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Firdavs [7]
3 years ago
6

M is between L and N. LM = 7x-1, MN = 2x +4, and LN = 12. find the value of ‘x’ an determine if M is a bisector.

Mathematics
1 answer:
Sholpan [36]3 years ago
7 0

LM + MN = LN

7x - 1 + 2x + 4 = 12

9x + 3 = 12

9x = 12 - 3

9x = 9

x = 9/9

x = 1

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Is 8/6 greater than or less than 11/12
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Explain how the difference of a fraction or a rational number and its additive inverse is equal to zero.
Jobisdone [24]
This question is in reverse (in two ways): 

<span>1. The definition of an additive inverse of a number is precisely that which, when added to the number, will give a sum of zero. </span>

<span>The real problem, in certain fields, is usually to show that for all numbers in that field, there exists an additive inverse. </span>

<span>Therefore, if you tell me that you have a number, and its additive inverse, and you plan to add them together, then I can tell you in advance that the sum MUST be zero. </span>

<span>2. In your question, you use the word "difference", which does not work (unless the number is zero - 0 is an integer AND a rational number, and its additive inverse is -0 which is the same as 0 - the difference would be 0 - -0 = 0). </span>

<span>For example, given the number 3, and its additive inverse -3, if you add them, you get zero: </span>
<span>3 + (-3) = 0 </span>

<span>However, their "difference" will be 6 (or -6, depending which way you do the difference): </span>

<span>3 - (-3) = 6 </span>
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<span>(because -3 is a number in the integers, then it has an additive inverse, also in the integers, of +3). </span>

<span>--- </span>

<span>A rational number is simply a number that can be expressed as the "ratio" of two integers. For example, the number 4/7 is the ratio of "four to seven". </span>

<span>It can be written as an endless decimal expansion </span>
<span>0.571428571428571428....(forever), but that does not change its nature, because it CAN be written as a ratio, it is "rational". </span>

<span>Integers are rational numbers as well (because you can always write 3/1, the ratio of 3 to 1, to express the integer we call "3") </span>

<span>The additive inverse of a rational number, written as a ratio, is found by simply flipping the sign of the numerator (top) </span>

<span>The additive inverse of 4/7 is -4/7 </span>

<span>and if you ADD those two numbers together, you get zero (as per the definition of "additive inverse") </span>

<span>(4/7) + (-4/7) = 0/7 = 0 </span>

<span>If you need to "prove" it, you begin by the existence of additive inverses in the integers. </span>
<span>ALL integers each have an additive inverse. </span>
<span>For example, the additive inverse of 4 is -4 </span>

<span>Next, show that this (in the integers) can be applied to the rationals in this manner: </span>

<span>(4/7) + (-4/7) = ? </span>
<span>common denominator, therefore you can factor out the denominator: </span>

<span>(4 + -4)/7 = ? </span>
<span>Inside the bracket is the sum of an integer with its additive inverse, therefore the sum is zero </span>
<span>(0)/7 = 0/7 = 0 </span>

<span>Since this is true for ALL integers, then it must also be true for ALL rational numbers.</span>
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Answer:

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Step-by-step explanation:

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Which of the following is the equation of a line perpendicular to the line y =
makvit [3.9K]

Answer:

y = \frac{1}{10} x + \frac{13}{2}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 10x + 1 ← is in slope- intercept form

with slope m = - 10

Given a line with slope m then the slope of a line perpendicular to it is

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y = \frac{1}{10} x + c ← is the partial equation

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7 = \frac{1}{2} + c ⇒ c = 7 - \frac{1}{2} = \frac{13}{2}

y = \frac{1}{10} x + \frac{13}{2} ← equation of line

5 0
3 years ago
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