the graph of f (x)=x^2 was translated 4.5 units to the left to create the graph of function g which function represent g?

Step-by-step explanation:

Area=1/2(πr^2)

= 1/2 × 22/7 × 1^2

=11/7=1 4/7cm^2

Answer:

8) width = 30 cm

   length = 60 cm

9) first side = 60 m

   second side = 180 m

   third side = 240 m

Step-by-step explanation:

Question 8

Let W = width

Given:

⇒ Length = 3W - 30

Given:

Perimeter of a rectangle = 2W + 2L

(where W is the width and L is the length)

Substituting equation for length into the equation for the perimeter and solving for W:

   Perimeter = 2W + 2L

⇒ 180 = 2W + 2(3W - 30)

⇒ 180 = 2W + 6W - 60

⇒ 240 = 8W

⇒ W = 30 cm

Substitute found value of W into the equation for length and solve for length:

⇒ Length = 3(30) - 30

⇒ Length = 90 - 30

⇒ Length = 60 cm

Question 9

Given:

Let x = first side

⇒ second side = 3x

⇒ third side = 3x + 60

Given:

   Perimeter = sum of length of all sides

⇒ 480 = x + 3x + 3x + 60

⇒ 420 = 7x

⇒ x = 60

Therefore,

first side = 60 m

second side = 3 × 60 = 180 m

third side = 3(60) + 60 = 240 m

width be x

length=3x-30

Now

#2

sides be x,3x,3x+60

Now

Hence

Answer:

5 adult and 3 student tickets were purchased

Step-by-step explanation:

Let x be the number of adult tickets

Then 8−x is the number of student tickets

7.25x+5.5(8−x)=52.75

7.25x+44−5.5x=52.75

1.75x=8.75

x=5

Therefore, 5 adult and 3 student tickets were purchased

Answer: 10.5

Step-by-step explanation:

Answer: Angles RLN and MLK would be vertical angles.

Step-by-step explanation:

A horizontal line has points K, L, N. A line extends from point L up and to the right to point M: Angles RLN and MLN would be vertical angles.

Based on the given information, if a horizontal line contains points K, L, and N, and a line extends from point L up and to the right to point M, then angle KLM and angle MLN are a linear pair.

Now, if Ray LR is added to the diagram opposite to Ray LM, the resulting angle RLN would be formed.

Vertical angles are formed when two lines intersect. They are opposite angles and have equal measures. Looking at the diagram, angles RLN and KLN do not share a common vertex, so they cannot be vertical angles.

Similarly, angles RLN and KLM do not share a common side or form a straight line, so they cannot be a linear pair.

Therefore, the correct statement is: Angles RLN and MLN would be vertical angles.

To know more about Angles

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Answer:

24 years

Step-by-step explanation:

First, I will set up an equation.

2(9 + x) = 42 + x

18 + 2x = 42 + x

x = 24

9 + 24 = 33

42 + 24 = 66

66 is 2 times 33.

There are no options.

[tex]\frac{1}{b^{4} }[/tex]   <------------- only expression created by this rule.

Answer:

Step-by-step explanation:

The given expression should be typed as b^(-4), which indicates that variable b has the exponent -4.

Recall that:            

     1

------------- = a^(-n)

   a^n

                                        1

Therefore, b^(-4) =   --------------

                                     b^4

Answer:

the answer is 45%.

Step-by-step explanation:

if you add 5% divided by 3 = 15%.

So if you add all of those plus the 30% you will be getting 45%.

From the given dimensions, of MI, IN, NT, TM, and MN, the quadrilateral

MINT can be drawn as shown in the attached image.

The given dimensions of the quadrilateral MINT are;

MI = 5 cm

IN = 6 cm

NT = 7 cm

TM = 3 cm

MN = 9 cm

The side MN is a diagonal of MINT, therefore;

ΔMIN, and ΔMTN are triangles with a common base = MN

The steps to construct MINT are therefore;

Please find attached the drawing (showing the construction arcs) of the

quadrilateral MINT created with MS Word.

Learn more about types of geometric construction here:

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Answer:

??????????

Step-by-step explanation:

Answer:

Step-by-step explanation:

There's no such thing as answer for this, as this is an algebraic expression.

Answer:

Vol = 75.36 in^3

Step-by-step explanation:

A can is a cylinder. The volume of a cylinder is:

V = pi•r^2•h

Your radius is 2 inches. And height given is 6 inches.

V = pi•2^2 •6

V = (3.14)4(6)

V ~= 75.36 cubic inches

If you need a different unit like ml or oz. please comment, will edit.

Hope this helps!

Mark me the Brainliest! tysm!

