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Alenkasestr [34]
3 years ago
10

When we’re writing, we can use a thesaurus to find a different word with the same meaning to present an idea. How can we find di

fferent ways to present algebraic expressions without changing their meaning?

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
8 0

Answer:

Math has the particularity that it is a logical construction.

This means that we can start with an expression X (where X is an equation, not a variable)

Now we can apply a lot of "math" to this equation in such a way that we can rewrite it, but the actual "meaning" of the equation will not change.

An example of this is factoring.

For example, we can write a quadratic equation as:

a*x^2 + b*x + c.

And we also can write this as:

n*(x - k)*(x - j)

where k and j are the solutions of the equation:

a*x^2 + b*x + c  = 0.

What is the advantage of writing the equation in each form?

Well, both expressions actually represent the same thing, but the explicit information in each expression is different, so depending on what we want to do, we will choose one option or the other.

And we have lot's of different ways to express something, where we can find some ones really complex and useful, like the series of Taylor, where we can write a function as a summation of infinite terms.

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Not sure how to solve this one
Alex73 [517]

Answer:

x\approx 63.4^0

Step-by-step explanation:

In the given right triangle,

Measure of angle = x°

Opposite side of the angle = 12 units

Adjacent side of the angle = 6 units

By taking tangent ratio of the given angle,

tan(x°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

           = \frac{12}{6}

           = 2

x^0=\text{tan}^{-1}(2)}

x=63.43^0

x\approx 63.4^0

4 0
2 years ago
TVs are measured by
kondor19780726 [428]

Answer:

Step-by-step explanation:

Diagonal is 60 inches, height is 24 inches so

60^2 = 24^2 + width^2

6.25 inches

4 0
2 years ago
Write the rational number as a decimal. Show your work. 5/9 -3/8 -3/11.
Bad White [126]

I have memorized facts about fractions like these, so can tell you ...

\dfrac{5}{9}=0.5\overline{5}\\\\-\dfrac{3}{8}=-3\times 0.125=-0.375\\\\-\dfrac{3}{11}=-0.27\overline{27}

_____

A fraction with 9 as a denominator is a repeating 1-digit decimal with the decimal digit being the numerator of the fraction.

A fraction with 11 as a denominator is a repeating 2-digit decimal with the two digits being 9 times the numerator of the fraction.

1/8 = 0.125, so any multiple of 1/8 is that multiple of 0.125.

4 0
3 years ago
If f (x) = 2x + 1, then, f (3)
Mashutka [201]

Answer:

x=1

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The coordinate plane below represents a city. Points A through F are schools in the city.
Usimov [2.4K]
Part A. The technique on how to find the equation that only applies to point D and E, is to create a line or curve that only includes two of these points. In this case, I created a random parabola that isolates points C and F from the rest of the points. First, we have to find the equation of the parabola through its general forms:

(x - h)² = +/-4a(y-k)      or    (y - k)² = +/-4a(x - h)

For parabolas drawn like that in the picture, the general form is (x - h)² = +4a(y-k), where the vertex is (h,k) and a is the distance from the vertex to the focus. From the picture, the vertex is at (0,3). Then, we use point D(-2,4) to determine a:

(-2 - 0)² = +4a(4 - 3)
4a = 4

So, the equation of the parabola is:

x² = 4(y - 3)
x² = 4y - 12

Part B. Point D was already verified above. Now for point E(2,4)
x² = 4y - 12
2² ? 4(4) - 12
4 ? 4
4 = 4

Part C. For y < 7x − 4, ignore the equality symbol first and graph the line. Assign random values of x, then you get corresponding values of y. Plot them as shown in the second picture. The line is shown in red. Next, test the equation by choosing a random point. Let's choose the purple point at (4,3).

3 ? 7(4) − 4
3 ? 24
3 < 24

Thus, it applies to the purple point, and all the other areas to that area. The shaded region are all solutions of the inequality. So, Erica is only interested in points E, C and F. 

5 0
3 years ago
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