Hello! I believe the answer to your question is C (hours). If t is the amount of time it takes, hours is a unit of time, therefore I assume that would be your answer. :)
Answer:
x² + 2x + y² + 4y = 20
(x² + 2x + 1) - 1 + (y² + 4y + 4) - 4 = 20
(x + 2)² + (y + 4)² - 5 = 20
(x + 2)² + (y + 4)² = 25
Therefore, the center is (-2, -4) and the radius is √25 = 5.
Answer:
The inequality sign remains same while multiply or divide both sides by positive numbers.
The inequality sign changes while multiply or divide both sides by negative numbers.
Step-by-step explanation:
The given inequality is - 8 < 2.
Now, if we multiply 2 in both sides then - 16 < 4
Again, if we divide by 2 into both sides then - 4 < 1
Therefore, the inequality sign remains the same while multiply or divide both sides by positive numbers.
Now, if we multiply -2 in both sides then 16 > -4
And, if we divide -2 into both sides then 4 > -1
Therefore, the inequality sign changes while multiply or divide both sides by negative numbers. (Answer)
5/10=1/2
4/12=1/3
3/9=1/3
6/9=2/3
2/16=1/8
10/40=1/4
2/4=1/2
6/18=1/3
4/20=1/5
9/27=1/3
7/27---- something wrong with this
8/36=2/9
Answer:
(0.9,4.2)
Step-by-step explanation:
Given:
The table above such that
![y = -x + 5](https://tex.z-dn.net/?f=y%20%3D%20-x%20%2B%205)
![y = 6x - 1](https://tex.z-dn.net/?f=y%20%3D%206x%20-%201)
Required
Approximation of the solution
To do this, we start by equating both values of y
![-x + 5 = 6x - 1](https://tex.z-dn.net/?f=-x%20%2B%205%20%3D%206x%20-%201)
Collect like terms
![-x - 6x = -5 -1](https://tex.z-dn.net/?f=-x%20-%206x%20%3D%20-5%20-1)
![-7x = -6](https://tex.z-dn.net/?f=-7x%20%3D%20-6)
Divide both sides by -7
![\frac{-7x}{-7} = \frac{-6}{=7}](https://tex.z-dn.net/?f=%5Cfrac%7B-7x%7D%7B-7%7D%20%3D%20%5Cfrac%7B-6%7D%7B%3D7%7D)
![x = \frac{6}{7}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B6%7D%7B7%7D)
![x = 0.8571](https://tex.z-dn.net/?f=x%20%3D%200.8571)
(Approximated)
Substitute
for x in any of the expression of y
Using ![y = -x + 5](https://tex.z-dn.net/?f=y%20%3D%20-x%20%2B%205)
![y = -\frac{6}{7}+ 5](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B6%7D%7B7%7D%2B%205)
![y = \frac{-6+35}{7}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B-6%2B35%7D%7B7%7D)
![y = \frac{29}{7}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B29%7D%7B7%7D)
(Approximated)
The closest to this is option D
(x,y) = (0.9,4.2)