Answer:

Step-by-step explanation:

The ratio= 1:4

Answer:

x=8 or -8

Step-by-step explanation:

64 squared = 8 or -8

8x8=64

-8x-8 = 64

Answer:

Take the root of both sides and solve.

x=8,−8

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠R=90-61=29°

using sin formula

[tex]\frac{x}{\sin~29} =\frac{59}{\sin~61} \\x=\frac{\sin~29}{\sin~61} \times ~59 \approx~32.7[/tex]

Answer:

1: 5/20 2: 1 2/20

Step-by-step explanation:

multiply ti to get 20 and multiply the numerator with it

Answer:

A and C (integers are whole numbers, so NOT fractions or decimals.)

Step-by-step explanation:

Answer:

A, C and E

Step-by-step explanation:

Integers are whole positive or negative numbers.

Answer:

Sam would make about 13,440 per year.

His pay check would be deducted over 93% which is 12,406 spent on bills, and about $90 left to spend on whatever he wants.

Answer:

x = {-3, -2.5}

Step-by-step explanation:

Simplifying

3 + x = 0

Solving

3 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0

0 + x = 0 + -3

x = 0 + -3

Combine like terms: 0 + -3 = -3

x = -3

Simplifying

x = -3

Simplifying

5 + 2x = 0

Solving

5 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.

5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0

0 + 2x = 0 + -5

2x = 0 + -5

Combine like terms: 0 + -5 = -5

2x = -5

Divide each side by '2'.

x = -2.5

Simplifying

x = -2.5

Answer:  11

Step-by-step explanation:

Answer:

b is my answer and that's it

Answer:

C.)The difference between the mean heights is approximately 3 times the MAD of the data sets.

Step-by-step explanation:

just took it on edge

Answer:

[tex]\tt x=32.8[/tex]

Step-by-step explanation:

Given: Figare

Find: x

~

Answer:

$66.50

Step-by-step explanation:

Given Us that:

⇒ Video game: $70 Sale: 5% off

To Find:

What is the new cost of the video game?

Note:

Off ⇒ Discount ⇒ decrease ⇒ subtract

5% = 0.05

Solve:

⇒ $70 × 0.05 = 3.50

⇒ $70 - 3.50 = 66.50

Hence, New cost of the video games → $66.50

~Learn with Lenvy~

The monthly payment for a 5-year car loan of $23,570 at 10.43% interest, compounded monthly will be $660

It is given that the monthly payment for a 5-year car loan of $23,570 at 10.43% interest, is compounded monthly.

It is required to find the monthly payment.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A=P(1+ \frac{r}{n})^n^t[/tex]

Where A = Final amount

           P = Principal amount

           r  = annual rate of interest

           n = how many times interest is compounded per year

           t = How long the money is deposited or borrowed (in years)

We have P = $23,570

               r  =  10.43% = 10.43/100 = 0.1043

               n = 12

               t = 5 years

Putting all the values in the formula, we get:

[tex]\rm A=23,570(1+\frac{0.1043}{12})^1^2^\times^5[/tex]

[tex]\rm A = 23,570\times1.680\\\rm A = 39597.6[/tex]

The monthly payment will be:

=[tex]\rm \frac{A}{t(in \ months)}[/tex]

[tex]\rm = \frac{39597.6}{60} \\\rm = 659.96\\\rm \approx 660[/tex]

Thus,  the monthly payment for a 5-year car loan of $23,570 at 10.43% interest, compounded monthly will be $660.

Learn more about the compound interest:

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Answer:

D. 505.79

Step-by-step explanation:

edge 2022

Answer:

see explanation

Step-by-step explanation:

note that (sinx)² = sin²x

4sin²x - 2 = 0 ( add 2 to both sides )

4sin²x = 2 ( divide both sides by 4 )

sin²x = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( take square root of both sides )

sinx = ± [tex]\sqrt{\frac{1}{2} }[/tex] = ± [tex]\frac{1}{\sqrt{2} }[/tex]

sinx = [tex]\frac{1}{\sqrt{2} }[/tex] ( sinx > 0 , then x is in 1st/2nd quadrants )

x = [tex]\frac{\pi }{4}[/tex] , π - [tex]\frac{\pi }{4}[/tex] = [tex]\frac{3\pi }{4}[/tex]

sinx = - [tex]\frac{1}{\sqrt{2} }[/tex] ( sinx < 0 , then x is in 3rd/4th quadrants )

x = π + [tex]\frac{\pi }{4}[/tex] = [tex]\frac{5\pi }{4}[/tex] , 2π - [tex]\frac{\pi }{4}[/tex] = [tex]\frac{7\pi }{4}[/tex]

solutions are

[tex]\frac{\pi }{4}[/tex] , [tex]\frac{3\pi }{4}[/tex] , [tex]\frac{5\pi }{4}[/tex] , [tex]\frac{7\pi }{4}[/tex] in the interval [ 0, 2π )