Slope formula: m = (Knowing that m represents the slope)
Substitute (1,0) for (x1,y1), and (-1,-3) for (x2,y2)
Slope of the line of (1,0) and (-1,-3) is:
m = = =
(Simplify)
Slope of the line of (1,0) and (-1,-3) is
Answer:
1) one solution
2) Infinitely many solution
3) no solution
Step-by-step explanation:
The first equation is -14-8x=-2(-3x+7)
Let us expand the right hand side to get:
-14-8x=-2*-3x+-2*7
We multiply -14-8x=6x-14
We group similar terms to get:
-8x-6x=-14+14
Combine similar terms to get:
-14x=0
Divide through by -14 to get:
x=0
2) The second equation is 3+5x=5(x+2)-7
We expand to obtain:
3+5x=5x+5*2-7
Multiply to get:
3+5x=5x+10-7
This gives us
3+5x=5x+3
5x=5x
1=1
There is infinitely many solutions
3) The third equation is: 36-7x=-7(x-5)
We expand to get:
36-7x=-7x+35
Group similar terms;
-7x+7x=35-36
0=-1
This statement is not true so there is no solution.
<u>Answer:</u>
The expression that can be used to determine how fast an elephant runs in miles per hour is 100 miles per hour
<u>Solution:</u>
Given that,
Distance covered by an elephant in 36 seconds is equal to 1 mile
Therefore, <em>distance covered by the elephant in 1 second</em> is mile
Therefore, <em>distance covered by the elephant in 60 seconds</em> (60 seconds = 1 minute) is
Therefore, <em>distance covered by the elephant in 60 minute</em> (60 minute = 1 hour) is
Hence the expression that can be used to determine how fast an elephant runs in miles per hour is 100 miles per hour