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sleet_krkn [62]
3 years ago
5

name three different pairs of fractions that have the same product when multiplied .explain how you got your answer

Mathematics
1 answer:
Deffense [45]3 years ago
8 0
\frac{5}{10}*\frac{10}{40}=\frac{50}{400}
\frac{2}{8}*\frac{2}{4}=\frac{4}{32}
\frac{1}{4}*\frac{1}{2}=\frac{1}{8}

\frac{1}{8} is obtained by multiplying \frac{1}{2} and <span>\frac{1}{4}
</span>You basically create equivelant fractions for both 1/2 and 1/4 and multiply by each other. This way you get the same result always.
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x is less than or equal to 4

Step-by-step explanation:

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The circle is inscribed in Triangle AEC. Which are congruent line segments
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Answer:

E-F and E-D

C-B and C-D

Step-by-step explanation:

The circle and triangle are as shown.  The options are:

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By drawing radius lines from the center of the circle to the tangent points B, D, and F, we can divide the triangle into 3 kites.  Therefore, only segments that are legs of the same kite are congruent.  So the answer must be E-F and E-D, and C-B and C-D.

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tim drives at an average speed of 80km per hour for 3 hours 35 minutes work out how many kilometres tim drives
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Answer:

286 2/3 km

Step-by-step explanation:

Recalling that 1 hour = 60 minutes, we convert '3 hours 35 minutes' to

3 + (35/60) hours, or 3 35/60 hours, or 3.5833 hours.

Since distance = (rate)(time),

the distance driven by tim is (80 km/hr)(3.5833 hrs) = 286 2/3 km

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How are rational functions similar to linear, quadratic, or exponential functions? How are they different? When are these simila
jeyben [28]

Answer:

See explanation below for further details.

Step-by-step explanation:

A rational consist of two real numbers such that:

\frac{a}{b} =c

If c is a polynomial with a certain grade, then, both the numerator and the denominator must be also polynomials and the grade of the numerator must be greater than denominator.

If c is linear function, that is, a first order polynomial, then a must be a (n+1)-th polynomial and b must be a n-th polynomial.

Example:

If a = x^{2} and b = x, then:

c = \frac{x^{2}}{x}

c = x

If c is a quadratic function, that is, a second order polynomial, then a must be a (n+1)-th polynomial and b must be a n-th polynomial.

Example

If a = 3\cdot x^{3} and b = x, then:

c = \frac{3\cdot x^{3}}{x}

c = 3\cdot x^{2}

But if c is an exponential, both the numerator and the denominator must be therefore exponential function and grade of each exponential function must different to the other.

Example

If a = 10^{2x} and b = 3\cdot 10^x, then:

c = \frac{10^{2\cdot x}}{3\cdot 10^{x}}

c = \frac{1}{3}\cdot 10^{2\cdot x -x}

c = \frac{1}{3}\cdot 10^x

Otherwise, c would be equal to a constant function, that is, a polynomial with a grade 0.

If a = 5\cdot e^{x} and b = -3\cdot e^{x}, then:

Example

c = \frac{5\cdot e^{x}}{-3\cdot e^{x}}

c = -\frac{5}{3}

It is worth to add that exponential functions can be a linear combination of single exponential function, similar to polynomials.

Example

5\cdot a^2\cdot x -9

7 0
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