Suppose that f is a sine function ... look at the picture

Answer:

(identity has been verified)

Step-by-step explanation:

Verify the following identity:

cos(x) cos(-x) - sin(x) sin(-x) = 1

Hint: | Cosine is an even function.

Use the identity cos(-x) = cos(x):

cos(x) cos(x) - sin(-x) sin(x) = ^?1

Hint: | Sine is an odd function.

Use the identity sin(-x) = -sin(x):

cos(x) cos(x) - -sin(x) sin(x) = ^?1

Hint: | Evaluate cos(x) cos(x).

cos(x) cos(x) = cos(x)^2:

cos(x)^2 - ( - sin(x) sin(x)) = ^?1

Hint: | Evaluate -(-sin(x)) sin(x).

-(-sin(x)) sin(x) = sin(x)^2:

cos(x)^2 + sin(x)^2 = ^?1

Hint: | Use the Pythagorean identity on cos(x)^2 + sin(x)^2.

Substitute cos(x)^2 + sin(x)^2 = 1:

1 = ^?1

Hint: | Come to a conclusion.

The left hand side and right hand side are identical:

Answer: (identity has been verified)

Answer:

c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The explicit formula for a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

The recursive formula gives a term in the sequence by multiplying the previous term by r

Given the recursive formula

a₁ = - 6

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] ([tex]\frac{1}{4}[/tex] )

with r = [tex]\frac{1}{4}[/tex]

Then explicit formula is

[tex]a_{n}[/tex] = - 6[tex](\frac{1}{4}) ^{n-1}[/tex] → A

Answer:

Wrote it in the explanation :)

Step-by-step explanation:

Expression One: c + 25% = price of gas in august

Expression Two: c + 0.25 = price of gas in august

Expression Two would be easier to use if we knew "c" because the numbers are already in decimal form. If it were in percentage form, it would cause us an extra step to  convert it into a decimal.

Please tell me if you have any further questions...

Hope this helped!!

Answer:

{0.3, 3, 30, 300, 3000}

Step-by-step explanation:

Here a(1) = 0.3, and

        a(2) = 3, and

         a(3) = 30, and

          a(4) = 300, and

          a(5) = 3000

The first term (given) is 0.3, and the common ratio is 10.

Step-by-step explanation:

8

ahhdhdvab ah a. b b b n n bk.

Answer:

b

Step-by-step explanation:

this is because 1 3/4 is equal to 7/4 which we can round to 2. so it says she rode back and forth to school so that would be 2 + 2  and she did that 5 times

this means that the final answer 5 * ( 2 + 2 )

Answer:

8

Step-by-step explanation:

you do the brackets first so (6n-1) would be 6-1 which equals 5

now we have m=5, m is 3 so 3+5=8

Answer:

Correct option: first one -> 9.46 feet long

Step-by-step explanation:

To find the length of the board for her ramp, we just need to use the sine relation of its angle with the ground.

The opposite side to the angle is the height of the ramp, and the hypotenuse of the triangle formed is the length of the board. So, we have that:

sin(25°) = height / length

0.4226 = 4 / length

length = 4 / 0.4226

length = 9.4652 feet

So the length of the board should be 9.46 feet (correct option: first one)

Answer:

No solution

Step-by-step explanation:

I'd suggest you try to solve this first:  3√(x + 8) = 4.  First, square both sides; this results in 9(x + 8) = 16, or x + 72 = 16/9, or x = -632/9.  We cannot let x = -632/9 in √(x + 8) because -632/9 is not in the domain of the square root function.  No solution.

If we now write 3√(x + 8) = -4   (note the negative sign), similar efforts at solution result in 9(x + 8) = -4, or x + 8 = -4/9, or x = -8 - 4/9.  If we now substitute this result for (x + 8) in 3√(x + 8) = -4 (above), we get 3√(-8 + 8 - 4/9), which has no solution; -4/9 is not in the domain of the square root function.

The solution for the given equation is 16.

The given equation is 3√x+8=-4.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The solution for the given equation can be determined as follows:

Now, 3√x+8=-4

⇒ 3√x=-4-8

⇒ 3√x=-12

⇒ √x=-12/3

⇒ √x=-4

Squaring both the sides, we get

x=16

Therefore, the solution for the given equation is 16.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ6

Answer:

Yes it is possible, given with 4 dots, lets say were set anywhere within a page or anywhere upon a circumference of a circle even. We can draw 4 straight lines to meet each corner and call this a quadrilateral.

Step-by-step explanation:

Squares, Rectangles and Rhombuses are all Parallelograms and squares and rectangles are regular quadrilaterals!

So any other 4 sided shape that is quadrilateral could be made.

The picture below shows all branches of quadrilaterals.

Answer:

No

Step-by-step explanation:

No.

For example, if all 4 dots are on a line, then the 4 dots do not make a quadrilateral.

Answer: No

Answer:

13.35 millimeter. (About)

Step-by-step explanation:

To find the area or circumference of any circle, you need to use pi. So, if we are trying to fine the area of a semicircle, you use the the formula:

πr²/2

So, if the radius is 8.5,

8.5 · 3.14 = 26.69

Now we divide it by 2.

26.69 = 13.345

Since the question is asking to round to the hundredths, the answer will be 13.35 millimeters.

