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3 years ago

1. Write the equation of the line best fit

Mathematics

1 answer:

navik [9.2K]3 years ago

7 0

Hmmmm interesting I really don’t know but

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I need help proving this ASAP

Ket [755]

Answer:

See explanation

Step-by-step explanation:

We want to show that:

$\tan(x + \frac{3\pi}{2} ) = - \cot \: x$

One way is to use the basic double angle formula:

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{ \sin(x) \cos( \frac{3\pi}{2} ) + \cos(x) \sin( \frac{3\pi}{2}) }{\cos(x) \cos( \frac{3\pi}{2} ) - \sin(x) \sin( \frac{3\pi}{2}) }$

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{ \sin(x) ( 0) + \cos(x) ( - 1) }{\cos(x) (0) - \sin(x) ( - 1) }$

We simplify further to get:

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{ 0 - \cos(x) }{0 + \sin(x) }$

We simplify again to get;

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = \frac{- \cos(x) }{ \sin(x) }$

This finally gives:

$\frac{ \sin(x + \frac{3\pi}{2} ) }{\cos(x + \frac{3\pi}{2} )} = - \cot(x)$

6 0

3 years ago

the ratio of girls to boys in theater class is 2 to 3. there are 28 girls in theater class.what is the total number of students

EleoNora [17]

Answer:

I believe there are 70 students in the theater!

Step-by-step explanation:

In the ratio 2:3 going to 28:? there is a pattern. You multiply 2 by 14 to get to 28, so if you multiply 3 by 14 you get 42. Add 42 to 28 for the total amount of students in class!

Have a nice night!

8 0

2 years ago

Read 2 more answers

What is the approximate area of a sector given 3.71 radians with a radius of 45 m

IrinaVladis [17]

Answer: 3,756.375

<u>Step-by-step explanation:</u>

A = $\frac{1}{2}$ r²θ

= $\frac{1}{2}$ (45)²(3.71)

= 3,756.375

5 0

3 years ago

How do u figure -11/4+1/2

worty [1.4K]

Answer:

-2 1/4 or -9/4, depending if the question says simplified or not.

Step-by-step explanation:

-11/4 + 1/2

-11/4 + 2/4=-9/4

-9/4= -2 1/4

4 0

3 years ago

Kerry wants to remodel his house by knocking down a wall between two adjacent rectangular rooms the dimensions of the rooms are

Monica [59]

This Answer is:

4x^2+18x+18

3 0

3 years ago