Answer:
28.5
Step-by-step explanation:
This is because each number increases by half of the previous number,
the difference between 10 and 18 is eight, which when halved is 4,
the difference between 18 and 24 is four, the pattern then carries on...
Hopefully you found this useful :)
Answer:
888 if you pay, and savings is 222
Step-by-step explanation:
-2bc=12-3ab
c=(3ab-12)/(2b)
Answer:
It is true.
Step-by-step explanation:
8 multiplied by 9 is 72. 5+3 is 8, which is multiplied by 9, giving the same answer on both ends.
Answer:
The length of the segment F'G' is 7.
Step-by-step explanation:
From Linear Algebra we define reflection across the y-axis as follows:
,
(Eq. 1)
In addition, we get this translation formula from the statement of the problem:
,
(Eq. 2)
Where:
- Original point, dimensionless.
- Transformed point, dimensionless.
If we know that
and
, then we proceed to make all needed operations:
Translation
![F''(x,y) = (-2-3,4+2)](https://tex.z-dn.net/?f=F%27%27%28x%2Cy%29%20%3D%20%28-2-3%2C4%2B2%29)
![F''(x,y) = (-5,6)](https://tex.z-dn.net/?f=F%27%27%28x%2Cy%29%20%3D%20%28-5%2C6%29)
![G''(x,y) = (-2-3,-3+2)](https://tex.z-dn.net/?f=G%27%27%28x%2Cy%29%20%3D%20%28-2-3%2C-3%2B2%29)
![G''(x,y) = (-5,-1)](https://tex.z-dn.net/?f=G%27%27%28x%2Cy%29%20%3D%20%28-5%2C-1%29)
Reflection
![F'(x,y) = (5, 6)](https://tex.z-dn.net/?f=F%27%28x%2Cy%29%20%3D%20%285%2C%206%29)
![G'(x,y) = (5,-1)](https://tex.z-dn.net/?f=G%27%28x%2Cy%29%20%3D%20%285%2C-1%29)
Lastly, we calculate the length of the segment F'G' by Pythagorean Theorem:
![F'G' = \sqrt{(5-5)^{2}+[(-1)-6]^{2}}](https://tex.z-dn.net/?f=F%27G%27%20%3D%20%5Csqrt%7B%285-5%29%5E%7B2%7D%2B%5B%28-1%29-6%5D%5E%7B2%7D%7D)
![F'G' = 7](https://tex.z-dn.net/?f=F%27G%27%20%3D%207)
The length of the segment F'G' is 7.