Solve the following equation.
1 answer:
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The reactangle has an area of x.
So that means two numbers multiplied to each other equal to x. We can just think of itwo numbers that when multiplied equal to x as a and b.
So that means the side lengths are <u />a and b. And ab = x (will be using this right next).
And it was multiplied by some scale factor that made the new area 9x. So if the scale factor is y, then:
y can not equal to -3, because the length of a side of any polygon can never be negative.
So the dilation is 3.
And so if the dimension is 5 by 8.
Then the area is
And so then
And then after the dilation, it would be
We could check it another way too. Since we said the scale factor is 3, then:
So basically 15 by 24 is the new dimensions :)
So that means two numbers multiplied to each other equal to x. We can just think of itwo numbers that when multiplied equal to x as a and b.
So that means the side lengths are <u />a and b. And ab = x (will be using this right next).
And it was multiplied by some scale factor that made the new area 9x. So if the scale factor is y, then:
y can not equal to -3, because the length of a side of any polygon can never be negative.
So the dilation is 3.
And so if the dimension is 5 by 8.
Then the area is
And so then
And then after the dilation, it would be
We could check it another way too. Since we said the scale factor is 3, then:
So basically 15 by 24 is the new dimensions :)
Answer:
f(x) is linear
g(x) is exponential
Step-by-step explanation:
A linear function will always have the same rate of change between equally distant points, while an exponential function will have an increasingly large rate of change between equally distant points.
First, look at f(x). All these points are equally distant at 2 units apart on the x-axis, so they can be directly compared:
All of these points are the same distance apart on the y, so f(x) must be a linear function.
Now look at g(x). These are also all equally distant at only 1 unit apart.
These are very clearly not the same distance apart on the y, so g(x) must be the exponential function.