Twelve athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be given to the second-place
1 answer:
Answer:
1320
Step-by-step explanation:
We are given that
Total number of athelets are running in race=12
Total number of medals =3
We have to find the total possible number of ways can the 3 medals be distributed.
Total number of ways for choosen gold medal=12
Number of ways for choosen silver medal=11
Number of ways for choosen Bronze medal=10
Total number of possible ways=
Hence, total number of possible ways in which 3 medals be distributed=1320
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The equation of line in standard form is 5x - 4y = -38
<em><u>Solution:</u></em>
Given that we have to find the equation of line perpendicular to 4x + 5y = 40 that includes the point (-10, -3)
<em><u>The equation of line in slope intercept form is given as:</u></em>
y = mx + c ------ eqn 1
Where "m" is the slope of line and "c" is the y - intercept
Given equation of line is:
4x + 5y = 40
Rearranging to slope intercept form, we get
5y = -4x + 40
On comparing the above equation with eqn 1,
We know that product of slope of line and slope of line perpendicular to given line is equal to -1
Therefore,
Now find the equation of line with slope 5/4 and passing through (-10, -3)
Substitute and (x, y) = (-10, -3) in eqn 1
Substitute and
in eqn 1
The standard form of an equation is Ax + By = C
Therefore,
Thus the equation of line in standard form is found