There are many solutions. Choose any 'x', and then choose 'y' which is greater than 7 and greater than the double of 'x'.
When writing the ordered pair, remember that 'x' comes first.
Some examples: (0,8), (1,10), (-3,9), etc.
You can interpret this graphically. The points that solve 'y>2x' are those above the line 'y=2x', and the solutions to 'y>7' are those above the line 'y=7' (which is an horizontal line). Hence the solution to the system of inequalities is the intersection of those two regions. Have a look at the illustration:
Http://www.jiskha.com/search/index.cgi?query=The+width+of+a+rectangle+is+9+less+than+twice+its+lengt...
Answer: 3/8, 0.375, 37.5%
Step-by-step explanation:
Count the number of cards with odd numbers that are greater than 4. 5, 7, and 9 are odd numbers greater than 4. There are 3 cards with odd numbers greater than 4. Probability is found by dividing this by the total number of cards, 8. This gets you a fraction of 3/8.
Answer:
19.209 miles from each other.
Step-by-step explanation:
![{a}^{2} + {b}^{2} = {c}^{2}](https://tex.z-dn.net/?f=%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%20%20%7Bc%7D%5E%7B2%7D%20)
Using this we get:
![{15}^{2} + {12}^{2} = {x}^{2}](https://tex.z-dn.net/?f=%20%7B15%7D%5E%7B2%7D%20%20%2B%20%20%7B12%7D%5E%7B2%7D%20%20%3D%20%20%7Bx%7D%5E%7B2%7D%20)
![225 + 144 = 369 = {x}^{2}](https://tex.z-dn.net/?f=225%20%2B%20144%20%3D%20369%20%3D%20%20%7Bx%7D%5E%7B2%7D%20)
![\sqrt{369 } = 19.209](https://tex.z-dn.net/?f=%20%5Csqrt%7B369%20%7D%20%20%3D%2019.209)
Answer:
The new vertices are: ![(-2,3),(-4,3),(-2,7),(-4,7)](https://tex.z-dn.net/?f=%28-2%2C3%29%2C%28-4%2C3%29%2C%28-2%2C7%29%2C%28-4%2C7%29)
Step-by-step explanation:
The given vertices are ![(3,-2),(3,-4),(7,-2),(7,-4)](https://tex.z-dn.net/?f=%283%2C-2%29%2C%283%2C-4%29%2C%287%2C-2%29%2C%287%2C-4%29)
Rule for reflection about x axis is
→
.
So,
→![(3,2)](https://tex.z-dn.net/?f=%283%2C2%29)
→![(3,4)](https://tex.z-dn.net/?f=%283%2C4%29)
→![(7,2)](https://tex.z-dn.net/?f=%287%2C2%29)
→![(7,4)](https://tex.z-dn.net/?f=%287%2C4%29)
Now, new vertices after reflection about x axis are
.
Rule for 90 degree rotation counter-clockwise is
→
.
So,
→![(-2,3)](https://tex.z-dn.net/?f=%28-2%2C3%29)
→![(-4,3)](https://tex.z-dn.net/?f=%28-4%2C3%29)
→![(-2,7)](https://tex.z-dn.net/?f=%28-2%2C7%29)
→![(-4,7)](https://tex.z-dn.net/?f=%28-4%2C7%29)
Therefore, the new rectangle after reflection about x axis and rotated 90 degrees counter-clockwise has the following vertices:
![(-2,3),(-4,3),(-2,7),(-4,7)](https://tex.z-dn.net/?f=%28-2%2C3%29%2C%28-4%2C3%29%2C%28-2%2C7%29%2C%28-4%2C7%29)