Step-by-step explanation:
Hey there!!!
Here,
Given, A line passes through point (2,-2) and is perpendicular to the y= 5x+2.
The equation of a straight line passing through point is,
![(y - y1) = m1(x - x1)](https://tex.z-dn.net/?f=%28y%20-%20y1%29%20%3D%20m1%28x%20-%20x1%29)
Now, put all values.
![(y + 2) = m1(x - 2)](https://tex.z-dn.net/?f=%28y%20%20%2B%202%29%20%3D%20m1%28x%20-%202%29)
It is the 1st equation.
Another equation is;
y = 5x +2........(2nd equation).
Now, Comparing it with y = mx + c, we get;
m2=5
As per the condition of perpendicular lines,
m1×m2= -1
m1 × 5 = -1
Therefore, m2= -1/5.
Keeping the value of m1 in 1st equation.
![(y + 2) = \frac{ - 1}{5} (x - 2)](https://tex.z-dn.net/?f=%28y%20%2B%202%29%20%3D%20%20%5Cfrac%7B%20-%201%7D%7B5%7D%20%28x%20-%202%29)
Simplify them.
![5(y + 2) = - x + 2](https://tex.z-dn.net/?f=5%28y%20%2B%202%29%20%3D%20%20-%20x%20%2B%202)
![5y + 10 = - x + 2](https://tex.z-dn.net/?f=5y%20%2B%2010%20%3D%20%20-%20x%20%2B%202)
![x + 5y + 8 = 0](https://tex.z-dn.net/?f=x%20%2B%205y%20%2B%208%20%3D%200)
Therefore the required equation is x+5y+8= 0.
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
keeping in mind that when the logarithm base is omitted, the base 10 is assumed.
![\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ \log(x)=2\implies \log_{10}(x)=2\implies 10^2=x\implies 100=x](https://tex.z-dn.net/?f=%5Ctextit%7Bexponential%20form%20of%20a%20logarithm%7D%20%5C%5C%5C%5C%20%5Clog_a%28b%29%3Dy%20%5Cqquad%20%5Cimplies%20%5Cqquad%20a%5Ey%3D%20b%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Clog%28x%29%3D2%5Cimplies%20%5Clog_%7B10%7D%28x%29%3D2%5Cimplies%2010%5E2%3Dx%5Cimplies%20100%3Dx)
The two-way table is attached.
We know that 63 people took the survey, and 22 of them were left-handed. This means that 63-22=41 of them are right handed.
Out of the 63 total, 37 are left brain dominant; this means that 63-37=26 are right brain dominant.
Of the 26 that are right brain dominant, 21 are right handed; this means 26-21=5 are left handed.
Of the 22 left-handed people, 5 are right brain dominant; this means 22-5 = 17 are left brain dominant.
Of the 37 left brain dominant people, 17 are left handed; this means 37-17=20 are right handed.
Answer:
56
Step-by-step explanation:
Lowest Common Multiple= 56