For this case we have that the original vertex is given by:
P = (4, -5)
We apply the following transformation:
(x, y) (-x, y)
We have then:
(4, -5) (- (4), -5) (- 4, -5)
Therefore, we have a reflection on the y axis.
The point obtained is the vertice:
P '= (-4, -5)
Answer:
the line of reflection is:
the y-axis
Answer: See explanation
Step-by-step explanation:
1. Let the small number be x
Then, the bug number will be: x + 25
Therefore, x + x + 25 = 131
2x + 25 = 131
2x = 131 - 25
2x = 106
x = 106 / 2
x = 53
Small number= 53
Big number = x + 25 = 53 + 25 = 78
2. Let the small number be x
Then, the bug number will be: x + 14
x + x + 14 = 58
2x + 14 = 58
2x = 58 - 14
2x = 44
x = 44/2
x = 22
Small number = 22
Bug number = 22 + 14 = 36
The numbers are 22 and 36.
3. Let number of basketball sold be x
Therefore, number of football sold will be x+3.
Therefore, x + x + 3 = 27
2x + 3 = 27
2x = 27 - 3
2x = 24
x = 24/2
x = 12
12 basketball were sold
Number of footballs sold = 12 + 3 = 15
4. Let calories in bowl of soup x
Hamburger = 2 × x = 2x
Therefore, x + 2x = 738
3x = 738
x = 738/3
x = 246
There are 246 calories in bowl of soup
Calories in hamburgers = 246 × 2 = 492 calories
Answer : Z = 5
Step-by-step explanation :
62 = 9z + 17
-17 -17
45 = 9z
/9 /9
5 = z
Plug it back in :
62 = 9(5) + 17
62 = 45 + 17
62 = 62
