Answer & Step-by-step explanation:
For this problem, we will use the distance formula.

For our (x1, y1), we will use (-3, 1). For our (x2, y2), we will use (1, 5). Now let's plug in our numbers and solve the problem.





So, the distance between (-3,1) and (1,5) is 5.657 units.
(a)

= 400
(b)


(c) Only the positive solution makes sense because you cannot have a negative side length.
(d) Since one side of the painting is 20 inches, all four sides together will be 20*4 = 80 inches
A parabola with an equation, y2 = 4ax has its vertex at the origin and opens to the right.
It's not just the '4' that is important, it's '4a' that matters.
This type of parabola has a directrix at x = -a, and a focus at (a, 0). By writing the equation as it is, the position of the directrix and focus are readily identifiable.
For example, y2 = 2.4x doesn't say a great deal. Re-writing the equation of the parabola as y2 = 4*(0.6)x tells us immediately that the directrix is at x = -0.6 and the focus is at (0.6, 0)
I'm pretty sure y is 47 and x is 46... hope that helps!
Answer:
2,3,6,7
Step-by-step explanation: Standard form is Ax+By=C
Number one and 4 are in point slope form. Number 5 has no y.