Yes, your work is correct.
The diagram does illustrate x²+6x+9=72. This is also represented by
(x+3)² = 72
We can take the square root of both sides:
When we evaluate this, the answers are x = -11.5 or x = 5.5.
We need to express this statement into a equation:
First of all. We will walk through the statement step by step into a mathematical language, so:
1. The sum of five and x:
x + 5
2. Twice the sum of five and x:
2(x + 5)
3. Eight less than x:
(x-8)
Finally the whole statement is:
4. <span>Twice the sum of five and x is eight less than x:
</span>
2(x + 5) = (x-8)
2x + 10 = x - 8
x = -18
Its simple, graph them.
For the first equation, go on the Y-Axis (the vertical one) and go to 4. Then from there go up 1, right 6.
For the second equation go on the Y-Axis (the vertical one) and plot a point at 1 (aka 0,1) Now you go up 1, right 3.
When you see an equation like y=2x+3, the 3 represents the point (0,3) as when the x is 0, y=3. Just plug the numbers in. And as for the "2x" 2 is the slope. Slope is always rise/run or up, then right. So if its 2 your slope is 2/1, rise 2, over 1. If it "-2x" is your slope then all you have to do is go down 2, right 1.
I hope this cleared up your confusion, brainliest/heart would help.
You can add numbers mentally if there are zero's behind them.
