Y+1 = -2x+2 (distribute)
Y=-2x + 1 (isolate y)
Answer:
4.5
Step-by-step explanation:
I think it will work if you Divide 54 over 12 = 4.5
Answer:1/12
Step-by-step explanation:
5/12 + 1/12 = 6/12. When u simplify it it equals 1/2
The fact that alternate interior angles MNR and QMN are congruent to each
other and vertical angles SNL and MNR are congruent to each other would help Kari prove that the measure of
angle QMN is equal to the measure of angle SNL. I am hoping that
this answer has satisfied your query and it will be able to help you in your
endeavor, and if you would like, feel free to ask another question.
Answer:
![h\neq 7.5](https://tex.z-dn.net/?f=h%5Cneq%207.5)
k = -4
Step-by-step explanation:
Given system of equations are,
-3x-3y = h
-4x + ky = 10
We have to find the values of h and k such that system of equations has no solution.
The standard form of system of equation in two variables can be given by,
![a_1x+b_1y+c_1=0](https://tex.z-dn.net/?f=a_1x%2Bb_1y%2Bc_1%3D0)
![a_2x+b_2y+c_2=0](https://tex.z-dn.net/?f=a_2x%2Bb_2y%2Bc_2%3D0)
And condition for the system of equations has no solution is given by,
![\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba_1%7D%7Ba_2%7D%3D%5Cdfrac%7Bb_1%7D%7Bb_2%7D%5Cneq%20%5Cdfrac%7Bc_1%7D%7Bc_2%7D)
So, by comparing the standard form of equations with given equations, the condition such that system has no solution can be written as,
![\dfrac{-3}{-4}=\dfrac{-3}{k}\neq \dfrac{h}{10}](https://tex.z-dn.net/?f=%5Cdfrac%7B-3%7D%7B-4%7D%3D%5Cdfrac%7B-3%7D%7Bk%7D%5Cneq%20%5Cdfrac%7Bh%7D%7B10%7D)
![=>\dfrac{-3}{-4}=\dfrac{-3}{k}](https://tex.z-dn.net/?f=%3D%3E%5Cdfrac%7B-3%7D%7B-4%7D%3D%5Cdfrac%7B-3%7D%7Bk%7D)
=> k = -4
and ![\dfrac{-3}{-4}\neq \dfrac{h}{10}](https://tex.z-dn.net/?f=%5Cdfrac%7B-3%7D%7B-4%7D%5Cneq%20%5Cdfrac%7Bh%7D%7B10%7D)
![=>\ \dfrac{-3\times 10}{-4}\neq h](https://tex.z-dn.net/?f=%3D%3E%5C%20%5Cdfrac%7B-3%5Ctimes%2010%7D%7B-4%7D%5Cneq%20h)
![=>\ h\neq \dfrac{30}{4}](https://tex.z-dn.net/?f=%3D%3E%5C%20h%5Cneq%20%5Cdfrac%7B30%7D%7B4%7D)
![=>\ h\neq 7.5](https://tex.z-dn.net/?f=%3D%3E%5C%20h%5Cneq%207.5)
So, the value of h and k for above given system of equations is
and k = -4.