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3 years ago

Find the slope of line passing through the two points, (3, 0) and (8,0)

1 answer:

6 0

The answer would be 0
Due to it being a horizontal line the slope could have any x coordinates but the y would always be 0

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Multiply (2x^2-3x+1)*(x^2-4x-3)

lianna [129]

$(2 {x}^{2} - 3x + 1)( {x}^{2} - 4 - 3) = \\ = 2 {x}^{4} - 8 {x}^{2} - 6 {x}^{2} - 3 {x}^{3} + 12x + 9x + {x }^{2} - 4 - 3 = \\ = 2 {x}^{4} - 3 {x}^{3} - 13 {x}^{2} + 21x - 7$

8 0

3 years ago

Suppose cos(x)= -1/3, where π/2 ≤ x ≤ π. What is the value of tan(2x). EDGE

AVprozaik [17]

Answer:

Step-by-step explanation:

We are given that:

$\displaystyle \cos x = -\frac{1}{3}\text{ where } \pi /2 \leq x \leq \pi$

And we want to find the value of tan(2<em>x</em>).

Note that since <em>x</em> is between π/2 and π, it is in QII.

In QII, cosine and tangent are negative and only sine is positive.

We can rewrite our expression as:

$\displaystyle \tan(2x)=\frac{\sin(2x)}{\cos(2x)}$

Using double angle identities:

$\displaystyle \tan(2x)=\frac{2\sin x\cos x}{\cos^2 x-\sin^2 x}$

Since cosine relates the ratio of the adjacent side to the hypotenuse and we are given that cos(<em>x</em>) = -1/3, this means that our adjacent side is one and our hypotenuse is three (we can ignore the negative). Using this information, find the opposite side:

$\displaystyle o=\sqrt{3^2-1^2}=\sqrt{8}=2\sqrt{2}$

So, our adjacent side is 1, our opposite side is 2√2, and our hypotenuse is 3.

From the above information, substitute in appropriate values. And since <em>x</em> is in QII, cosine and tangent will be negative while sine will be positive. Hence:

<h2> $\displaystyle \tan(2x)=\frac{2(2\sqrt{2}/3)(-1/3)}{(-1/3)^2-(2\sqrt{2}/3)^2}$ </h2>

Simplify:

$\displaystyle \tan(2x)=\frac{-4\sqrt{2}/9}{(1/9)-(8/9)}$

Evaluate:

$\displaystyle \tan(2x)=\frac{-4\sqrt{2}/9}{-7/9} = \frac{4\sqrt{2}}{7}$

The final answer is positive, so we can eliminate A and B.

We can simplify D to:

$\displaystyle \frac{2\sqrt{8}}{7}=\frac{2(2\sqrt{2}}{7}=\frac{4\sqrt{2}}{7}$

So, our answer is D.

7 0

3 years ago

Which equation is equivalent to n + 4 = 11? *

dangina [55]

Answer:

(n + 4) *2 = 11 * 2

Step-by-step explanation:

(n + 4) *2 = 11 * 2

Divide both sides by 2

$\frac{(n + 4) *2}{2} = \frac{11 * 2}{2}$

n + 4 = 11

5 0

3 years ago

What is the value of the slope of the graph of distance versus time, and what does the slope represent?

Phantasy [73]

To find the slope of the graph you pick any piece of the line, and divide the vertical difference between its ends by the horizontal difference between its ends. If the graph is distance versus time then the slope represents the speed.

7 0

3 years ago

5a+c=-8a, <br> solve for a

VMariaS [17]

Answer:

a=-1/13c

Step-by-step explanation:

5a+8a=-c

13a=-c

a=-1/13c

6 0

2 years ago

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