Question
x+5/x+2 - x+1/x²+2x
Answer:
= (x² - 4x - 1)/[x (x+2)]
= (x² - 4x - 1)/[x² + 2x]
Step-by-step explanation:
x + 5/x + 2 - x + 1/x² + 2x
We factorise the second denominator to give us :
x + 5/x + 2 - x + 1/x(x + 2)
We find the L.C.M of both denominators which is x(x+2).
[x(x + 5)-(x + 1)] / (x (x + 2))
Expand the bracket
=[x² +5x - x -1] / [x (x + 2)]
=(x² - 4x - 1) / [x (x + 2)]
= (x² - 4x - 1)/ [x (x + 2)]
= (x² - 4x - 1) / [x² + 2x]
Answer:
it is a 30 degree angle
Step-by-step explanation:
Answer:
<u>radius = √13</u>
Step-by-step explanation:
Forming the equation :
<u>(x - h)² + (y - k)² = r²</u>
- (x, y) = point on circle
- (h, k) = center of circle
- r = radius
Solving :
- (-2 + 4)² + (3 - 6)² = r²
- r² = 4 + 9
- <u>radius = √13</u>
Answer:
Infinitely Many Solutions
Step-by-step explanation:
Given
![\left[\begin{array}{cccccc}1&2&3&4&5&6\\7&6&5&4&3&2\\8&8&8&8&8&8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccc%7D1%262%263%264%265%266%5C%5C7%266%265%264%263%262%5C%5C8%268%268%268%268%268%5Cend%7Barray%7D%5Cright%5D)
Required
Determine the type of solution
From the matrix, we have:
3 non-zero rows and 5 variables (the last column is the result)
When the number of variables is more than the number of non-zero rows, then such system has infinitely many solutions
i.e.


Based on the way these stations are connected, we can infer that there are <u>56 tubes. </u>
<h3>Number of tubes in Spaceland </h3>
Each pair of stations have 2 tubes. This means that every station is connected to each of the others.
We can therefore infer that each station has 7 tubes to the other stations.
The total number of tubes would therefore be:
= Number of stations x Number of tubes per station
= 8 x 7
= 56 tubes
In conclusion, there are 56 tubes.
Find out more on proportionality problems at brainly.com/question/24822176.