<span>2n^2 - 7n - 3 = 0
a = 2
b = -7
c =-3
Then use the Quadratic formula:
x = [-b +-sqroot(b^2 -4*a*c)] / 2*a
</span>
----------------------------------------------------------------------------------------------
Find the duration
----------------------------------------------------------------------------------------------
Time : 9:00am to 10:15am
Duration: 1hour 15 mins or 1.25hours
----------------------------------------------------------------------------------------------
Find difference in distance travelled between the two cyclists.
----------------------------------------------------------------------------------------------
Difference in speed = 6km/h
1 hour = 6 km
1.25 hours = 7.5km
----------------------------------------------------------------------------------------------
Find the distance the cyclist traveled
----------------------------------------------------------------------------------------------
42.5 - 7.5 = 35km
35km ÷ 2 = 17.5km
The slower cyclist traveled 17.5 km in the 1.25 hours
17.5 + 7.5 = 25 km
The faster cyclist traveled 25km in the 1.25 hours
----------------------------------------------------------------------------------------------
Find the speed of the slower cyclist
----------------------------------------------------------------------------------------------
1.25 hour = 17.5 km
1 hour = 17.25 ÷ 1.25
1 hour = 14km
The cyclist was traveling at 14km/h
----------------------------------------------------------------------------------------------
Find the speed of the faster cyclist
----------------------------------------------------------------------------------------------
1.25 hour = 25km
1 hour = 25 ÷ 1.25
1hour = 20 km
The cyclist was traveling at 20km/hour
----------------------------------------------------------------------------------------------
Answer: The speed were 14km/h and 20 km/h
----------------------------------------------------------------------------------------------
Answer: The slope of the line is 
Step-by-step explanation:
The slope of a line can be calculated with the following formula:
Then, given the points 
and 
, you can identify that:
Knowing these values you can substitute them into the formula for calculate the slope:
Finally, evaluating, you get that the slope of that line is:
<h3>
<u>Explanation</u></h3>
- Given the system of equations.
- Substitute x = 4 in the first equation.
We have both x and y values. Therefore, we can answer in coordinate point form.
<h3>
<u>Answer</u></h3>
<u>
</u>
Answer:
9 feet
Step-by-step explanation:
If each side is the equivalent, each side of the prism is the cube root of 729
Cube root of 729 is 9
Each side is 9 feet long
