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Alex73 [517]
3 years ago
5

16. Solve the equation. Check the solution.

Mathematics
1 answer:
harina [27]3 years ago
8 0
Hi there

a/(a² - 36) + 2/(a-6) = 1/(a+6)
a/(a+6)(a-6) + 2/(a-6) = 1/(a+6)
Now we need to multiply the terms by (a+6)(a-6)
a + 2(a+6) = 1(a-6)
a + 2a + 12 = a - 6
3a + 12 = a - 6
3a - a = -6 - 12
2a = -18
Divide both sides by 2
2a/2 = -18/2
a = -9
Thus, The correct option is A


I hope that's help !

Good luck !

 
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Jess is 12 years less than half as old as Mac. The sum of their age is 87. How old is each person?
laila [671]

Answer:

The age of each person is:

  • Jess is <u>21</u> years old.
  • Mac is <u>66</u> years old.

Step-by-step explanation:

To solve this problem you must make two equations. First, we name Jess and Mac as variables:

j = Jess age.

m = Mac age.

Now we make the equations, the first equation has the information "Jess is 12 years less than half as old as Mac":

1. j=(\frac{m}{2})-12

The second equation has the information "The sum of their age is 87":

2. j+m=87

Now, we replace the first equation in the second one:

  • (\frac{m}{2}-12) +m=87

And we operate:

  • \frac{m-24}{2} +m=87
  • \frac{m-24+2m}{2}=87
  • \frac{3m-24}{2}=87

We clear the variable m:

  • 3m-24=87*2
  • 3m=174+24
  • m=\frac{198}{2}
  • m=66

How we know Mac's age is 66 years old, we can identify Jess' age with the second equation:

  • j+m=87

We replace the value of m:

  • j+66=87

And clear the variable j:

  • j=87-66
  • j=21

In the end, Jess's age is 21 years old.

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3 years ago
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krok68 [10]
My answer would be (0,5) because that seems to be where this scatter plot starts.

Hope this helps!
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cestrela7 [59]

Answer:

put more powder and mix it because its a   soultable  and lemonade so the more mixures more of it and that wont change the taste

An auxiliary verb is a verb that adds functional or grammatical meaning to the clause in which it occurs, so as to express tense, aspect, modality, voice, emphasis, etc. Auxiliary verbs usually accompany an infinitive verb or a participle, which respectively provide the main semantic content of the clause. Step-by-step explanation:

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3 years ago
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Ksenya-84 [330]

Answer:

yes to both

Step-by-step explanation:

For a relationship to be a function then each value of x must relate to exactly one unique value of y.

This is the case in this table as

2 → 76

4 → 152

6 → 228

All unique values thus a function

To determine if it is linear then the rate of change is constant for each set of ordered pairs. This is measured using the slope formula.

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (2, 76) and (x₂, y₂ ) = (4, 152 ) ← ordered pair from table

m = \frac{152-76}{4-2} = \frac{76}{2} = 38

Repeat with (x₁, y₁ ) = (4, 152) and (x₂, y₂ ) = (6, 228)

m = \frac{228-152}{6-4} = \frac{76}{2} = 38

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Which of these is the best definition of an ellipse?
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Answer:

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Step-by-step explanation:

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