Which expression can be used to determine the length of segment AB? On a coordinate plane, triangle A B C has points (4, 3), (negative 2, 1), (negative 2, 3). StartRoot 2 squared + 6 squared EndRoot StartRoot 2 squared minus 6 squared EndRoot StartRoot 6 squared minus 2 squared EndRoot StartRoot (2 + 6) squared EndRoot

StartRoot 2 squared + 6 squared EndRoot

Step-by-step explanation:

we have

A(4,3) and B(-2,1)

we know that

the formula to calculate the distance between two points is equal to

substitute the given values

therefore

StartRoot 2 squared + 6 squared EndRoot

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry