Ariyonne claims (3,6) that is the point of intersection of the lines y=4x-2 and y=1/2x+5 is she correct? how do you know?

The point of intersection of the lines is  .

Thus, Ariyonne's claim is incorrect.

Step-by-step explanation:

Given equations:

1)

2)

To find the point of intersection, we need to solve the given system of equations.

In order to solve the system we will use substitution method.

We will substitute value of from first equation in the second equation and solve for

So, we have

Multiplying both sides by 2 to remove fraction.

Using distribution.

Subtracting both sides by

Adding 4 to both sides.

Dividing both sides by 7.

We can find value of by plugging in in the first equation.

So, the point of intersection of the lines is  .

Thus, Ariyonne's claim is incorrect.

if e is the midpoint of bd, then bd is 14.

step-by-step explanation: