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Find the arc length of the semicircle.
Either enter an exact answer in terms of TT or use 3.14 for and enter your answer as a decimal.
units

Answer:

[tex]y = \frac{3}{2} x - \frac{7}{2} [/tex]

Step-by-step explanation:

3x-2y=7

-3x -3x

-2y=-3x+7

-1 -1

2y=3x-7

2 2

y= 3/2x-7/2

Answer:

19

Step-by-step explanation:

3(x-9)= 3x-27

3x-27=30

3x=57

x=19

a cubic function whose graph passes through the points (-3, 0), (1, 0), (4, 0), and (0,8) is: f(x) = - 2 (x + 3) (x - 1) (x - 4)

A cubic function is a function whose expression contains the cube of the x variable. A function is referred to as a cubic function if its formula is f(x) = ax³ + bx² + cx + d. a, b, c, and d can all be constants in this case, but make sure that a 0. The b, c, or d might all be zeros.

A cubic function has 3 roots.

Let, assume α, β and γ.

So, f(x) = K (x - α). (x - β). (x - γ)

f(x) is defined by values of x where f(x) = 0

0 = K (x - α). (x - β). (x - γ)

x = α, β, γ

The given cubic function graph is cutting x - axis at 3 points: (-3, 1 ,4)

Now, f(x) = K (x - (-3). (x - 1). (x - 4)

f(x) = K (x + 3) (x - 1) (x - 4)

Next, f(x) passes through point (0,8) which means:

f(0) = 8

so, 8 = K (0 + 3) (0 - 1) (0 - 4)

or, k = - 2

Now, f(x) = - 2 (x + 3) (x - 1) (x - 4)

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Answer:

I guess option c is the answer

Answer:

(3,18)

Step-by-step explanation:

You do not give the center of dilation, so I am using the origin (0,0)

You multiply the x and y by 3

(1,6)

1 x 3 = 3

(1,6)

6 x 3 = 18

(3,18)

D I think 13.34

Step-by-step explanation:

Answer:

23/4

Step-by-step explanation:

5*4 = 20

20+3=23

Answer:

23/4

Step-by-step explanation:

I learned it like this

4x5+3

So basically you multiply the bottom number with the whole number on the side and add the top number to it

And 4x5+3=23

You keep the bottom number of the mixed number

So it's 23/4

(I'm not super good at explaining things, but I hope this helped)

Answer:

No it is not an exponential function

Answer:

6a

Step-by-step explanation:

Answer:

x≤ −6/ 17

Step-by-step explanation:

Let's solve your inequality step-by-step.

−34x≥12

Step 1: Divide both sides by -34.

−34x/ −34 ≥ 12/ −34

x≤ −6/ 17

Answer:

x≤ −6/ 17

Answer:

A: Ralph y = 10 + 7.50x

Frank y = 10x

B: x = 4, y = 40

C: x = 4 means that in order for the companies to make the same amount of money, they have to sell 4 shirts each. When the companies sell 4 shirts (or multiples of 4) they are making the same amount of money.

Step-by-step explanation:

Because both equations are equal to y, set them equal to each other.

10x = 10 + 7.50x

2.5x = 10

x = 4

Plug in x to a y equation.

y = 10(4)

y = 40

Answer:

1

Step-by-step explanation:

Answer:

I believe it is 1

Step-by-step explanation:

Answer:

11.4

Step-by-step explanation:

Its a right triangle so we can use the Pythagorean Theorem to solve it

Answer:

1+1=2

Step-by-step explanation:

please mark me brainliest i want to move to the next rank

Answer:

[tex]51.3[/tex]

Answer:

T is 13

Step-by-step explanation:

-2(t+7)=-4t+12

-2t-14=-4t+12

2t=26

t=13

check answer:

-2(13+7)=-4(13)+12

-26-14=-52+12

-40=-40

Answer:

t is or equal to 13

Step-by-step explanation:

i done this before

Answer:

a. A' (-3, -1) B' (3, 2) C' (6, 0); b. A' (-1, -3) B' (1, 6) C' (2, 0); c. A' (-2, -3) B' (2, 6) C' (2, 0)

Step-by-step explanation:

Solutions for graph a, b and c are attached.

a. (x, y) to (3x, y)

A' (-3, -1) B' (3, 2) C' (6, 0)

b. (x, y) to (x, 3y)

A' (-1, -3) B' (1, 6) C' (2, 0)

c. (x, y) to (2x, 3y)

A' (-2, -3) B' (2, 6) C' (2, 0)

REMEMBER: Connect the lines to make the triangles for each graph BEFORE submitting.

Answer:

120

Step-by-step explanation:

To find the value of x we use Euclidian theorem

x^2 = 225*64

x^2 = 14400

x = 120

9514 1404 393

Answer:

  400

Step-by-step explanation:

The statement of proportionality means the ratio of y to √x is the same. Then we can write ...

  (√x)/100 = (√81)/45

  √x = 100(√81)/45 = 20 . . . . . multiply by 100

  x = 20² = 400

x is 400 when y is 100.

