Answer:
a) (11/7, 9/7)
b) There's no point of intersection
Step-by-step explanation:
a) x - 2y + 1 = 0
2x + 3y - 7 = 0
To find the point of intersection, we need to solve the system of equations and the result will be the point of intersection (x,y)
![x-2y+1=0\\x= 2y-1](https://tex.z-dn.net/?f=x-2y%2B1%3D0%5C%5Cx%3D%202y-1)
Now we substitute x in the second equation:
![2x+3y-7=0\\2(2y-1)+3y-7=0\\4y-2+3y-7=0\\7y-9=0\\y=9/7](https://tex.z-dn.net/?f=2x%2B3y-7%3D0%5C%5C2%282y-1%29%2B3y-7%3D0%5C%5C4y-2%2B3y-7%3D0%5C%5C7y-9%3D0%5C%5Cy%3D9%2F7)
Now we substitute y in our first equation.
.
The point of intersection is (11/7, 9/7)
b) x -2y +11 =0
-x + 2y - 13 =0
We are going to follow the same procedure:
![x-2y+11=0\\x=2y-11](https://tex.z-dn.net/?f=x-2y%2B11%3D0%5C%5Cx%3D2y-11)
![-(2y-11)+2y-13=0\\-2y+11+2y-13=0\\0y=2\\0=2](https://tex.z-dn.net/?f=-%282y-11%29%2B2y-13%3D0%5C%5C-2y%2B11%2B2y-13%3D0%5C%5C0y%3D2%5C%5C0%3D2)
Since this system of equations doesn't have a solution, the system has no point of intersection.
Answer:
1/6
Step-by-step explanation:
The product will only be of the required form if the two chosen factors are of the form (x +by) and (x -by).
For the factor (x+y), there is also a factor (x-y) on the list. For the factor (x+5y), there is no factor (x-5y) available.
So, of the (4·3)/2 = 6 possible ways to choose two expressions from the four given expressions, only one pair of the 6 will have a product of the required form.
The probability is 1/6.
1099 square inches hope this helps
Answer:
C
Step-by-step explanation:
There are 100%. When divided by 5 you get twenty percent. 9 times 5 equals 45.