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2 years ago

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Mathematics

1 answer:

muminat2 years ago

3 0

Answer:

(0,4)

Y =2.5X +4

Step-by-step explanation:

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option 1 drop down are: even-odd identity, quotient identity, Pythagorean identity, double-number identity.option 2 drop down ar

motikmotik

Answer:

The equation is given below as

$\frac{\cos2x}{\cos x}=\cos x-\sin x\tan x$

Step 1:

We will work on the left-hand side, we will have

$\begin{gathered} \cos x-\sin x\tan x \\ \text{recall that,} \\ Quoitent\text{ identity is} \\ \tan x=\frac{\sin x}{\cos x} \end{gathered}$

By substituting the identity above, we will have

$\begin{gathered} \cos x-\sin x\tan x=\cos x-\frac{\sin x.\sin x}{\cos x}=\cos x-\frac{\sin^2x}{\cos x} \\ \end{gathered}$

Here, we will make use of the quotient identity

Step 2:

By writings an expression, we will have

$\begin{gathered} \cos x-\sin x\tan x=\cos x-\frac{\sin x.\sin x}{\cos x} \\ \cos x-\sin x\tan x=\frac{\cos^2x-\sin^2x}{\cos x} \end{gathered}$

Here, we will use the definition of subtraction

$\cos x-\frac{\sin^2x}{\cos x}$

Step 3:

We will apply the double number identity given below

$\begin{gathered} \cos 2\theta=\cos (\theta+\theta)=\cos ^2\theta-\sin ^2\theta \\ \cos 2x=cos(x+x)=\cos ^2x-\sin ^2x \end{gathered}$

By applying this, we will have

$\frac{\cos^2x-\sin^2x}{\cos x}=\frac{\cos2x}{\cos x}$

Here, we will use the double number identity

$\frac{\cos^2x-\sin^2x}{\cos x}$

5 0

1 year ago

What is the equation of the line in the following graph? 1)y=x+2

Levart [38]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (2, 0) and (-2, -4). Substitute:

$m=\dfrac{-4-0}{-2-2}=\dfrac{-4}{-4}=1$

Therefore we have the equation of a line

$y=1x+b\to y=x+b$

Put the coordinates of the point (2, 0) to the equation:

$0=2+b$ <em>subtract 2 from both sides</em>

$-2=b\to b=-2$

Answer: $\boxed{y=x-2}\to\boxed{3)}$

8 0

3 years ago

Please graph y=−1/2. thank you!

Dominik [7]

Answer:

There would be a straight line at -0.5 on the graph.

Step-by-step explanation:

Hope this helps

4 0

3 years ago

Find the slope of:<br> (-4,5) and (-4, 2)

MA_775_DIABLO [31]

Answer:

the answer is Undefined

4 0

2 years ago

Suppose the line of best fit for some data points has a slope of 4.915. If the mean of the x-coordinates of the data points is 1

aleksley [76]

The y-intercept of the linear equation of best fit, considering the slope and the means, is of -60.428.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For a line of best-fit, the y-intercept is given by:

$b = \overline{y} - m\overline{x}$

The parameters in this problem are given as follows:

$m = 4.915, \overline{x} = 14.347, \overline{y} = 10.088$

Then:

$b = 10.088 - 4.915(14.347) = -60.428$

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

5 0

1 year ago