Answer:
(2,8) and (-2 -8) are reflections of each other over both axes
Step-by-step explanation:
Replacing y by x in the first line we'll get x+8x-12=6, so 9x=18, x=2, y=1 being the only solution
Answer: the length of the field is 70 yards. The width of the field is 35 yards
Step-by-step explanation:
Let L represent the length of the rectangular athletic field.
Let W represent the width of the rectangular athletic field.
A rectangular athletic field is twice as long as it is wide. This means that
L = 2W
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
If the perimeter of the athletic field is 210 yards, it means that
210 = 2(L + W)
L + W = 210/2 = 105
Substituting L = 2W into L + W = 105, it becomes
2W + W = 105
3W = 105
W = 105/3 = 35
L = 2W = 2 × 35
L = 70
The factors of seven are 1 and 7
Answer:
<em>40</em>
Step-by-step explanation:
Given that:
Number of options available for transmission = 2 (Standard or Automatic)
Number of options for doors = 2 (2 doors or 4 doors)
Number of exterior colors available = 10
To find:
Total number of outcomes = ?
Solution:
First of all, let us calculate the number of outcomes for the transmission mode and number of doors options.
1. Standard - 2 doors
2. Standard - 4 doors
3. Automatic - 2 doors
4. Automatic - 4 doors
Number of outcomes possible = 4 (which is equal to number of transmission mode available multiplied by number of doors options i.e. 2)
Now, these 4 will be mapped with 10 different exterior colors.
Therefore total number of outcomes possible :
Number of transmission modes Number of doors options Number of exterior colors
2 2 10 = <em>40</em>