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




Reflection


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)

The length of the segment F'G' is 7.
The side length is the cube root of 460.
cube root(460) = 460^(1/3)
That's approximately 7.7
The answer to the question is d
Answer:
9 in
Step-by-step explanation:
The diameter of a circle is a chord or line that passes through the center point of a circle. It's like a radius, except the line extends to the other side
Hope this helps!
JoeyHill
To set this up you will set the two angles equal to 180° since it is a straight line
This will make the equation x+6x+19=180
Combine like terms. 7x+19=180.
Subtract 19 from both sides. This will make it 7x=161
Divide both sides by 7. That will make it x=23
Next plug in the x to solve for abc. 7(23)+19. This equals 157
X= 23
Hope this helped :)