Given:
s is inversely proportional to t.
When s = 0.5, t = 7.
To find:
The value of s when t=0.8.
Solution:
s is inversely proportional to t.
...(i)
Where, k is the constant of proportionality.
Putting s=0.5 and t=7, we get
Putting k=3.5 in (i), we get
This is the equation of proportionality.
Putting t=0.8, we get
Therefore, the value of s is 4.375 when t=0.8.
Easiest way is if you substitute each point (x,y) into each set of equations and both points work for both equations in the system of equations, then it is the correct answer
Otherwise substitute one equation for y in the other equation:
2x + 6 = x^2 + 5x + 6
-2x - 6. -2x -6
0 = x^2 + 3x. Factor
0 = x (x + 3)
Solve: x = 0. x + 3 = 0. ——> x = -3. Substitute into one original equation to get y value for
y = 2x + 6.
y = 2(0) + 6. y = 2(-3) + 6
y = 6. y = -6 + 6 —-> y = 0
(0 , 6) And. (-3 , 0)
I’m not sure if your asking for the solution, but Hope this helps!
Your question evokes several thoughts. Here are two of them:. 1). It takes 3 points not all on the same line to define a plane. 2). Two points ALWAYS lie on the same line.
