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horrorfan [7]
3 years ago
14

Without actually calculating the cubs, find the value of ( 27) ³ +(-15) +(+12) ³​

Mathematics
2 answers:
Vika [28.1K]3 years ago
5 0

<em>(</em><em>2</em><em>7</em><em>)</em><em>^</em><em>3</em><em>+</em><em>(</em><em>-</em><em>1</em><em>5</em><em>)</em><em>+</em><em>(</em><em>1</em><em>2</em><em>)</em><em>^</em><em>3</em>

<em>=</em><em> </em><em>2</em><em>7</em><em>×</em><em>2</em><em>7</em><em>×</em><em>2</em><em>7</em><em>-</em><em>1</em><em>5</em><em>+</em><em>1</em><em>2</em><em>×</em><em>1</em><em>2</em><em>×</em><em>1</em><em>2</em>

= <em>1</em><em>9</em><em>6</em><em>8</em><em>3</em><em>-</em><em>1</em><em>5</em><em>+</em><em>1</em><em>7</em><em>2</em><em>8</em>

<em>=</em><em> </em><em>2</em><em>1</em><em>3</em><em>9</em><em>6</em><em> </em><em> </em><em>answer</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em>

Sati [7]3 years ago
3 0

(27)³ + (-15)³ + (12)³

Let, x = 27, y = -15, z = 12

Then, x + y + z = 27 - 15 + 12 = 0

We know the algebraic identity, if a + b + c = 0 then a³ + b³ + c³ = 3abc

Thus, (27)³ + (-15)³ + (12)³ = 3×(27)(-15)(12)

= <u>-14580</u><u> </u>

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borishaifa [10]
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____________________________________________ You would take the "ln" (that is, "natural logarithm") of EACH side of the equation:

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A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?
KatRina [158]

Answer:

y=3x+4

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is equal to 0)

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

m=\frac{y_2-y_1}{x_2-x_1} where two points that the line passes through are (x_1,y_1) and (x_2,y_2)

We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.

Plug these points into the equation

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Therefore, the slope of the line is 3. Plug this into y=mx+b

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

The y-intercept is given; it is 4. Plug this back into y=3x+b

y=3x+4

I hope this helps!

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