A translation of each point (x, y) of a figure can be described using the coordinate notation (x, y) -> (x + a, y + b), where a represents the horizontal distance moved and b represents the vertical distance moved. For triangle PQR with vertices P(-3, -1), Q(0, -1), and R(-1, -3), find the coordinates of the vertices of the image after the translation (x, y) -> (x - 5, y + 7).

step-by-step explanation:

it will be a cylinder. with a diameter of 8 and 4 single pieces high

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

i believe the answers 600m