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Readme [11.4K]
3 years ago
9

How many real number solutions does the equation have? 0=3x2+18x+27

Mathematics
2 answers:
swat323 years ago
7 0
It has only one solution 
Morgarella [4.7K]3 years ago
4 0
3(x²+6x+9)=0
3(X+3)(x+3)=0
x=-3 so one solution
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Write the first trigonometric expression in terms of the second expression. Cot(x); sin(x)
Alina [70]

The first trigonometric expression cot x and sin x in terms of the second expression is one over tan x and one over cosec x.

<h3>What is trigonometry?</h3>

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

Write the first trigonometric expression in terms of the second expression.

The cotangent can be written as

\cot x= \dfrac{1}{\tan x}

And the sine can be written as

\sin x = \dfrac{1}{\csc x}

More about the trigonometry link is given below.

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7 0
2 years ago
Transform the equation formulated into standard form ax²+bx+c=0​
nekit [7.7K]

Answer:

ax^2 + bx + c = 0

Here is a specific example:

5x^2 - 3x + 2 = 0

In other words:

You have zero on the right.

On the left, you have the powers of “x” in descending order.

8 0
2 years ago
Solve 2csc^2x-2cscx-1=0 <br> for 0° ≤ x ≤ 360°
umka21 [38]

Answer:

Step-by-step explanation:

2 csc²x-2 csc x-1=0

or

\frac{2}{sin^2x} -\frac{2}{sin x} -1=0\\multiply~by~sin^2x\\2-2sin~x-sin^2x=0\\sin^2x+2sinx-2=0\\sin ~x=\frac{-2 \pm\sqrt{2^2-4*1*(-2)} }{2*1} \\=\frac{-2 \pm\sqrt{4+8} }{2} \\=\frac{-2 \pm\sqrt{4*3} }{2} \\=\frac{-2 \pm2\sqrt{3} }{2} \\=-1\pm\sqrt{3} \\|sin~x| \le ~1\\so~sin~x=-1+\sqrt{3} \\sin~x=\sqrt{3} -1\\x=sin^{-1}(\sqrt{3} -1) \approx 47.06^\circ,180-47.06\\or~x=47.06^\circ,132.94^\circ

6 0
2 years ago
Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by x squared over 324 minus
olchik [2.2K]

The width of the cooling tower at the base of the structure will be A. 36 meters.

<h3>How to calculate the width?</h3>

From the information given, the towers walls are modeled by x²/324 - (y² - 90)²/1600.

Therefore, the width of the cooling tower at the base of the structure will be:

= 2 × ✓324

= 2 × 18

= 36

In conclusion, the width is 36 meters.

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3 0
1 year ago
What is the common factor among xy2 and x2y ?
Nikolay [14]

Answer:

xy.

..

..

..

..

hope it helps

7 0
2 years ago
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