The distance between two points is √39 One endpoint is (4,−3). It is known that the y-coordinate of the other endpoint is 2. What is the x-coordinate of this endpoint?

Step-by-step explanation:

We have the two points: (4, -3) and (x, 2).

We know that the distance between them is √39.

To find our x-coordinate of the second point, we can use the distance formula:

Let (4, -3) be (x₁, y₁) and let (x, 2) be (x₂, y₂). We also know that the distance d is √39. Substitute:

Solve for x. First, let's square both sides. This cancels out the square roots:

Evaluate the second term on the right:

Square:

Subtract 25 from both sides:

Take the square root of both sides. Since we're taking an even root, we need plus/minus. So:

Add 4 to both sides:

Therefore, there exists two possibilities for our second point. It can either be:

And we're done!

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.