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tigry1 [53]
3 years ago
13

Directions: Write the expression for each sentence below.

Mathematics
1 answer:
mr Goodwill [35]3 years ago
8 0

The given sentences expressed in algebraic expressions are:

1. "sum of 6 and t" is represented as: 6 + t

2. "product of s and 12" is represented as: 12s

3. "difference of 6 from 10" is represented as: 10 - 6 = 4

4. "quotient of 6 divided by t" is represented as: 6/t

5. "17 less than 20" is represented as: 20 - 17 = 3

6. 2s + s

7. 10 - r

8. 4s + 7x

9. (17 - 12)/2 = 5/2

10. (2)(x - 10)

11. (7)(2/2) = 7

12. (8)(6) - x = 48 - x

<h3>Representing Sentences with Algebraic Expressions</h3>
  • Phrases are represented using algebraic expressions using numbers and mathematical operation sign.
  • Quotient means division.
  • Product means multiplication.
  • Sum means addition, and so on.

Thus, the following sentences given can be expressed as follows:

1. "sum of 6 and t" is represented as: 6 + t

2. "product of s and 12" is represented as: 12s

3. "difference of 6 from 10" is represented as: 10 - 6 = 4

4. "quotient of 6 divided by t" is represented as: 6/t

5. "17 less than 20" is represented as: 20 - 17 = 3

6. 2s + s

7. 10 - r

8. 4s + 7x

9. (17 - 12)/2 = 5/2

10. (2)(x - 10)

11. (7)(2/2) = 7

12. (8)(6) - x = 48 - x

Learn more about algebraic expressions on:

brainly.com/question/2164351

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Answer:

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Step-by-step explanation:

Here is the complete question :

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5 0
3 years ago
An extremely large sink hole has opened up in a field just outside of the city limits. It is difficult to measure across the sin
abruzzese [7]
Triangle ABC and triangle DCE are congruent, so line DE = line AB

Use the cosine rule to find angle ACB
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5 0
3 years ago
Please help!! Write in simplest radical form: √7/8 Show how you figured it out
12345 [234]

Given expression: \sqrt{\frac{7}{8}}.

\mathrm{Apply\:radical\:rule\:}\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}

=\frac{\sqrt{7}}{\sqrt{8}}

\sqrt{8}=\sqrt{2^2\cdot \:2}=2\sqrt{2}

\frac{\sqrt{7}}{\sqrt{8}} =\frac{\sqrt{7}}{2\sqrt{2}}

\mathrm{Rationalize\:}\frac{\sqrt{7}}{2\sqrt{2}}

\mathrm{Multiply\:by\:the\:conjugate}\:\frac{\sqrt{2}}{\sqrt{2}}

=\frac{\sqrt{7}\sqrt{2}}{2\sqrt{2}\sqrt{2}}

=\frac{\sqrt{14}}{4}

=\frac{\sqrt{14}}{4}.

3 0
3 years ago
How do I simplify the following to "a+bi" form: (1+2i)^3
damaskus [11]

Answer:

Expand it.

(1+2i)^3 is equal to (1+2i)(1+2i)(1+2i).

Multiply everything out (being sure to multiply <em>every</em> term. (1+2i) * (1+2i) = 1+2i+2i+4i^2.

i is the square root of negative one, so i^2 is just -1. 1+2i+2i-4 is what you get from the first two, so now simplify that:

1-4 + 2i+2i = (-3+4i) and now multiply that by (1+2i):

(-3+4i) * (1+2i) = -3 - 6i +4i +8i^2.

Simplify again, and the answer is: -11-2i

Step-by-step explanation:

I hope this helps - really my only tip is don't spend time thinking about what i is, that just hurts your brain. Just remember that i^2 is equal to negative one, and treat it like regular multiplication and you will be fine.

7 0
2 years ago
Write the equation of the line in fully simplified slope-intercept form.
Lina20 [59]

Answer:

y=-6x+2

Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

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Given the graph, we determine which points we could use. For example, we could use the two points (0,2) and (1,-4):

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Therefore, the slope of the line is -6. Plug this into y=mx+b:

y=-6x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

Recall that the y-intercept occurs when x=0. Given the point (0,2), we know that the y-intercept is 2. Plug this into y=-6x+b:

y=-6x+2

I hope this helps!

5 0
3 years ago
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