All you need to know is that
So, the first function grows exponentially and the second decays exponentially. The rate of growth/decay are the bases of the exponentials, which means 1.08 and 0.205
A scale model of an office is made with a 1/4 scale. The dimensions of the model are 3.5 in. by 4.25 in. What are the actual dim
1 answer:
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One way to write a line is y=mx+b, where b is a number, m is the slope of the line, and y and x are variables that you can plug numbers into. We know that we have two points, (0,5) and (10,0). To find the slope of a line, we can use the equation
Plugging this in for our points, we get
as our slope (we get -1/2 by dividing both -5 and 10 by 5 from the previous fraction), making our equation y=(-1/2)x+b. Plugging a point in to find out what b is, we get 0=(-1/2)10+b=-5+b. Adding 5 to both sides to separate the b, we get 5=b, making our equation y=(-1/2)x+5. To find out what x is for (x,2), since the y value comes second, we can plug in 2 into our equation to get 2=(-1/2)x+5. Since we want to solve for x, we have to separate it. Subtracting 5 from both sides, we get -3=(-1/2)x. Since we can multiply -1/2 by its reciprocal (switching the numerator and denominator) to get 1 (and therefore x on the right sides as 1*x=x), we multiply both sides by -2 to get 6=x, making the point (6,2)
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Plugging this in for our points, we get
Feel free to ask further questions!
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Answer:
No, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5)
Step-by-step explanation:
Line AB is horizontal, so reflection across the x-axis maps it to a horizontal line. Then rotation CCW by 90° maps it to a vertical line. The composition of transformations cannot map the figure to itself.
A reasonable explanation is the last one:
No, A″C″B″ is located at A″(1, 1), C″(4, 3), and B″(1, 5)
