Answer:
200 feet
Step-by-step explanation:
I believe you can use cosine 60° (which is 0.5) and set it equal to x/400
.5 = <u> x </u>
400
x = 200
Answer: The first one is "translated 4 units down". The second one is "vertically stretched by a factor of 4".
Recall that y = f(x). When we say f(x)-4, we really mean y-4 so that means each y coordinate of all the points on the graph have been reduced by 4. Visually this shifts the graph down 4 units. A translation in geometry is the technical term for shifting.
When we say 4*f(x), we are multiplying each y coordinate by 4. A point like (1,2) turns into (1,8) for instance. If you apply this to every point on the graph, then the curve is stretched vertically to be 4 times taller than it usually is; which is an informal way of saying "vertically stretched by a factor of 4"
Answer:
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Step-by-step explanation:
Wow. Ok, really simple, honestly. Because 3(5x) = 15x. (3*5)(3*x) = 3*5 = 15*3 = 45x. Therefore, 15x and 45x do not correspond to each other at all, meaning that 3(5x) is not equivalent to (3*5)(3*x)!!!