I graphed the points and I observed that it can form a right triangle. The distance required is the hypotenuse of the right triangle.
long leg is from -2 to 6 value of the x line. Its measure is 8.
short leg is form 0 to 5 value of the y line. Its measure is 5.
We will use the Pythagorean theorem to get the hypotenuse or distance of two points.
a² + b² = c²
8² + 5² = c²
64 + 25 = c²
89 = c²
√89 = √c²
9.43 = c
The distance of the two points, M and H, is 9.43
Answer:
Distributive property with exponents
Expand the equation.
Multiply (distribute) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set.
Combine like terms.
Solve the equation and simplify, if needed.
Step-by-step explanation: