Answer:
The third side is sqrt(77)
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
2^2 + b^2 = 9^2
4+ b^2 = 81
Subtract 4 from each side
b^2 = 81-4
b^2=77
Take the square root of each side
sqrt(b^2) = sqrt(77)
b = sqrt(77)
The third side is sqrt(77)
Answer:
AC = 12.4 km (nearest tenth)
Step-by-step explanation:
AC can be calculated by using Pythagorean Theorem.
Thus:
AC² = AB² + BC²
Plug in the values
AC² = 8² + 9.5²
AC + √{154.25)
AC = 12.4 km (nearest tenth)
Step-by-step explanation:
The value of x is 7......
Answer:
Step-by-step explanation:
The given relation is Q = {(x, y): (2, 8), (3, 27), (4, 64), (5, 125), . . .}
We can quickly recognize a pattern to write the equation of the given relation.
We can observe the following pattern among the x and y coordintaes.




We can see that the base of the powers on the right are the x-values of the relation and the values on the left are the y-values.
Hence, for any ordered pair (x,y), the equation is
