So for this polynomial, we will be completing the square. Firstly, what two terms have a product of 20m^2 and a sum of -12m? That would be -10m and -2m. Replace -12m with -2m - 10m: $m^2-2m-10m+20$

Next, factor m^2 - 2m and -10m + 20 separately. Make sure that they have the same quantity inside of the parentheses: $m(m-2)-10(m-2)$

Now you can rewrite this expression as $(m-10)(m-2)$ . <u>(m - 10) and (m - 2) are your two factors.</u>

4 0

3 years ago

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I need the equation of the line in the graph

sattari [20]

First of all, we know that it's a linear equation, which means it'll have to be y=mx+b.

Identify your points.
(0, 0) and (5, 4).

Now find the slope by doing
m = (y₂ - y₁)/(x₂ - x₁)
m = (4 - 0)/(5 - 0)
m = 4/5
So the slope is 4/5 or 0.8.

Now set the equation up. You have a point and the slope, so use the point-slope equation.
y - y₁ = m(x - x₁)
y - 4 = 4/5(x - 5)
y - 4 = 4/5x - 4
y = 4/5x

So the equation of the line is y=4/5x.

8 0

3 years ago