Give the coordinates of D (-2, -4) after a 270 degrees counterclockwise rotation about the origin followed by a reflection across the x-axis

Answer:

1) 5.091

2) 54.6731

3) 2.954

4) 0.17278

5) 68.031

This is one pathway to prove the identity.

Part 1

[tex]\frac{\sin(\theta)}{1-\cos(\theta)}-\frac{1}{\tan(\theta)} = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)}{1-\cos(\theta)}-\cot(\theta) = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)}{1-\cos(\theta)}-\frac{\cos(\theta)}{\sin(\theta)} = \frac{1}{\sin(\theta)}\\\\\frac{\sin(\theta)*\sin(\theta)}{\sin(\theta)(1-\cos(\theta))}-\frac{\cos(\theta)(1-\cos(\theta))}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\[/tex]

Part 2

[tex]\frac{\sin^2(\theta)}{\sin(\theta)(1-\cos(\theta))}-\frac{\cos(\theta)-\cos^2(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{\sin^2(\theta)-(\cos(\theta)-\cos^2(\theta))}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{\sin^2(\theta)-\cos(\theta)+\cos^2(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\[/tex]

Part 3

[tex]\frac{\sin^2(\theta)+\cos^2(\theta)-\cos(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{1-\cos(\theta)}{\sin(\theta)(1-\cos(\theta))} = \frac{1}{\sin(\theta)}\\\\\frac{1}{\sin(\theta)} = \frac{1}{\sin(\theta)} \ \ {\checkmark}\\\\[/tex]

As the steps above show, the goal is to get both sides be the same identical expression. You should only work with one side to transform it into the other. In this case, the left side transforms while the right side stays fixed the entire time. The general rule is that you should convert the more complicated expression into a simpler form.

We use other previously established or proven trig identities to work through the steps. For example, I used the pythagorean identity [tex]\sin^2(\theta)+\cos^2(\theta) = 1[/tex] in the second to last step. I broke the steps into three parts to hopefully make it more manageable.

Answer:

if you learned derivative:

f'x=(x+3)(x-2)²+(x+5)(x-2)²+2(x+5)(x+3)(x-2)

  =4x³+12x²-26x-28=0

⇒x=2; =-0.84; =-4.16

⇒fx=0; =72.47; -36.97⇒fx contain (2;0); (-0.84;72.47); (-4.16;-36.97)

if x=0⇒f'x=-28<0⇒from -0.84 to 2, fx Decreasing

Step-by-step explanation:

Answer:

Line f and line G have the same slope, so they're parallel. So x is the slope

Step-by-step explanation:

Line f and line G have the same slope, so they're parallel. So x is the slope

Answer:

12h-37 >/ 86

Step-by-step explanation:

so basically the barber wants to make  a profit  of 86 dollars since profit is total revenue minus expenses then we know that the barber total revenue is 12h and the expenses for the day are 37.

Answer:

C

Step-by-step explanation:

Answer:

Please see below.

Step-by-step explanation:

f^-1 (x) essentially means the reverse.

We can substitute y for x in the equation and solve for y:

x = 4y -1

x+1 = 4y

y = (x+1)/4

so that is our answer for the first one:

f^-1(x) = (x+1)/4

We do the same trick for the second question:

x = 2y +1

x-1 = 2y

y = (x-1)/2

so the answer is f^-1(x) = (x+1)/2

The last question is slightly more complex, we can write is as:

x = 2y/(y-1)

x(y-1) = 2y

yx -x = 2y

yx = 2y + x

yx - 2y = x

y(x-2) = x

y = x/(x-2)

so the answer is x/(x-2)

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Answer:

30

Step-by-step explanation:

add 2 to 4, which =6, then divide 6 by 1/5 to get x

Answer:

Step-by-step explanation:

The ratio of light times will be the ratio of distances:

 (light time to Neptune) / (light time to Mercury)

    = (Neptune distance)/(Mercury distance)

    = (27.93×10^8 mi)/(0.3598×10^8 mi) = 27.93/0.3598

    ≈ 77.6

Answer:

7 scarves

Step-by-step explanation:

you divide 28 by 4

Answer:

20.2

Step-by-step explanation:

1/5 of 50.50 = 10.1

2/5 of 50.50 = 20.2

Answer:

Step-by-step explanation:

I don't do this question the same way as it is done in the classroom, but I will get you the right answer

Let the middle number = x

Let the smallest number = x - 2

Let the largest number = x + 2

x - 2 + x + x + 2 = 315             Combine like terms. The 2s cancel

3x = 315                                  Divide by 3

x = 105

So the middle number is 105

The smallest number is   103

The largest number is     107

Total                                  315

This method cuts out at least one step. It works best with an odd number of terms. If you have an even number, you have to use the more traditional method.

