The answer is 78. This is because you change 8 2/3 into a improper fraction which is 26/3. Then do 26/3×9/1. You should cross cancel so cancel out 3 and change it into 1 and change 9 into 3. So now your problem is 26×3=78.
~JZ
Hope it helps.
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.
B is the answer because domain is x and range is y
Answer
<em>TV screens are measured on the diagonal </em>
<em>. In this specific case the TV is shaped like a rectangle , whose diagonal is 40 i n c h e s and its width is 24 i n c h e s : w =
</em>
<em>24 i n d = 40 i n </em>
<em>Then , the sides of the rectangle and its diagonal form a right triangle . </em>
<em>Therefore , we can determine the height ( l ) </em>
<em>if we can apply the Pythagorean theorem: d 2 = l 2 + w 2 </em>
<em>So , solving for l : l = √ d 2 − w 2 </em>
<em>Thus , substituting: l = √ ( 40 ) 2 − ( 24 ) 2 </em>
<em>Simplifying: d = √ 1024 = 32 i n </em>
<em>Therefore </em>
<em>, the height of the TV is: </em>
<em>32 i n
</em>
Answer:
r ≥ -1. it is A because r is greater than or equal to -1.
I am sorry <u>if</u> I got it wrong.
Step-by-step explanation:
3r+2(12r+7) ≤ 5r-8
27r+14 ≤ 5r-8
I subtract 27r and 5r.
22r+14 ≤ -8
I subtract 14 and -8.
22r ≤ -22
Divide 22 on both side.
r ≥ -1