Answer:
x = 2.6
Step-by-step explanation:
Here we have that line l is the bisector of segment PQ.
According to the definition of bisector, this means that line l cuts the segment PQ into two parts of equal length.
This means that the length of PM must be equal to the length of MQ. So we can write:
![|PM|=|MQ|\\5x-7=11-2x](https://tex.z-dn.net/?f=%7CPM%7C%3D%7CMQ%7C%5C%5C5x-7%3D11-2x)
Now we have to solve the equation to find x. First, we add +7 on both sides:
![5x-7+7=11-2x+7\\5x=18-2x](https://tex.z-dn.net/?f=5x-7%2B7%3D11-2x%2B7%5C%5C5x%3D18-2x)
Now we add +2x on both sides:
![5x+2x=18-2x+2x\\7x=18](https://tex.z-dn.net/?f=5x%2B2x%3D18-2x%2B2x%5C%5C7x%3D18)
And therefore,
![x=\frac{18}{7}=2.6](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B18%7D%7B7%7D%3D2.6)
Answer:
Step-by-step explanation:
Please use " ^ " to indicate exponentation: y= x^2 + 11x + 24. Thanks.
Because x^2 is positive, the graph of this parabola opens up.
We can find the vertex and roots (zeros) as follows, using the quadratic formula:
With a = 1, b = 11 and c = 24,
-11 ± √ [ (11^2-4(1)(24) ] -11 ± √25
x = ------------------------------------ = --------------- = -3 and x = -8
2(1) 2
This tells us that the x-intercepts are at (-3, 0) and (-8, 0). The minimum value is at x = -b / (2a), which here is x = -11 / [2] = -5 1/2 (which is halfway between the zeros).
The vertex (and thus, the minimum) is at (-5 1/2, f(-5 1/2) ).
Answer:
hello
Step-by-step explanation:
The Answer Is 22
Answer:
or ![-0.1\bar6](https://tex.z-dn.net/?f=-0.1%5Cbar6)
Step-by-step explanation:
We want to evaluate;
![\lim_{x \to -7} \frac{\sqrt{2-x}-3 }{x+7}](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%20-7%7D%20%5Cfrac%7B%5Csqrt%7B2-x%7D-3%20%7D%7Bx%2B7%7D)
by the intuitive approach.
![f(-7.1)=-0.1662](https://tex.z-dn.net/?f=f%28-7.1%29%3D-0.1662)
![f(-7.01)=-0.1666](https://tex.z-dn.net/?f=f%28-7.01%29%3D-0.1666)
![f(-7.001)=-0.1667](https://tex.z-dn.net/?f=f%28-7.001%29%3D-0.1667)
![f(-6.999)=-0.1667](https://tex.z-dn.net/?f=f%28-6.999%29%3D-0.1667)
![f(-6.99)=-0.1667](https://tex.z-dn.net/?f=f%28-6.99%29%3D-0.1667)
![f(-6.9)=-0.1671](https://tex.z-dn.net/?f=f%28-6.9%29%3D-0.1671)
As we are getting closer and closer to
from both sides, the function is approaching ![-\frac{1}{6}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B6%7D)
Answer:
36 because 6 times 6 is 36 and its in the beginning :)
Step-by-step explanation: