Realize that since 2x and 3x - 1 are equal to each other, they are also equal to y. This means that we can craft two equations, y = 2x and y = 3x - 1.
When you want to solve a systems of equations via a graph, you need to plot both equations on a graph and determine the x- and y-value of where the lines intersect. In this case, we would plot both y = 2x and y = 3x - 1. These lines intersect at the point (1, 2).
Since we are trying to find the day the bullfrog will be able to eat the entire population, or x, we are going to use the x-value of our point as our answer. Thus, our answer is 1 day.
Answer:
1. A rotation of 90°.
2. A reflection in the y-axis.
4. A translation of 3 units to the left.
Is there a picture?
So we can figure it out
Answer:
see below
Step-by-step explanation:
Every vertex moves twice as far from the center of dilation as it is in the pre-image.
Perhaps the easiest image point to find is the one at lower left. In the pre-image it is 2 units left of the center of dilation, so the image point will be 2×2 = 4 units left of the center of dilation. It will be located at (-6, -2).
Other points on the image can be found either by reference to the center of dilation, or by reference to known image points. For example, the next point clockwise is 1 left and 4 up in the pre-image, so will be 2 left and 8 up from (-6, -2) in the image. That is, the pre-image point (-5, 2) becomes image point (-8, 6). You will note that (-5, 2) is 3 left and 4 up from the center of dilation, and that (-8, 6) is 6 left and 8 up from the center of dilation (twice as far away).