Answer:
x + 2y = 8.
Step-by-step explanation:
Line goes through (-4, 0) and (4, -4).
The slope is (-4 - 0) / (4 - -4) = -4 / (4 + 4) = -4 / 8 = -1/2.
Since we are looking for the equation of the line parallel to that line, the slope will be the same.
We have an equation of y = -1/2x + b. We have a point at (2, 3). We can then say that y = 3 when x = 2.
3 = (-1/2) * 2 + b
b - 1 = 3
b = 4.
So, we have y = -1/2x + 4.
1/2x + y = 4
x + 2y = 8.
Hope this helps!
I don't know, what did the policeman shout to the math professor as a mob of excited calculus students crowded around these displays on his graphing calculator?
Answer:
x = -2
Step-by-step explanation:
From x = -2 to x = 5, f' is negative. That means f is decreasing.
From x = 5 to x = 6, f' is positive. That means f is increasing.
The negative area (between x = -2 and x = 5) is larger than the positive area area (between x = 5 and x = 6). That means f decreases more than it increases.
So f is an absolute maximum at x = -2.
<span>m∠SYD = </span>106.02°
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