F(x)=-4x+15 g(x) = 3x-6

Find the approximate value of the circumference of a circle with the given radius. Use = 3.14. Round your results to one more de

seraphim [82]

C = 2 * 3.14 * 4 = 25.1 to nearest tenth ( 1 decimal place)

4 0

3 years ago

Read 2 more answers

Futhe Mathematics <img src="https://tex.z-dn.net/?f=%28Cos%20%7B%7D%5E%7B4%7Dt%20-Sin%20%7B%7D%5E%7B4%7Dt%20%29%20%20%5Cdiv%2

Nastasia [14]

Answer:

cos2t/cos²t

Step-by-step explanation:

Here the given trigonometric expression to us is ,

$\longrightarrow \dfrac{cos^4t - sin^4t }{cos^2t }$

We can write the numerator as ,

$\longrightarrow \dfrac{ (cos^2t)^2-(sin^2t)^2}{cos^2t }$

Recall the identity ,

$\longrightarrow (a-b)(a+b)=a^2-b^2$

Using this we have ,

$\longrightarrow \dfrac{(cos^2t + sin^2t)(cos^2t-sin^2t)}{cos^2t}$

Again , as we know that ,

$\longrightarrow sin^2\phi + cos^2\phi = 1$

Therefore we can rewrite it as ,

$\longrightarrow \dfrac{1(cos^2t - sin^2t)}{cos^2t}$

Again using the first identity mentioned above ,

$\longrightarrow \underline{\underline{\dfrac{(cost + sint )(cost - sint)}{cos^2t}}}$

Or else we can also write it using ,

$\longrightarrow cos2\phi = cos^2\phi - sin^2\phi$

Therefore ,

$\longrightarrow \underline{\underline{\dfrac{cos2t}{cos^2t}}}$

And we are done !

$\rule{200}{4}$

Additional info :-

Derivation of cos²x - sin²x = cos2x :-

We can rewrite cos 2x as ,

$\longrightarrow cos(x + x )$

As we know that ,

$\longrightarrow cos(y + z )= cosy.cosz - siny.sinz$

So that ,

$\longrightarrow cos(x+x) = cos(x).cos(x) - sin(x)sin(x)$

On simplifying,

$\longrightarrow cos(x+x) = cos^2x - sin^2x$

Hence,

$\longrightarrow\underline{\underline{cos (2x) = cos^2x - sin^2x }}$

$\rule{200}{4}$

7 0

2 years ago

Pls answer 26 and show work

Phoenix [80]

The transformed equation y = -(x - 2)^2 - 3 compared to the parent function involves translating the parent function to the right by 2 units, reflecting the function across the y-axis and translating the function 3 units down

<h3>How to compare the function to its parent function?</h3>

The equation of the transformed function is given as:

y = -(x - 2)^2 - 3

While the equation of the parent function is given as

y = x^2

Start by translating the parent function to the right by 2 units.

This is represented as:

(x, y) = (x - 2, y)

So, we have:

y = (x - 2)^2

Next, reflect the above function across the y-axis

This is represented as:

(x, y) = (-x, y)

So, we have:

y = -(x - 2)^2

Lastly, translate the above function 3 units down

This is represented as:

(x, y) = (x, y - 3)

So, we have:

y = -(x - 2)^2 - 3

Hence, the transformed equation y = -(x - 2)^2 - 3 compared to the parent function involves translating the parent function to the right by 2 units, reflecting the function across the y-axis and translating the function 3 units down

Read more about function transformation at:

brainly.com/question/8241886

#SPJ1

7 0

2 years ago

A bacteria population is growing exponentially with a

Ad libitum [116K]

Population change is 4/3

4 0

3 years ago

1 Find the probability of drawing a 7 of diamonds. ( enter your answer as a fraction.)

makkiz [27]

Answer:

1. 1/26

2. 2/52

Not sure if this is what you meant for sure.

8 0

3 years ago