Answer:
Yes, she is correct.
Step-by-step explanation:
Given equation,
![-5\frac{1}{8}n = -9\frac{3}{4}](https://tex.z-dn.net/?f=-5%5Cfrac%7B1%7D%7B8%7Dn%20%3D%20-9%5Cfrac%7B3%7D%7B4%7D)
![(-5-\frac{1}{8})n=-9-\frac{3}{4}](https://tex.z-dn.net/?f=%28-5-%5Cfrac%7B1%7D%7B8%7D%29n%3D-9-%5Cfrac%7B3%7D%7B4%7D)
![\frac{(-40-1)n}{8}=\frac{-36-3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B%28-40-1%29n%7D%7B8%7D%3D%5Cfrac%7B-36-3%7D%7B4%7D)
![-\frac{41}{8}n =-\frac{39}{4}](https://tex.z-dn.net/?f=-%5Cfrac%7B41%7D%7B8%7Dn%20%3D-%5Cfrac%7B39%7D%7B4%7D)
![-41\times 4n = -39\times 8](https://tex.z-dn.net/?f=-41%5Ctimes%204n%20%3D%20-39%5Ctimes%208)
![\implies n =\frac{39\times 2}{41}=\frac{78}{41}=1\frac{37}{41}](https://tex.z-dn.net/?f=%5Cimplies%20n%20%3D%5Cfrac%7B39%5Ctimes%202%7D%7B41%7D%3D%5Cfrac%7B78%7D%7B41%7D%3D1%5Cfrac%7B37%7D%7B41%7D)
By estimation :
Since, 1/8 = 0.125 ≈ 0, while, 3/4 = 0.75 ≈ 1
⇒ ![-5\frac{1}{8}\approx -5](https://tex.z-dn.net/?f=-5%5Cfrac%7B1%7D%7B8%7D%5Capprox%20-5)
And, ![-9\frac{3}{4}\approx -10](https://tex.z-dn.net/?f=-9%5Cfrac%7B3%7D%7B4%7D%5Capprox%20-10)
![-5n = -10\implies n =\frac{-10}{-5}=2](https://tex.z-dn.net/?f=-5n%20%3D%20-10%5Cimplies%20n%20%3D%5Cfrac%7B-10%7D%7B-5%7D%3D2)
Since,
is near to 2.
Hence, she is correct.
First multiply 9x10 which is 90, then it would be 90^4 which is 65,610,000.
If two lines are perpendicular, the statement that must be true is : D. The product of their slopes is -1
Lets say that a line has a slope of 2, the line which perpendicular to that line would have a slope of -1/2
Which means, the product would be 2(-1/2) = -1
hope this helps
Answer:
absolute value is the number itself regardless if it is negative or positive
The ratio is 4/3 because you add AC which is 12 and then divided 9 (BC) by 12