Answer: -337° + 360° = 23°
Step-by-step explanation:
To find a positive and a negative angle coterminal with a given angle, you can add and subtract 360°.
-337° + 360° = 23°
(I Hope You Pass)
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We are given two points of a line
(-2, -2) and (1,4)
Equation of line:
Firstly , we will find slope
(-2, -2) and (1,4)
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%20m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%20)
![m=\frac{4+2}{1+2}](https://tex.z-dn.net/?f=%20m%3D%5Cfrac%7B4%2B2%7D%7B1%2B2%7D%20%20)
![m=2](https://tex.z-dn.net/?f=%20m%3D2%20%20)
now, we can find equation of line
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=%20y-y_1%3Dm%28x-x_1%29%20%20)
now, we can plug values
and we get
![y+2=2(x+2)](https://tex.z-dn.net/?f=%20y%2B2%3D2%28x%2B2%29%20%20)
![2x-y+2=0](https://tex.z-dn.net/?f=%202x-y%2B2%3D0%20%20)
Distance:
now, we can use distance formula
![d=\frac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}](https://tex.z-dn.net/?f=%20d%3D%5Cfrac%7B%7Cax_0%2Bby_0%2Bc%7C%7D%7B%5Csqrt%7Ba%5E2%2Bb%5E2%7D%7D%20%20%20)
firstly , we will find a and b
a=2 and b=-1
point is (6,-1)
so, xo=6 and yo=-1
we can plug values
and we get
![d=\frac{|2*6-1*-1+2|}{\sqrt{(2)^2+(-1)^2}}](https://tex.z-dn.net/?f=%20d%3D%5Cfrac%7B%7C2%2A6-1%2A-1%2B2%7C%7D%7B%5Csqrt%7B%282%29%5E2%2B%28-1%29%5E2%7D%7D%20%20%20)
![d=\frac{15}{\sqrt{5}}](https://tex.z-dn.net/?f=%20d%3D%5Cfrac%7B15%7D%7B%5Csqrt%7B5%7D%7D%20%20%20)
...........Answer
This is the concept of arithmetic. To calculate the percentage of time life has existed we proceed as follows;
According to history:
The age of earth is 4.6 billion years
the age of life is as it appeared from unicellular is 3.8 billion years.
thus the percentage of the above will be:
3.8/4.6 x 100
=0.82609x100
=82.609%
Let w be the width
And let h be the length
h = w + 3
w * h = 28
w(w+3) = 28
w^2 + 3w = 28
Use a calculator (or use the quadratic formula) to get w=4
To find h, just add w by 3.
You get 7.
The dimensions of the rectangle is 4 by 7 cm.
Have an awesome day! :)