To Euclid, a postulate is something that is so obvious it may be accepted without proof.
A. A straightedge and compass can be used to create any figure.
That's not Euclid, that's just goofy.
B. A straight line segment can be drawn between any two points.
That's Euclid's first postulate.
C. Any straight line segment can be extended indefinitely.
That's Euclid's second postulate.
D. The angles of a triangle always add up to 180.
That's true, but a theorem not a postulate. Euclid and the Greeks didn't really use degree angle measurements like we do. They didn't really trust them, I think justifiably. Euclid called 180 degrees "two right angles."
Answer: B C
You would do $12*16 to see what they have to charge for the dinner
Answer:
a)
![f(x) = \frac{4}{x-8} - 3.5](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B4%7D%7Bx-8%7D%20-%203.5)
Step-by-step explanation:
The y intercept of g(x) is the value of g when x = 0.
In this problem
![g(x) = \sqrt{x+4} - 6](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Csqrt%7Bx%2B4%7D%20-%206)
The y-intercept is
![g(0) = \sqrt{0+4} = \sqrt{4} - 6 = 2 - 6 = -4](https://tex.z-dn.net/?f=g%280%29%20%3D%20%5Csqrt%7B0%2B4%7D%20%3D%20%5Csqrt%7B4%7D%20-%206%20%3D%202%20-%206%20%3D%20-4)
a)
![f(x) = \frac{4}{x-8} - 3.5](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B4%7D%7Bx-8%7D%20-%203.5)
The y-intercept is:
![f(0) = \frac{4}{0-8} - 3.5 = -0.5 - 3.5 = -4](https://tex.z-dn.net/?f=f%280%29%20%3D%20%5Cfrac%7B4%7D%7B0-8%7D%20-%203.5%20%3D%20-0.5%20-%203.5%20%3D%20-4)
This is the correct answer
b)
![f(x) = -\frac{4}{x} - 1](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-%5Cfrac%7B4%7D%7Bx%7D%20-%201)
The y-intercept is
![f(0) = -\frac{4}{0} - 1](https://tex.z-dn.net/?f=f%280%29%20%3D%20-%5Cfrac%7B4%7D%7B0%7D%20-%201)
This is an asymptote
c)
![f(x) = 2|x+2|](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%7Cx%2B2%7C)
The y-intercept is
![f(0) = 2|0+2| = 4](https://tex.z-dn.net/?f=f%280%29%20%3D%202%7C0%2B2%7C%20%3D%204)
d)
![f(x) = |x - 4|](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%7Cx%20-%204%7C)
The y-intercept is
[tex]f(0) = |0-4| = |-4| = 4.
Answer:
525 truckloads
Step-by-step explanation:
First we need to find the volume of the pool. This lets us know how much dirt must be moved.
25*19*5 = 2,375 cubic feet total.
Divide that by 4.53 cubic feet for each load, and we get 524.282 truckloads. Round up to the nearest integer for a final answer of 525 truckloads.
It is already 261.8. tenths place is one digit after the decimal.