3.Slope: 10 Y int: 5
4. Slope: 5 Y int: 10
6.Slope: 1/3 Y int: 3.5
7.Slope: 4/3 Y int: -1
8.Slope: 2/-4 Y int: -1
The way you do this is the Y int is where the line crosses through the y-axis. Finding the slope is finding the rise over run (y/x). It's easy to find when you know how to.
Use 4. as an example. Start where at (-3,-5) or (-2,0). Each 'rise' up 5 and 'runs' one block over, giving you the slope of 5/1 or 5 simplified.
7 is harder, but start at (-3,-5). It 'rises' up 4, then 'runs' 3, also giving you the y int, as it crosses the axis. As the rise is 4 and run is 3, it creates the slope 4/3.
Answer:
Step-by-step explanation:
y -5x = 2
10x -3y =9
substitute x for 3/5 and y for -1
-1 -(5*3/5) = 2
(10*3/5) -3(-1) =9
simplify :
-1 -3 =2
6+3 =9
-4 =2 Not true
9=9 True
Conclusion: the point (3/5, -1) is not a solution to the given system of equations
15/20
convert to a decimal
0.75
multiply 0.75 by 100 to convert to a percentage
0.75 * 100
simplify 0.75 * 100
your answer is 75%
Answer:
- 3/2 - 3/4
- 5/3 - 11/12
- 5/4 - 1/2
- 7/5 - 13/20
- 5/6 - 1/2
- 9/7 - 15/28
- 9/8 - 3/8
- 9/10 - 3/20
- 9/11 - 3/44
Step-by-step explanation:
We did a systematic search for subtraction problems of this type, eliminating ones that are too trivial, such as 1/1 - 1/4 and equivalents of those with integers added, such as 3/1 - 9/4. Even so, there are an infinite number of possibilities. some of the ones involving larger numbers in the range we looked at include ...
- 41/45 - 29/180
- 41/49 - 17/196
- 41/53 - 5/212
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A reasonable approach to doing this by hand seems to be to choose a denominator for the minuend, then a denominator 4 times that value for the subtrahend. Express 3/4 using the latter denominator, and find two numbers that differ by that numerator, one of which is divisible by 4, but not by 8.
<u>Example</u>: Choose 13 as the minuend denominator. Then 52 is the subtrahend denominator, and the difference you need to create is 39/52. The smallest odd number we can add to 39 to make it divisible by 4 but not 8 is 5. So, we can use (39+5)/52 and 5/52 as our numbers that differ by 3/4. In reduced form, that subtraction is ...
11/13 - 5/52
Note that if you choose an even denominator, then the exact procedure will vary depending on what power of 2 is a factor of the denominator.
