Question

What is the distance between (-4,5) and (2,9)?
A. 5
B. 7
C. √41
D. 10

Answer 1

Answer: B. 7

Step-by-step explanation:

When plotted, you can then create a triangle shape and solve for the hypotenuse. Angle A would be 4, Angle B would be 6. The pythagorean theorem is c=square root of A squared+B squared.

so: C=square root of 4^2+6^2

Answer 2

The distance between (-4,5) and (2,9) is C. √41.

Step-by-step explanation:

The distance between (-4,5) and (2,9) can be found using the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the coordinates, we get:

d = sqrt((2 - (-4))^2 + (9 - 5)^2)

= sqrt((6)^2 + (4)^2)

= sqrt(36 + 16)

= sqrt(52)

= √52

= C. √41