What is the distance between the points (4,-5) and (-1,2)

d= √(74)

Step-by-step explanation:

the distance formula is:

d = √((x2 - x1)^2 +(y2-y1)^2) .     (all of that is under sq. root)

I do it i my head to make it much easier:

the distance from 4 to -1 is 5

and the distance from -5 to 2 is 7

so in your paper it should look like

d = √(5^2 + 7^2)

d= √(25+49)

d= √(74)

this can't be simplified so that is the answer.

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: