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Vladimir [108]
3 years ago
13

Use the x-intercept method to find all real solutions of the equation. x^3-9x^2+11x+21=0

Mathematics
1 answer:
IgorLugansk [536]3 years ago
7 0
We must graph y=x^3-9x^2+11x+21. Please, see the attached file.
Then we see were the graph cuts the x-axis, and these values of x are the real solutions of the given equation:

The real solutions of the given equation are:x = -1, 3, and 7

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One of the acute angles of a right triangle is 36° find the other acute angles​
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Step-by-step explanation:

An acute angle is an angle less or equal to 90 degrees.

let the other angle be x.

x + 36 = 90

grouping like terms

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X = 54 degrees

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4 years ago
Find the measure of angle y. Round your answer to the nearest hundredth. Right triangle
e-lub [12.9K]
<h3>The measure of angle y is 35.68 degrees</h3>

<em><u>Solution:</u></em>

Given that,

hypotenuse 12

Opposite 7

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y is unknown and is between the hypotenuse and adjacent side

The figure is attached below

In a right triangle, the sine of the angle is the ratio of the side opposite to the angle to the hypotenuse

Therefore,

sin\ y = \frac{opposite}{hypotenuse}\\\\sin\ y = \frac{7}{12}\\\\sin\ y = 0.5833\\\\y = sin^{-1}\ 0.5833\\\\Use\ arcsin\ calculator\\\\y = 35.6829 \\\\y \approx 35.68

Thus measure of angle y is 35.68 degrees

7 0
3 years ago
Simplified <br> 2(x + 8) + 3(x -9)
slava [35]

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Step-by-step explanation:

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2(x + 8) + 3(x - 9)

Step 2: Distribute

2x + 16 + 3x - 27

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Step 4: Combine like terms (constants)

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