How many solutions does the system have? y=4x−8 4y=4x−8 Choose 1 answer: A. Zero solutions B. Infinite solutions C. One solution
2 answers:
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Answer:
Ratio = 3 : 2 and value of m = 5.
Step-by-step explanation:
We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.
Let us assume that it cuts the line in k : 1 ratio.
Then, the co-ordinates of P = .
But, = -6
i.e. -8k-3 = -6k-6
i.e. -2k = -3
i.e.
So, the ratio is k : 1 i.e i.e. 3 : 2.
Hence, the ratio in which P divides the line is 3 : 2.
Also, = m where
i.e. m =
i.e. m =
i.e. m =
i.e. m = 5.
Hence, the value of m is 5.
the equation is a quadratic one, and it has a positive coefficient on the leading term, meaning, is opening upwards, so it has a "burrow" for the vertex.
the minimum or lowest point for a quadratic opening upwards is, well, the vertex point :), the "x" value is the year, the "y" or f(x) value is the population, we're asked for the year, or the x-coordinate of the vertex
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