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OLga [1]
3 years ago
8

Why do axioms exist in geometry

Mathematics
1 answer:
insens350 [35]3 years ago
7 0
Our three axioms A1,A2 and A3 for affine plane geometry are consistent since there is at least one model for these axioms. However this system is incomplete because in this system there exist relevant statements which cannot be either proven or disproven. Consider for example the statement A7.
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Graph f(x) = log5 (x-3).
Natali5045456 [20]

Step-by-step explanation:

We want to graph:

f(x) =\log_{5}(x - 3)

We first graph the parent function

g(x) =\log_{5}(x)

This parent function has x-intercept at (1,0) and it is asymptotic to the y-axis.

We then shift the graph of the parent function 3 units right, to obtain the graph of

f(x) =\log_{5}(x - 3)

The new x-intercept will be (4,0) and vertical asymptote will now be x=3.

See attachment.

6 0
3 years ago
Y+4x=0 how can I solve to know if it's a direct variation?
galina1969 [7]

subtract 4x from both sides and you get y=4x

y varies directly with x. When x is 1, y is 1/4. when x is 4, y is 1. when x is 8, y is 2. So on and so on. Sorry if this is confusing. Direct variations is one of my weak points

7 0
2 years ago
Completely factor the polynomial. 16x 2 - 25
Sunny_sXe [5.5K]

Answer:

(4x-5)(4x+5)

Step-by-step explanation:

16x^2 - 25

Rewriting

(4x)^2 - 5^2

We recognize that this is the difference of squares

a^2 - b^2 = (a-b) (a+b)

(4x)^2 - 5^2 = (4x-5)(4x+5)

5 0
3 years ago
Suppose 12 quarts of pure antifreeze is mixed with 8 quarts of a solution that is 72% antifreeze. Answer the questions below. Do
ra1l [238]
(a)  

12+0.72(8)

12+5.76

17.76 qts of antifreeze

(b)

100(12+8(.72))/(12+8)

100(12+5.76)/20

100(17.76)/20

5(17.76)

88.8%
4 0
3 years ago
Help me with equations
Mrrafil [7]
Hey there! 

Assuming that "f" =  y

So, let's solve your function,  shall we? 

y(-1) = 2 \\ \\ \\ -y= 2 \\ \\ DivideBy(-1)  \\ \\ \\   \frac{-y}{1}  =  \frac{2}{-1} \\ \\ \\ CancelOut:  \frac{-y}{1}  \\ \\ \\ Keep:  \frac{2}{-1}  \\ \\ \\ \\ Answer: y = -2 (option D)

Good luck on your assignment and enjoy your day! 

~LoveYourselfFirst:)
6 0
3 years ago
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