Best Answer:<span> </span><span>I'll make one up and explain how to do it.
Lets say your two points are (2,6) and (-4,7)
To start with you need to use the point-slope formula which is y2-y1/x2-x1
Remember (x,y), Thus we have
7-6/-4-2 = 1/-6; So out slope is -1/6
Now lets use the following equation y = mx+b to solve for b which is the y-intercept. By substitution of either order pair we can solve for b
6 = 2(-1/6)+b; distribute the 2
6 = -2/6+b; add 2/6 to each side to isolate b
6+2/6 = b; put 6 over 1
6/1+2/6 = b; get a common denominator between 6/1 and 2/6 which is 6
6(6/1)+2/6 = b ; distribute
36/6+2/6 = b; add these up
38/6 = b; reduce to lowest terms by dividing by 2 to each
19/3 = b
So our final equation is y = -1/6x+19/3 </span>
Answer:
129.9 kPa
Step-by-step explanation:
The relationship between temperature T, volume V and pressure P is given by the ideal gas equation which is given as
K = PV/T where K is a constant such that were there is a change of temperature T₁, volume V₁ and pressure P₁ to temperature T₂, volume V₂ and pressure P₂ then the relationship may be given
P₁V₁/T₁ = P₂V₂/T₂
where T is measured in ⁰K
T₁ = -50 + 273
= 223 ⁰K
T₂ = 102 + 273
= 379 ⁰K
5 × 107/223 = P₂ × 7/379
P₂ = 129.9 kPa
Answer:
what are you asking for
Step-by-step explanation:
There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)
There's no solution to this particular system because the two lines are parallel.
How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.
The line on the left passes through the points (-1, 0) and (0, -2), so it has slope
(-2 - 0)/(0 - (-1)) = -2/1 = -2
The line on the right passes through (0, 2) and (1, 0), so its slope is
(0 - 2)/(1 - 0) = -2/1 = -2
The slopes are equal, so the lines are parallel.
Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.
To work out the profit, firstly, you have to work out the cost of buying them, which is $15 multiplied by 100, which is $1500. You then have to work out what he sold them all at, which is $29.99 multiplied by 100, which is $2999. You then have to subtract $1500 from $2999, giving you $1499. Therefore, Ace made $1499 in profit.
Hope this helps :)
