Write 927 and 15 hundredths in standard form

Given its parent function f(x)=(1/4)^x what is the equation of the function shown

OLEGan [10]

I'M not sure sorry i just keep getting
1/4x

3 0

2 years ago

cos theta = 4/5, 0˚< theta < 90˚ use the information given to find sin2theta, cos2theta, and tan 2theta

NikAS [45]

First calculate $\sin\theta$ .

$\sin^2\theta+\cos^2\theta=1\\\\\sin^2\theta=1-\cos^2\theta\\\\\sin^2\theta=1-\left(\dfrac{4}{5}\right)^2\\\\\\\sin^2\theta=1-\dfrac{16}{25}\\\\\\\sin^2\theta=\dfrac{9}{25}\quad|\sqrt{(\dots)}\\\\\\\sin\theta=\sqrt{\dfrac{9}{25}}\\\\\\\boxed{\sin\theta=\dfrac{3}{5}}$

We take positive value of sinθ because 0° < θ < 90°
Now we could calculate sin2θ, cos2θ and tan2θ:

$\sin2\theta=2\sin\theta\cos\theta=2\cdot\dfrac{3}{5}\cdot\dfrac{4}{5}=\dfrac{2\cdot3\cdot4}{5\cdot5}=\dfrac{24}{25}\\\\\\\cos2\theta=\cos^2\theta-\sin^2\theta=\left(\dfrac{4}{5}\right)^2-\left(\dfrac{3}{5}\right)^2=\dfrac{16}{25}-\dfrac{9}{25}=\dfrac{7}{25}\\\\\\
\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}=\dfrac{\frac{24}{25}}{\frac{7}{25}}=\dfrac{24\cdot25}{7\cdot25}=\dfrac{24}{7}=3\dfrac{3}{7}$

5 0

2 years ago

Read 2 more answers

A dragon can fly 50 feet in 2. Second. About how far can adragon fly in 11 secs

andrey2020 [161]

Answer:

275

Step-by-step explanation:

7 0

2 years ago

The x intercept of a line is -5 and the y intercept of the line I’d -2.what is the equation of the line?

Ivan

Hey!

There are two ways to solve this problem, I have showed you both of them below:

Method 1 -:

So we know that the x-intercept of the line is at (-5,0) and the y-intercept is at (0,-2). The most common form of the equation of a line is the slope-intercept form which is written as y=mx+b. In this equation, y and x are two points on the line, m is the slope and b is the y-intercept.

We are given the value of b which is -2. We also know two points on the line so we can find the slope. The formula for slope is (y2-y1)/(x2-x1). We can now plug in the points into the equation and get (0-(-2)/(-5-0). This simplifies to -2/5. That is your slope.

Now that we know this, we have solved for everything we need for writing the equation of the line. The equation of the line is:

y = (-2/5)x - 2

Method 2 -:

This method is a bit easier but will still give you the same result. Since you already know the y-intercept as -2, you know the value of b. You also have atleast one point so you can just plug it into the equation y = mx + b.

Now you can just plug in a point for x and y. We also know the x-intercept and that might be easier to use for solving. The x-intercept is (-5,0) and we can plug this into the equation to get 0 = m(-5) + (-2). We can now rewrite this as 0 = -5m - 2.

The next thing we do is solve for x:

0 = -5m - 2

2 = -5m

-2/5 = m

Now we know that m = -2/5, we can put this into the equation along with the y-intercept to get our answer.

y = (-2/5)x - 2

6 0

2 years ago

(05.05)On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(5, 2). What is the length of

Cerrena [4.2K]

Answer: 11 units

Step-by-step explanation:

Given: On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(5, 2).

To find : length of Side RT of the polygon.

Using distance formula to find distance between (a,b) and (c,d):

$d=\sqrt{(d-b)^2+(c-a)^2}$

Length of RT = $\sqrt{(2-2)^2+(5-(-6))^2}$

$\\\\=\sqrt{0+(5+6)^2}\\\\= \sqrt{11^2}\\\\=11$

hence, the length of RT = 11 units.

6 0

3 years ago