Answer:
129
Step-by-step explanation:
you have to take 51 and subtract it from 180.
Domain will be x + 6 > 0 -> x > -6
Range will be all real numbers, due to the range of log function
Answer:
The diameter of the circle must be equal to the diagonal of the square.
Step-by-step explanation:
In order to draw a square inscribed with in the circle, the diameter of the circle must be equal to the diagonal of the square.
a) Draw a circle with center O
b) Draw the diameter of the circle with end points A and B
c) Draw perpendicular bisector of diameter AB intersecting the circle at point C and D
d) Now connect point A, B, C and D
The proportional equation for the the number of gallons of yellow paint, y needed for any amount of blue paint, b is:
<h3>Proportional equation:</h3>
- A <em>proportional equation</em> is modeled by:
![y(b) = ab](https://tex.z-dn.net/?f=y%28b%29%20%3D%20ab)
- In which a is the constant of proportionality.
In this problem, the parameters are:
of a gallon of blue paint, hence ![b = \frac{1}{2}](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%7B1%7D%7B2%7D)
of a gallon of yellow paint, hence
.
Then, to find the constant of proportionality:
![y(b) = ab](https://tex.z-dn.net/?f=y%28b%29%20%3D%20ab)
![\frac{4}{5} = \frac{1}{2}a](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7Da)
![a = \frac{8}{5}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B8%7D%7B5%7D)
Hence, the equation is:
![y(b) = \frac{8}{5}b](https://tex.z-dn.net/?f=y%28b%29%20%3D%20%5Cfrac%7B8%7D%7B5%7Db)
You can learn more about proportional equation at brainly.com/question/13112448