![\displaystyle\frac{n^2-10n+24}{n^2-13n+42}-\frac{9}{n-7}=\frac{(n-6)(n-4)}{(n-6)(n-7)}-\frac{9}{n-7}\\\\=\frac{n-4}{n-7}-\frac{9}{n-7}=\frac{n-4-9}{n-7}\\\\=\frac{n-13}{n-7}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7Bn%5E2-10n%2B24%7D%7Bn%5E2-13n%2B42%7D-%5Cfrac%7B9%7D%7Bn-7%7D%3D%5Cfrac%7B%28n-6%29%28n-4%29%7D%7B%28n-6%29%28n-7%29%7D-%5Cfrac%7B9%7D%7Bn-7%7D%5C%5C%5C%5C%3D%5Cfrac%7Bn-4%7D%7Bn-7%7D-%5Cfrac%7B9%7D%7Bn-7%7D%3D%5Cfrac%7Bn-4-9%7D%7Bn-7%7D%5C%5C%5C%5C%3D%5Cfrac%7Bn-13%7D%7Bn-7%7D)
The last choice is appropriate.
Answer:
The last one
Step-by-step explanation:
The last one shows x being multiplied by 0.28, which is the product
Answer:
![x+y=11](https://tex.z-dn.net/?f=x%2By%3D11)
Step-by-step explanation:
Here we are given two coordinates through which our lines passes through. Now we are going to use the two point form to find the equation of the line.
The two point form is given as
![\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By-y_1%7D%7Bx-x_1%7D%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Here we are given two coordinates . Thus replacing them in the formula and simplifying it will give us the equation of the line.
![\frac{y-6}{x-5}=\frac{7-6}{4-5}](https://tex.z-dn.net/?f=%5Cfrac%7By-6%7D%7Bx-5%7D%3D%5Cfrac%7B7-6%7D%7B4-5%7D)
![\frac{y-6}{x-5}=\frac{1}{-1}](https://tex.z-dn.net/?f=%5Cfrac%7By-6%7D%7Bx-5%7D%3D%5Cfrac%7B1%7D%7B-1%7D)
![(y-6)=-(x-5)](https://tex.z-dn.net/?f=%28y-6%29%3D-%28x-5%29)
![y-6=-x+5](https://tex.z-dn.net/?f=y-6%3D-x%2B5)
adding x and 6 on both sides we get
![x+y=11](https://tex.z-dn.net/?f=x%2By%3D11)
Hence this is our equation of the line passing through (5,6) & (4,7)
Answer:
a) 2 b) -1/2
Step-by-step explanation:
a) im pretty sure the question only asks for the slope of the parallel line y=2x+3, that that would be 2 because they have the same slope
b) the question is phrased weird, but im assuming it wants the same thing from a, (the slope) and the slope of a perpendicular like is always the opposite reciprocal of the original number
for example in y=2x+3:
2 is the original slope
meaning that the perpendicular would be -1/2
<em>the</em><em> </em><em>images</em><em> </em><em>above</em><em> </em><em>are</em><em> </em><em>just</em><em> </em><em>examples</em><em> </em><em>and</em><em> </em><em>are</em><em> </em><em>not</em><em> </em><em>related</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>answer</em>
Square root 270 a^2 b^2
3sq root 30 a^2b^