Here the line passes through (0,0) and (1,3).
First we need to find the slope , and for that we need to use the following formula
![m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=%20m%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%20%20)
On substituting the values from the point, we will get
![m=\frac{3-0}{1-0}=3](https://tex.z-dn.net/?f=%20m%3D%5Cfrac%7B3-0%7D%7B1-0%7D%3D3%20%20)
Now we will use slope intercept form, which is
![y = mx+ b](https://tex.z-dn.net/?f=%20y%20%3D%20mx%2B%20b%20)
Where m is the slope and b is the y intercept
And on substituting the values of x and y from the point (1,3) and slope, m = 3, we will get
![3 = 3(1)+b](https://tex.z-dn.net/?f=%203%20%3D%203%281%29%2Bb%20)
![3=3+b](https://tex.z-dn.net/?f=%203%3D3%2Bb%20)
b =0
Substituting the values of m and b in the slope intercept form, we will get
![y= 3x](https://tex.z-dn.net/?f=%20y%3D%203x%20)
Option 1- y= 53x+10
Option 2- y= 55x
55x+10=53x
-53x -53x
2x=10
x=5
149
How to:
A four sided shape equals to 360 degrees
<span>exact value of sin 157.5 without using a calculator
sin(157.5)=sin(315/2)
Identity: sin(x/2)=±√[(1-cosx)/2]
select positive identity since 175 is in the 2nd quadrant where sin>0
sin(315/2)=√[(1-cos315)/2]
cos 315=cos45 in quadrant IV=√2/2
sin(315/2)=√[(1-√2/2)/2]=√[(2-√2)/4]=√(2-√2)/2
sin(157.5)=√(2-√2)/2
check using calculator:
sin157.5º≈0.382...
√(2-√2)/2≈0.382...</span>
2x + x = 54 wher x = number of girls
3x = 54
x = 18
18 girls