Answer:

185.43 mm 2

Step-by-step explanation:

,.

.

.

.

.

.

.

.

Answer:

C. (9, 13)

Step-by-step explanation:

y = mx + b

y = (1/2)x + b

(-7, 5)

5 = (1/2)*(-7) + b

5 = - 7/2 + b

b = 5+ 7/2 = 10/2 + 7/2 = 17/2

y = (1/2)x + 17/2

C. (9, 13)

13 = (1/2)*9 + 17/2

13 = 26/2

13=13  True

Answer:

It is C (9,13)

Step-by-step explanation:

took the test on edge

Replace x with a number and solve for y. Plot the points out on a graph.

See the attached picture.

Rotate the image.

Answer:

$9,000.00 is her original investment worth in 10 yrs.

5000 x 1.08 ^10 = 10794.6249864

Then subtract -500000 = 5794.62498636

Step-by-step explanation:

Why, because the first year is proved 5000 x 0.08 = 400

= 400 year 1 but cna keep only if stays in investment for 10 years

400 x 10 = 4000 interest on investment

5000+ 4000 = $9,000.00 SI

+ 1,794.62 Interest on interest if applies (this is called CI) and makes $10794.62

Answer:it's D i took the test.

Answer:

B

Step-by-step explanation:

i took the test

Answer:

4

Step-by-step explanation:

The triangle itself

Also the 3 at the top

They are the only ones with 3 sides

Answer:

9 triangles

Step-by-step explanation:

Answer:

A. M less than or equal to 17

Step-by-step explanation:

Answer: 2560000

Step-by-step explanation:

Given, A worker needs to create a 4-character password.

Worker can use :

Alphabets, numbers and 4 special characters

Total alphabets = 26

Total digits = 10

So, total characters he can use = 26(alphabets) + 10 (digits) +4 (special characters)

= 26+10+4 = 40

Since, there is no pattern or condition is provided to choose them.

So, the total possible outcomes to create a 4-character password. = [tex](\text{Total characters})^4=40^4=2560000[/tex]

Hence, the total possible outcomes = 2560000

Answer:

55

Step-by-step explanation:

The base angles of an isosceles triangle have the same measure

3x+40 = x+50

Subtract x from each side

3x+40-x = x+50-x

2x+40 = 50

Subtract 40 from each side

2x+40-40 = 50-40

2x = 10

Divide each side by 2

2x/2 = 10/2

x = 5

We want angle A

3x+40

3*5 +40

15+40

55

Answer:

The mean is 7.975.

Step-by-step explanation:

Answer:

The correct answer is  9.4, Hope this helps!

Step-by-step explanation:

I took the test and this was the correct answer!

7. x=20

8. x=19

Step-by-step explanation:

7. The shape is a parallelogram and the angles that are labeled are opposite from each other, meaning that they are congruent. So, 4x-40=2x (and solve)

8. Same case as last time (parallelogram), and the angles labeled are congruent. So, 2x+19=3x (and solve)

Answer:

a. it has rotational symmetry with an angle of rotation of 90°

Step-by-step explanation:

Answer:

The Triangle Sum Theorem states that the three interior angles of any triangle add up to 180 degrees.

Step-by-step explanation:

Answer:

Step-by-step explanation:

x, y, z   -  numbers to find

The difference between 4 times the first number and the second number is negative 3:

4x - y = -3

  - y = -3 - 4x

    y = 3 + 4x

The sum of three numbers is 16:

x + y + z = 16

x + 4x + 3 + z = 16

 5x + z = 13

  z = 13 - 5x

The sum of twice the first​ number, 5 times the second​ number, and 6 times the third number is 85:

2x + 5y + 6z = 85

2x + 5(3 + 4x) + 6(13-5x) = 85

2x + 15 + 20x + 78 - 30x = 85

      -8x + 93 = 85

        -8x = -8

          x = 1

y = 3 + 4•1 = 7

z = 13 - 5•1 = 8

Veryfying:

1 + 7 + 8 = 16

2•1 + 5•7 + 6•8 = 2 + 35 + 48 = 85

Answer:

Translation (moving the figure) will map figure 1 onto figure 2 and then after this , dilation by a scale factor of "2"

Answer:

The first one is Translation 3 units down and8 units left, then a dialationby a scale factor of 2

Step-by-step explanation:

Answer:

[tex]( - 2)[/tex]

Step-by-step explanation:

Given that

[tex]a = 4 \\ b = - 2 \\ c = 8[/tex]

Let's solve now

[tex]a - b - c[/tex]

[tex]4 - ( - 2) - 8 \\ 4 + 2 - 8 \\ 6 - 8 \\ - 2[/tex]

Given

To find out:

Find the value of a - b - c ?

Solution:

a - b - c

Putting the value in the above

4 - ( - 2 ) - 8

4 + 2 - 8 [ - - = + ]

6 - 8

-2

Answer:

{x ∈ R: x<6}

Step-by-step explanation:

Given

Required

Write the set using set builder notation

The very first thing to do is to list out the range of x, using inequalities;

x is less than 6 implies that -infiniti < x < 6

The next step is to translate this to set builder. This is done as follows

x ∈ R - > This means that x is a real number

x < 6 -> where x is less than 6.

Bringing these two together, it gives:

{x ∈ R: x<6}

Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation