First let's review how to expand this!
(ax+b)^2=a^2*x^2+2abx+a^2
In this case
(2x^2+1/2)^2=2^2*x^2+2*1/2*2x+(1/2)^2
=4x^2+2x+1/4
Done!
I believe that Noah’s number 15.
19 - 15 = 4
4 * 4 = 16
Answer:
Step-by-step explanation:
A line goes through the points (-2, 4) and (8, 9). We see that x increases by 10 and y increases by 5.
Thus, the slope of this line is m = rise / run = 5/10 = 1/2 (the slope)
Starting with the point slope equation y - k = m(x - h) and substituting 9 for y, 8 for x and 1/2 for m, we get:
y - 9 = (1/2)(x - 8) (point-slope form)
y = (1/2)x + 5 (slope-intercept form)
2 and 3 are correct. 1 is false because the graph opens downward. If the a value, which is -1 in this case, is less than 0, the graph will open downward. -1 is less than 0 so the graph opens downward
