Answer: 85% out of how many questions.
Step-by-step explanation:
Answer: B
Step-by-step explanation: 6^2 = 36
36*4= 144
144-7= 137
Answer:
(1,1)
Step-by-step explanation:
we have
----> equation A
----> equation B
we know that
The solution of the system of equations is the intersection point both graphs
The intersection point both graphs is the point (1,1)
see the given graph
therefore
The solution is the point (1,1)
Remember that
if a ordered pair is a solution of a system of equations then the ordered pair must satisfy both equations of the system
<u><em>Verify</em></u>
Substitute the value of x=1 and y=1 in each equation and analyze the result
<em>Equation A</em>
![1=-2(1)+3](https://tex.z-dn.net/?f=1%3D-2%281%29%2B3)
---> is true
so
The ordered pair satisfy the equation A
<em>Equation B</em>
---> is true
so
The ordered pair satisfy the equation B
therefore
The ordered pair (1,1) is a solution of the system because satisfy both equations
Answer:
![\displaystyle y =\frac{1}{2}x+5](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%3D%5Cfrac%7B1%7D%7B2%7Dx%2B5)
Step-by-step explanation:
<u>Equation of the line</u>
The slope-intercept form of a line is given by:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Being:
m = the slope of the line
b = the y-intercept
We can also use the point-slope form of the line:
![y - k=m(x-h)](https://tex.z-dn.net/?f=y%20-%20k%3Dm%28x-h%29)
Being:
(h,k) = A point that belongs to the line
Two lines of slopes m1 and m2 are perpendicular if:
![m_1.m_2=-1](https://tex.z-dn.net/?f=m_1.m_2%3D-1)
We are given the line:
![y=-2x+5](https://tex.z-dn.net/?f=y%3D-2x%2B5)
Whose slope is m1=-2
Thus, the perpendicular line has a slope of:
![\displaystyle m_2=-\frac{1}{m_1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m_2%3D-%5Cfrac%7B1%7D%7Bm_1%7D)
![\displaystyle m_2=-\frac{1}{-2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m_2%3D-%5Cfrac%7B1%7D%7B-2%7D)
![\displaystyle m_2=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m_2%3D%5Cfrac%7B1%7D%7B2%7D)
The required line contains the point (-8,1), thus the equation is:
![\displaystyle y - 1=\frac{1}{2}(x+8)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20-%201%3D%5Cfrac%7B1%7D%7B2%7D%28x%2B8%29)
Removing the parentheses:
![\displaystyle y - 1=\frac{1}{2}x+\frac{1}{2}\cdot 8](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20-%201%3D%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%208)
Adding 1:
![\displaystyle y =\frac{1}{2}x+\frac{1}{2}\cdot 8+1](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%3D%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%208%2B1)
Operating:
![\displaystyle y =\frac{1}{2}x+4+1](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%3D%5Cfrac%7B1%7D%7B2%7Dx%2B4%2B1)
![\mathbf{\displaystyle y =\frac{1}{2}x+5}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cdisplaystyle%20y%20%3D%5Cfrac%7B1%7D%7B2%7Dx%2B5%7D)