Determine the coordinates of the point on the straight line y=3x+1 that is equidistant from the origin and (−3, 4).

Step-by-step explanation:

Given

Required

Determine (x,y) equidistant from the equation and the given point

This question will be answered using distance formula;

Considering The first Point

The distance is:

Considering the second point:

The distance is:

Equate both values of d

Square both sides

Collect Like Terms

Recall that

Solve for x

Substitute for x in

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

i think the answer is true

step-by-step explanation: