The distance between two points on a coordinate grid is 5 units. One of the points is at (2,−1) (
2
,
−
1
)
. The x-coordinate of the other point is -2. Which is a possible value for the missing y-coordinate?

-4

Step-by-step explanation: You have to solve this using the Pythagorean theorem, which indicates that any right triangle with sides a, b and hypotenuse c will have lengths a^2 + b^2 = c^2. A common Pythagorean triple is 3, 4, 5 (a common right triangle length). In this case, the distance between the two points is the hypotenuse of the triangle, which is 5 units. The x-coordinate has been shifted 4 down in this case. Knowing that, all you have to do is shift the y-coordinate down by 3 units to get your answer.

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation:

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