Answer:

43 feet 9 inches

Step-by-step explanation:

Since there are 12inches in a feet you would have to first make the feet in to inches so 8x12 which would give you 96in and since there 9 extra inches you would add them to get 96+9=105inches then you muiltiply by 5 and lastly you make them back in to feet by dividing by 12 since there are 12inches in a feet. It would look like this: 525/12= 43.75 or 43ft and 9in

Answer:

Expression: 48x + 120y & Area = 1,008 square feet

Step-by-step explanation:

12(4x + 10y)

multiple the 12 into 4x + 10y

12 x 4x = 48x

12 x 10y = 120y

48x + 120y

x = 6 ft

y = 4 ft

Substitite in numbers

48x + 120y

48(6) + 120(6)

Multiply

288 + 720

Add

288 + 720 = 1,008 square feet

volume of cone

= ⅓πr²h

= ⅓ × 3.14 × 9 × 9 × 12

= 3.14 × 3 × 108

= 3.14 × 324

= 1017.36 cm³

Answer:

777

Step-by-step explanation:

7/9 will repeat 7 forever

The next three are therefor

777

9514 1404 393

Answer:

  12.  13

  14.  A

  15.  B

Step-by-step explanation:

I choose to work 3 problems to show how multiplication and division work with exponents.

__

12. You are looking for the coefficient of the x² term. It will be the sum of the coefficients of partial products that result in the variable being x². Those partial products will be of the form (ax²)(b) or (ax)(bx).

We note there are both x² and x terms in the first factor, but only x terms in the second factor. So, the x² term of the product will be ...

  (2x²)(4) +(5x)(x) = (8 +5)x² = 13x²

The missing coefficient is 13.

__

14. The rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  (a^b)/(a^c) = a^(b-c)

The given expressions can be simplified as ...

Koby

  [tex]\dfrac{w^3\cdot w^5}{(w^2)^4}=w^{3+5-2\cdot4}=w^0=1[/tex]

Paulo

  [tex](m^5)^2\cdot (m^{-3})^3=m^{5\cdot2+(-3)\cdot3}=m^1=m[/tex]

Kobe Only wrote an expression equivalent to 1.

__

15. The given expression is of the form

  [tex]\dfrac{\text{dividend}}{\text{divisor}}=\dfrac{14x^2+10x-7}{2x}\\\\=\dfrac{14x^2}{2x}+\dfrac{10x}{2x}-\dfrac{7}{2x}=(7x+5)+(-\dfrac{7}{2x})=\text{(quotient)+(remainder)}[/tex]

The true statement is ...

  the quotient has a remainder of -7/(2x)

__

Additional comment

Strictly speaking, a division problem can be expressed as ...

  dividend = (divisor)(quotient) + remainder

In this instance, this would be ...

  14x² +10x -7 = (2x)(7x +5) -7

which is to say that -7 is the remainder. The term -7/(2x) is actually part of the quotient.

The above (quotient) + (remainder) should actually be ...

  (quotient) +(remainder)/(divisor)

You will notice the answer choices have the terms "dividend" and "divisor" swapped, and that the degree of the binomial quotient is 1, not 2. Thus the only choice that begins to make sense is the one highlighted above--even though it, too, is technically incorrect.

The values of the variables in the circles are

From the question, we have the following parameters that can be used in our computation:

Circles and missing angles (see attachment for the figures)

Circle 1

To determine the unknown variable (a), we make use of the following theorem

The angle subtended by an arc at the circumference is twice the angle subtended at the circumference

Mathematically, this means that

a = 2 * 17 degrees

Evaluate the product

a = 34 degrees

Circle 2

To determine the unknown variable (a), we make use of the following theorem

The angle at the circumference in a semicircle is 90 degrees.

Mathematically, this means that

b = 90 degrees

Also, we have

a + 122 degrees = 180 degrees

Evaluate

a = 58 degrees

Using the theorem in (a), we have

b + a/2 + c = 180

This gives

90 + 58/2 + c = 180

Evaluate the like terms

c = 61 degrees

Hence, the angle c is 61 degrees

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Answer:

[tex] \approx \: 198.1 \: {cm}^{2} [/tex]

Step-by-step explanation:

Given figure consists of a parallelogram and two semicircles with diameters 14 cm and 8 cm

(Opposite sides of a parallelogram are equal in measure and they are the diameters of the semicircles)

Therefore,

Area of the figure = Area of the parallelogram with base 8 cm and height 12 cm + Area of semicircle with radius (14/2 = 7) 7 cm + Area of the semicircle with radius (8/2 =4) 4 cm

[tex] = b \times h + \frac{1}{2} \times \pi {(7)}^{2} + \frac{1}{2} \times \pi {(4)}^{2} \\ \\ = 8 \times 12 + \frac{1}{2} \pi(49 + 16) \\ \\ = 96 + \frac{1}{2} \times 3.14 \times 65 \\ \\ = 96 + 102.05 \\ \\ = 198.05 \\ \\ \approx \: 198.1 \: {cm}^{2} [/tex]