Answer:- A reflection of the line segment across the line y = –x .
Explanation:-
A reflection over the line y = -x, the x-coordinate and y-coordinate interchange their places and they are negated (the signs are changed).
Given :- A line segment has endpoints at (–1, 4) and (4, 1) such that it reflects produce an image with endpoints at (–4, 1) and (–1, –4).
(-1, 4)→(-4, 1) and
(4, 1)→(-1, -4)
Thus this shows a reflection of the line segment across the line y = –x.
Answer:
YES
Step-by-step explanation:
The criterion for formation of a triangle is that the sum of any 2 sides should be greater than or equal to the third side
So, we will test it for all 3 sides
7.4 + 12.5 ≥ 19.9
TRUE
12.5 + 19.9 ≥ 7.4
TRUE
7.4 + 19.9 ≥ 12.5
TRUE
Therefore, the segments with the sides: 7.4 , 12.5 and 19.9 do form a triangle
Answer:
B is the correct answer
Step-by-step explanation:
250 cm2
Answer:
running a two year contract is the best i have to do with my life in this world and it has a great way to go through the
Answer: 120 ways
Step-by-step explanation: In this problem, we're asked how many ways can 5 people be arranged in a line.
Let's start by drawing 5 blanks to represent the 5 different positions in the line.
Now, we know that 5 different people can fill the spot in the first position. However, once the first position is filled, only 4 people can fill the second spot and once the second spot is filled, only 3 people can fill the third spot and so on. So we have <u>5</u> <u>4</u> <u>3</u> <u>2</u> <u>1</u>.
Now, based on the counting principle, there are 5 x 4 x 3 x 2 x 1 ways for all 5 spots to be filled.
5 x 4 is 20, 20 x 3 is 60, 60 x 2 is 120, and 120 x 1 is 120.
So there are 120 ways for all 5 spots to be filled which means that there are 120 ways that 5 people can be arranged in a line.
I have also shown my work on the whiteboard in the image attached.