Segment AB has point A located at (5, 4). If the distance from A to B is 7 units, which of the following could be used to calculate the coordinates for point B?

7 = square root of the quantity of x plus 4 all squared plus y plus 5 all squared
7 = square root of the quantity of x plus 5 all squared plus y plus 4 all squared
7 = square root of the quantity of x minus 4 all squared plus y minus 5 all squared
7 = square root of the quantity of x minus 5 all squared plus y minus 4 all squared

D

Step-by-step explanation:

The distance formula for two points on the coordinate plane is derived from the pythagorean, where the distance is . In this case, this would be choice D. Hope this helps!

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct