The distance formula is: d = sqrt( (x2 - x1)2 + (y2 - y1)2 )
For this problem, let (-5, -4) be the "first" point, so x1 = -5 and y2 = -4
and let (-6, 4) be the "second" point, so x2 = -6 and y2 = 4.
Then: d = sqrt( (-6 - -5)2 + (4 - -4)2 ) = sqrt( (-1)2 + (8)2 ) = sqrt( 1 + 64 ) = sqrt( 65)
The distance formula is just the Pythagorean Theorem applied to an x-y graph.
You would get the same final answer if you let (-5, -4) be the second point and (-6, 4) be the first point.
1. a
2. c
3. b
hope this helps
The answer to this problem is simple all you have to do is pemdas and you get the answer 0.6
Answer: All Real Number
Step-by-step explanation:
This is a system of equation, and generally, there are three ways to solve:
- elimination
- substitution
- augmented matrix
Here, we are going to use elimination
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Given
-2x-y=1
-6x=3y+3
Put them in the same order
-2x-y=1
-6x-3y=3
Multiply 3 on both sides for the first equation
-6x-3y=3
-6x-3y=3
We subtract the first equation from the second equation
0=0
The answer will be All Real Numbers, which means any real number will fit this equation. In the graphing method, these two equations will overlap each other.
Hope this helps!! :)
Please let me know if you have any questions
The interest is 11.62% compounded monthly. Converting this to an effective rate:
i = (1 + 0.1162/12)^12 - 1
i = 0.1226
We use this formula to solve the problem:
455.96 = (23860(1.0811) + 1695 + 228 - C) [0.0811(1+0.0811)^3]/[(1+0.0811)^3 - 1]
Solving for C
C = 4413.13
The cost of her car was $4,413.13.
