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3 years ago

Which property is illustrated, 1n = n

Mathematics

1 answer:

steposvetlana [31]3 years ago

5 0

1n=n Answer:

Step-by-step explanation:

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Which equation is correct

Anika [276]

For this case we have to define trigonometric relations of rectangular triangles that:

The cosine of an angle is given by the leg adjacent to the angle on the hypotenuse of the triangle.

The sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle.

Then, according to the figure we have:

$Sin (G) = \frac {15} {17}\\Cos (G) = \frac {8} {17}$

Answer:

$Sin (G) = \frac {15} {17}$

Option D

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3 years ago

Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2).

arsen [322]

Answer:

$y=-2x+2$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

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

$m=\frac{y_2-y_1}{x_2-x_1}$ where the two given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (-1, 4) and (0, 2)

$=\frac{2-4}{0-(-1)}\\=\frac{-2}{0+1}\\=\frac{-2}{1}\\= -2$

Therefore, the slope of the line is -2. Plug this into $y=mx+b$ :

$y=-2x+b$

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

$y=-2x+b$

Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.

One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.

Plug this back into the equation:

$y=-2x+2$

I hope this helps!

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3 years ago

Write a third-degree polynomial function whose zeros are 1, −3, and 4.

WARRIOR [948]

Recall that zeroes can be transformed into factors by subtracting them from x. This gives us the following factors:

(x - 1)(x + 3)(x - 4)

Now, if you multiply the first two factors together, you get the following:

(x² + 2x - 3)

Multiply that by the last factor, (x - 4), and you get this:

(x³ + 2x² - 3x - 4x² - 8x + 12)

This can be simplified:

(x³ - 2x² - 11x + 12)

And there's your final answer. Hope this helped!

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3 years ago

Read 2 more answers

What is the word form of 348500

Roman55 [17]

Three hundred forty eight thousand five hundred.

Hope this helps!

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3 years ago

In a survey of 22,000 people, 14,300 responded that salary was the most important consideration in their ideal career. What perc

Nat2105 [25]

(14,300 x 100) / 22,000 = 65%
100% - 65% = 35%

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