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.
The answer is B.
This is because A is incorrect, Zach number of minutes didnt increase by an equal factor every month.
C and D are incorrect, Victoria's methods aren't exponential, but Zach's are.
So that leaves the only reasonable answer which is B.
Answer:
x= -3
Step-by-step explanation:
20=14-2x
-14 -14
6 = -2x
÷-2 ÷-2
-3 =x
Answer:
![\frac{7}{8}\pi](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B8%7D%5Cpi)
Step-by-step explanation:
observe
||a–b+c|| = ||a+b+c||
(a-b+c)² = (a+b+c)²
(a+b+c)² – (a-b+c)² = 0
((a+b+c)+(a-b+c))((a+b+c)–(a-b+c)) = 0
(2a+2c)(2b) = 0
(a+c)b = 0
a•b + c•b = 0
||a||×||b||×cos(π/8) + ||c||×||b||×cos(θ) = 0
![\cos(\theta)=-\frac{||a||\times ||b|| \times \cos(\frac{\pi}{8})}{||c||\times ||b||}=-\cos(\frac{\pi}{8})\\ \theta=\frac{7}{8}\pi](https://tex.z-dn.net/?f=%5Ccos%28%5Ctheta%29%3D-%5Cfrac%7B%7C%7Ca%7C%7C%5Ctimes%20%7C%7Cb%7C%7C%20%5Ctimes%20%5Ccos%28%5Cfrac%7B%5Cpi%7D%7B8%7D%29%7D%7B%7C%7Cc%7C%7C%5Ctimes%20%7C%7Cb%7C%7C%7D%3D-%5Ccos%28%5Cfrac%7B%5Cpi%7D%7B8%7D%29%3C%2Fp%3E%3Cp%3E%5C%5C%20%5Ctheta%3D%5Cfrac%7B7%7D%7B8%7D%5Cpi)
First you would need to Simplify <span>{3}^{2}<span>3<span>2</span></span></span> to <span>99
Next you would need to : </span>Use Negative Power Rule =9÷31
<span>
then you would need to use a ÷ b/c = a * c/b and get 9*3
And you will lastly get 27</span>