To subtract fractions, we need an lcd( lowest common denominator)
8. the lcd is 42 because it’s the smallest number that 6 and 7 are both factors of. the lcd is the bottom of the fraction
to make the denominator of (4/7) 42, we will multiply the top and bottom by 6 and we get (24/42)
to make the denominator of (3/6) 42, we will multiply the top and bottom by 7 and we get (21/42)
these two numbers now have the same denominator so we subtract them
24/42 - 21/42 = 3/42 which simplifies to 1/14
9. since these fractions already have a common denominator, we will make them mixed fractions
-5(2/7) as a mixed fraction. first multiply 5*7 which is 35. now add 2 which is 37. our mixed fraction is -37/7
-1(5/7) as a mixed fraction. multiple 1*7 which is 7. now add 5 which is 12. our mixed fraction is -12/7
now subtract (-37/7) - (12/7) and we get -49/7 which simplifies to -7
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The length of the rope needed is 15 feet
Given the following parameters;
- Height of the pole = 9 foot
- The distance from the <u>rope away from the base </u>of the pole is 12 feet
Required
To get the length of the rope, you will use the pythagoras theorem expressed as:
Substituting the given parameters:
c² = 9² + 12²
c² =81 + 144
c² = 225
c = √225
c = 15 feet
Therefore the length of the rope needed is 15 feet
Learn more on Pythagoras theorem here: brainly.com/question/231802
Answer:
n= 2/-7
Step-by-step explanation:
2/n = -7
Multiply by n: 2= -7n
Divide by -7: n= 2/-7, or n= -0.286
