There are 40 runners in a race. How many ways can the runners finish first, second, and third?
1 answer:
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Answer:
The equation of line 3 is;
y = + 6
Step-by-step explanation:
Line 1 passes through the points A(-15,-8) andn B(-3,0)
Line 2 has equation shown below;
5x - 3y + 18 = 0
Line 3 is parallel to line 1 and has the same y-intercept as line 2.
We are to determine the equation of line 3.
<u>Equation of line 1:</u>
<u />
Slope = change in y-axis ÷ change in x-axis
The slope of line 1 =
Picking another point (x,y) on the line;
Slope =
y = + 2 (this is the equation of line 1)
<u>Equation of line 2:</u>
<u />
We put the equation given, of line 2, in the cartesian plane format;
3y = 5x + 18
y = + 6
Finally, the equation of line 2 is;
y = 1 + 6
<u>Equation of line 3:</u>
<u />
Given: Line 3 is parallel to line 1
The slopes of two parallel lines are the same so line 3 has a slope of
Given: Line 3 has the same y-intercept as line 2
The y-intecept of line 2 is 6 (y-intercept is the value of y when x = 0)
So the equation of line 3 is;
y = + 6
To find out how many hours it rained, divide the total rise in the river by the amount it rose every hour.
First convert the mixed number into an improper fraction. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:
When dividing fractions we flip(the reciprocal) the one we're dividing by and multiply:
Multiply the numerators and denominators together:
Simplify by dividing:
So it rained for 10 hours.
First convert the mixed number into an improper fraction. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:
When dividing fractions we flip(the reciprocal) the one we're dividing by and multiply:
Multiply the numerators and denominators together:
Simplify by dividing:
So it rained for 10 hours.