Verify
(2cos2x)/(sin2x) - cotx - tanx = -2tanx

Answers

Answer 1
Answer: Remember:

\boxed{sin(2x)=2.sinx.cosx}\n \n and\n \n \boxed{cos(2x)=cos^2x-sin^2x}


(2cos2x)/(sin2x)-cotx-tanx=\n \n (2(cos^2x-sin^2x))/(2sinx.cosx)-(cosx)/(sinx)-(sinx)/(cosx)=\n \n (cos^2x-sin^2x)/(sinx.cosx)-(cosx)/(sinx)-(sinx)/(cosx)=\n \n (cos^2x-sin^2x-cos^2x-sin^2x)/(sinx.cosx)=\n \n (-2sin^2x)/(sinx.cosx)=\n \n (-2sinx)/(cosx)=-2.tanx

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How can the additive inverse be used to evaluate the problem below? –3 – (–6)
Because 3 + (–6) is an equivalent expression, the answer is –3.
Because 3 + (–6) is an equivalent expression, the answer is 3.
Because –3 + 6 is an equivalent expression, the answer is –3.
Because –3 + 6 is an equivalent expression, the answer is 3.

Answers

Answer: Because –3 + 6 is an equivalent expression, the answer is 3.

Step-by-step explanation:

We know that the additive inverse property says that the additive inverse of any arbitrary number x is a number which when added to x results 0.

For any real number, it generally reverses its sign.

i.e. Additive inverse of x = -x such that x+(-x)=x-x=0

The given problem : -3-(-6)

Using additive inverse property, the additive inverse of-6=6

\Rightarrow\ -3-(-6)=-3+6\n=6+(-3)...............................\text{[Commutative property]}\n=6-3\n=3

addative invesre means adding the invese is same as subtracting the other (???)
confusing

-3-(-6)=-3+6=3

last one

researchers wish to test the effect of living environment on cholesterol level they take a sample of people from a rural area and a sample of people from an urban area and compare their cholesterol levels. what would be the best statistical test for them to utilize? group of answer choices two-sample t-test anova linear regression chi-square

Answers

To test the effect of living environment on cholesterol levels using samples from rural and urban areas, the best statistical test to utilize would be the two-sample t-test.

The two-sample t-test is appropriate in this case because it compares the means of two independent groups (rural and urban residents) to determine if there is a significant difference between their cholesterol levels.

This test will help researchers determine if living environment has an impact on cholesterol levels.

To know more about statistical tests refer here :

brainly.com/question/30577860#

#SPJ11

PLZ HELP IS DUE TODAYYY!! ‼️‼️ (there’s a pic of the problem)

Answers

Answer: x--1

Step-by-step explanation:

When you look at the tables the only x that is the same and gives the same answer is -1.

How do I find the domain?

Answers

domain is the set of numbers you can use for the equaiton

remember you can't divide by zero, or take the squaer root of a negtive number (we don't have sqrts in this quesiton so don't worry about last one)

so you can't divide by 0
domain =all real number except those that make divide by zero

where is that?
x-1=0
x=1

when x=1, we can't allw that

domain=all real numbers except 1

Solve the system using substitution. Show your work.
y=-4x+2
x-2y=23

Answers

Answer:

1. y = -4x + 2

Now, we can substitute this expression for y into the second equation:

2. x - 2y = 23

Substitute the value of y from equation 1 into equation 2:

x - 2(-4x + 2) = 23

Now, simplify and solve for x:

x + 8x - 4 = 23

Combine like terms:

9x - 4 = 23

Add 4 to both sides:

9x = 27

Divide by 9:

x = 3

Now that we have found the value of x, substitute it back into equation 1 to find y:

y = -4x + 2

y = -4(3) + 2

y = -12 + 2

y = -10

So, the solution to the system of equations is:

x = 3

y = -10

How would you write y = –3x2 + 12x – 21 in vertex form?

Answers

The vertex form of that expression would be y = 3 ( x +2 )squared - 25. This is done by transporting first the -21 to the other side then simplifying the 3(x2 + 4x). Then making the "x2 + 4x" a perfect binomial we need to add 4 and that makes it "x2 + 4x + 4". Then after that we now have the vertex form of y = 3 ( x +2 )squared - 25