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3 years ago

Here’s another one for you math lovers!

Mathematics

2 answers:

allsm [11]3 years ago

4 0

Answer:

y = 1x + -20

Step-by-step explanation:

I am not 100% sure on my answer, I just started linear relationships, and 20 units would be removed from the y axis for every 1 on the x axis.

adelina 88 [10]3 years ago

4 0

Answer:

y = -20x + 47

Step-by-step explanation:

2 points on the chart:

(0, 47) and (1, 27)

Slope (m):

m= (y2-y1)/(x2-x1)

m= (27 - 47)/(1 - 0)

m= (-20)/1

m = -20

y - y1 = m(x - x1)

y - 47 = -20(x - 0)

y - 47 = -20x

y = -20x + 47

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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

3 years ago

5c/6= 10 I need help for this its due soon ‍♀️

siniylev [52]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Mimi jarred 8 liters of jam after 2 days. How many days does Mimi need to spend making jam

Soloha48 [4]

Answer:

Step-by-step explanation:

8/2 = 4

4 x 5 = 20

8 0

3 years ago

The elevator is a business center has a weight limit of 1800 pounds assume the average person weighs 160 pounds and has 3 pounds

marta [7]

11 people. 160+3 = 163. 1800/163 = 11.0429. Since you can not have a part of a person you have to round down to 11

3 0

3 years ago

THE SALES TAX ON A TABLE SAW IS $14.85 WHAT IS THE PURCHASE PRICE OF THE TABLE SAW BEFORE TAX IF SALES TAX IS 5.5%

vfiekz [6]

Answer:$0.81675

55/1000*$14.85=$0.81675

Step-by-step explanation:

4 0

2 years ago