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olasank [31]
3 years ago
9

Find the x-intercept for the line represented by this equation.

Mathematics
1 answer:
k0ka [10]3 years ago
3 0
3(0) = 2x + 6
( 0 = 2x + 6 ) - 6
( -6 = 2x ) /2
x = -3
The answer is B. (-3, 0).
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The length of a rectangle is the sum of the width and 3. The area of the rectangle is 54 units. What is the width, in units, of
zimovet [89]

Answer:

Let a be the width and b the length

a+3=b

a*b=54

a(a+3)=54

a^2+3a-54=0

a=6

8 0
3 years ago
Use the given information to find the exact value of the trigonometric function
eimsori [14]
\begin{gathered} \csc \theta=-\frac{6}{5} \\ \tan \theta>0 \\ \cos \frac{\theta}{2}=\text{?} \end{gathered}

Half Angle Formula

\cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}}\tan \theta>0\text{ and csc}\theta\text{ is negative in the third quadrant}\begin{gathered} \csc \theta=-\frac{6}{5}=\frac{r}{y} \\ x^2+y^2=r^2 \\ x=\pm\sqrt[\square]{r^2-y^2} \\ x=\pm\sqrt[\square]{6^2-(-5)^2} \\ x=\pm\sqrt[\square]{36-25} \\ x=\pm\sqrt[\square]{11} \\ \text{x is negative since the angle is on the 3rd quadrant} \end{gathered}\begin{gathered} \cos \theta=\frac{x}{r}=\frac{-\sqrt[\square]{11}}{6} \\ \cos \frac{\theta}{2}=\pm\sqrt[\square]{\frac{1+\cos\theta}{2}} \\ \cos \frac{\theta}{2}is\text{ also negative in the 3rd quadrant} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{1+\frac{-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{\frac{6-\sqrt[\square]{11}}{6}}{2}} \\ \cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}} \\  \\  \end{gathered}

Answer:

\cos \frac{\theta}{2}=-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}

Checking:

\begin{gathered} \frac{\theta}{2}=\cos ^{-1}(-\sqrt[\square]{\frac{6-\sqrt[\square]{11}}{12}}) \\ \frac{\theta}{2}=118.22^{\circ} \\ \theta=236.44^{\circ}\text{  (3rd quadrant)} \end{gathered}

Also,

\csc \theta=\frac{1}{\sin\theta}=\frac{1}{\sin (236.44)}=-\frac{6}{5}\text{ QED}

The answer is none of the choices

7 0
1 year ago
INCREDIBLY URGENT!!
Gemiola [76]

Answer:

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Step-by-step explanation:

3 0
3 years ago
A blank outcome is a meaningful result of an experiment as determined by statistical analysis
Alisiya [41]
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3 0
3 years ago
Question 1 WRONG With what number must 3.475817 be multiplied in order to obtain the number 34,758.17? A 100 1,000 10,000 D 100,
lbvjy [14]

Answer:

1 - Option C - 10,000

2 - 3x+5 will be 12 more than 3x-7.

Step-by-step explanation:

1) To find : With what number must 3.475817 be multiplied in order to obtain the number 34,758.17?

Solution :

The number 3.475817 is multiplied by number to obtain 34,758.17.

As we see that, the decimal is moved four places to the right.

Which means the number is multiplied by 10000.

i.e. 3.475817\times 10000=34,758.17

Therefore, option C is correct.

2) To find : How much greater is the value of 3x+5 than the value of 3x−7?

Solution ;

Assuming that x is the same value in each equation,

In order to determine the difference between the two values,

We ignore the 3x part as it is the same on both of the equations.

So, from 5 to -7 i.e. 7+5=12.

Therefore, 3x+5 will be 12 more than 3x-7.

5 0
3 years ago
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