5
=37.5
D.
37.5 miles per hour
Answer:
x = 4, x ≠ -1
Step-by-step explanation:
√3x + 4 = x
(√3x + 4)² = x² (Square both sides to get rid of the radical.)
3x + 4 = x²
0 = x² - 3x - 4 (Set everything to 0 by moving everything to one side.)
0 = (x - 4)(x + 1) (Factor.)
x = 4 x = -1
Now we need to check for extraneous solutions:
√3(4) + 4 = 4
√12 + 4 = 4
√16 = 4
4 = 4
√3(-1) + 4 = -1
√-3 +4 = -1
√1 = -1
1 ≠ -1
-1 is an extraneous solution.
Is this the entire question?
Answer:
In order to find the slope (m), and the y-intercept of this coordinate pair, you must complete rise over run.
This is represented by y2-y1, x2-x1. This can be represented like so:
-4-0 = -4
5--4 = 9
Here, we have concluded that our slope is -4/9.
Now, we must convert this into point slope form. Point slope form is y-y1=m(x-x1). This will look like this in our situation:
y+4=-4/9(x-0)
To solve, distribute the -4/9 first, which will leave you with:
y+4=-4/9x+0
Now, subract the 4 to both sides of the equation.
Our final answer looks like: y=-4/9-4.
<em>-</em>
<em>SLOPE: -4/9</em>
<em>Y INTERCEPT: -4 </em>