The endpoints of a segment are (–5, –3) and (0, 2). what are the endpoints of the segment after it has been translated 4 units up? a. (–5, –7), (0, –2) b. (–5, 1), (0, 6) c. (–1, –3), (4, 2) d. (–1, 1), (4, 6)

4 units up means 4 is added to the y-coordinate

  (-5, -3 + 4) and (0, 2 + 4)

= (-5, 1)         and (0, 6)

B

b. and

Step-by-step explanation:

We have been given the endpoints of a segment. We are asked to find the coordinates of endpoints of segment after it has been translated 4 units up.

We know that when a point is translated upwards by 'a' units, we need to add 'a' units to its y-coordinate.

To find the coordinates of segment after a translation of 4 units upwards, we will add 4 to y-coordinates of both points as:

Therefore, the endpoints of the segment after translation would be and .

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2