parallelogram ABCD is shown with diagnols, line AC and DB intersecting at point E. If AE = 4x - 3 and EC = 3x - 1, what is the length of line AC?

10

Step-by-step explanation:

So because AC is intersected at the middle, or the midpoint, being E, you can say that both sides of AC; AE and EC, are equal to each other. You can make 4x-3=3x-1 and combine like terms to get X on one side by itself. First, you want to subtract 3x from both sides to move the x from left side and only have it on the right. You should x-3=-1. Then, you want to remove the -3 from the left side and bring it to the right to have x by itself. To cancel the -3 on the left side you have to add 3 on both sides. You should have x=2. Now that you have x, you can plug it into both AE and EC, then add them together. You should have 5 for AE and 5 for EC, and adding them up makes 10. Hope I could help :)

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

the answer is b.

step-by-step explanation: