Step-by-step explanation:
Given functions are:
We have to find the difference of functions
So,
Combining like terms
Hence,
Keywords: Functions, Operations
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Triangle XYZ has points X = (–4,4), Y = (0,1), and Z = (4,4). Triangle X'Y'Z' has points X ’= (–5,–4), Y’ = (–1,–1), Z’ = (3,–4)
Rama09 [41]
So they moved down one and reflected over the y axis
Answer:
Exactly one solution
Step-by-step explanation:
4x -2y = 8
2x +y = 2
Multiply the second equation by 2
4x +2y = 4
Add the two equations together
4x -2y = 8
4x +2y = 4
-------------------
8x = 12
x = 12/8
We know there will be one solution
Answer: 7cm
Step-by-step explanation:
The perimeter of a triangle is calculated by adding the length of the 3 sides together. Let the third side be x , then
x + 9 + 6 = 22
x + 15 = 22
Subtract 15 from both sides , that is
x = 22 - 15
x = 7
Therefore : the third side is 7cm
Answer:
21.
Step-by-step explanation:
Since there were five teams entered in a competition, and each team consisted of either only boys or only girls, with the number of team members being 9, 15, 17, 19 and 21 members, if after one team of girls had been knocked out of the competition, the number of girls still competing was three times the number of boys, to determine how many girls were in the team that was eliminated, the following calculation must be performed:
9 + 15 + 17 + 19 = 60/4 = 15
9 + 15 + 17 + 21 = 62/4 = 15.5
9 + 15 + 19 + 21 = 64/4 = 16
9 + 17 + 19 + 21 = 66/4 = 16.5
15 + 17 + 19 + 21 = 72/4 = 18
Thus, since 15 x 3 equals 45, and 45 plus 15 equals 60, the number of girls on the team that was eliminated was 21.