Answer:

35

Step-by-step explanation:

21.    x-18x      1 - 18, thats how many x's u have

22. 40 + 10x   divide 10 on both sides, x=_

Answer: y = 50

Step-by-step explanation:

Supplement angles are two angles that sums up to 180°. So we could interfere that (8x - 14)° and (5y + 16)° are supplement angles. But before we move on, we should first solve for x. Opposite angles are equal. So therefore the angle opposite to 8x - 14 is also equal to 8x - 14. Guess what? Corresponding angles are also considered equal. So we could then conclude as following:

5x + 34 = 8x - 14

With the equation above we can now solve for x. We first add 14 on both sides.

5x + 48 = 8x

We then substract 5x on both sides.

48 = 3x

We finally divide 3 on both sides. This gives us the value of x.

x = 16

Now that we know the value of x, we could now solve (8x - 14)°. We first start by substituting in the equation.

8(16) - 14

We then multiply 8 with 16.

128 - 14

We finally substract 14 from 128. This gives now the value of the angle

114°

Now that we know this, we could now solve for y. Like I said earlier, supplement angles add up to 180°. So our equation should go as following:

114 + (5y + 16) = 180

We first add like terms together.

5y + 130 = 180

We then substract 130 on both sides

5y = 50

We finally divide 5 on both sides of the equation.

y = 50

Answer:

50 days

Step-by-step explanation:

1/8 pound of weight = 25/4 days

8/8 pound of weight = 25/4 × 8

                                  = 200/4

                                  = 50 days

Answer:

A. 50

B. 7.28? pounds

Step-by-step explanation:

I'm sure to my answer in leter A so don't worry.

But in letter B i'm not pretty much sure.

Answer:

perpendicular lines

Step-by-step explanation:

these lines intersect and form a right angle. (90 degrees)

1, 7

just do

3, 1

2, 4

and see what you have to do to get to that mid point. you need to go down one to get to 2 from 3 and you have to go +3 to get to 4 from 1. so you need to go down 1 for x and + 3 for y

hope that made sense

Answer:

-21

Step-by-step explanation:

mn/p - n

= 4×9/(-3) - 9

= -36/3 - 9

= -12 - 9

= -21

Answer:

God

Step-by-step explanation:

Because I need points

Answer:

m         =   cd³

Step-by-step explanation:

mass of        is proportional to          the diam

sphere                                                 cubed

Symbolically, this can be written as:

  m         =   cd³

Answer:

the rate change is 3 minutes

Step-by-step explanation:

the total length of all lines is 100.

there are 2 times a d line, and 5 times an x line.

well, what we have here is an equation :

2d + 5x = 100

2d = 100 - 5x = 5×(20 - x)

d = 5/2 × (20 - x) = 50 - 5x/2

take whatever form fits best to what your teacher does in class.

Answer:

x = -4

Step-by-step explanation:

Step 1: Apply distributive property.

Step 2: Combine like terms.

Step 3: Subtract 8 from both sides.

Step 4: Divide both sides by 2.

Step 5: Check if solution is correct.

Therefore, x = -4.

Step-by-step explanation:

Given,

ratio of HI, IJ , Jk = 2 : 1 : 2

let their value be

HI = 2x

IJ = x

JK = 2x

HK = 25

according to question,

HI + IJ + JK = Hk

now, after inserting the values we got,

→ 2x + x + 2x = 25

→ 5x = 25

→ x = 25/5 = 5

→ x = 5

therefore value of,

HI = 2x → 2×5 = 10

IJ = x → 5

JK = 2x → 2×5 = 10

Hence, value of JK is 10.

hope this answers helps you dear...take care and may u have a great day ahead!

Answer:

hey how to ask questions with pictures in brainly?

Answer:

y = -1/4 -2

Step-by-step explanation:

Step-by-step explanation:

given,

30m of material cost = £210

so, cost of 1m material = 210/30 = £7

therefore, cost of 1m material is £7

now,

cost of 18m Material = 18 × 7 = 126

therefore, cost of 18m material is £126.

hope this answer helps you dear!

Answer: 126

Step-by-step explanation:

30 m of material cost 210

1 m of material cost [tex]\frac{210}{30}[/tex] Or 7

18 m of material cost 7 × 18 = 126

please give me a brainliest answer

Answer:

41

Step-by-step explanation:

If x equals 3:

13x3 is 39

39+2 is 41