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Alecsey [184]
4 years ago
14

Somebody help me with this math, please! 15 Points for TWO thoughtful, well-explained, correct answers.

Mathematics
2 answers:
Sauron [17]4 years ago
6 0
In both parts, we have to apply "Proportionality Theorem" which tells, ratio of corresponding part should be equal.

1) CD/BD = FE/GE
8/24 = 6/GE

GE = 6*24 / 8
GE = 18 

2) BC/BD = EF/EG
14/BD = 5/15
BD = 42

Now, CD = BD - BC
CD = 42 - 14 = 24

Hope this helps!
Elodia [21]4 years ago
6 0
1. You would set up a proportion to solve. BD/CD=GE/FE substitute the variables with numbers 24/8=GE/6 then you cross multiply and get 144=8GE divide both sides by 8 and get 18=GE.

2. First you need to find BD. BD/BC=EG/EF substitute the variables with numbers. BD/14=15/5 cross multiply 5BD=210 divide both sides by 5 and get BD=42. 42-14=24. CD=24.
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lions [1.4K]

Answer:

The second choice is the answer.

Step-by-step explanation:

In math, there are two types of numbers: real numbers and imaginary numbers. Imaginary numbers build upon the premise that the equation

x^2 +1 = 0 has no real solution. It is said that one of the imaginary solutions to this equation is <em>i</em>, or √-1. Real numbers are numbers that can represent the "distance" of a line. Real numbers have subsets known as natural numbers, whole numbers, integers, natural numbers. It also has a region of irrational numbers.

Natural numbers are numbers you use to count w/ your fingers (1, 2, 3 ...)

Whole numbers are natural numbers and 0 (0, 1, 2, 3 ...)

Integers are whole numbers and their opposites ( -1, 0, 1, ...)

Rational numbers integers and numbers that can be put into a fraction of two integers. for example, 1/2 is a fraction of the integers 1 and 2 ( -1, -1/2, 0, 1/2, 1 ...)

Irrational numbers are numbers that cannot be written as a simple fraction or cannot be written as terminating or repeating decimals (√2, π, <em>e, ...</em>).

The answer is not the first choice because it has whole numbers.

The answer is not the third choice because it has integers.

The answer is not the fourth choice because it has irrational numbers.

The answer is not the fifth choice because it has imaginary numbers.

The second choice is the one that has rational numbers and is the answer.

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As the question points out, the equation is indeed separable:

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{6x+9}{12y^2+16y+6}

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Integrate both sides to get

2(2y^3+4y^2+3y)=3(x^2+3x)+C

\implies F(x,y)=\underbrace{(-3x^2-9x)}_{G(x)}+\underbrace{4y^3+8y^2+6y}_{H(y)}=C

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Aleonysh [2.5K]

Answer:

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8 0
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