The area of a circle is pi(9x^2 + 42x +49). What is the circumference of the circle? Plz help will mark brainliest!

Answers

Answer 1

Answer:

2pi(3x + 7)

Step-by-step explanation:

In order to solve for the circumference, consider the area and circumference formulas. What is common among them? The radius. Take a look at their formulas below;

[tex]Circumference = 2\pi r,\\Area = \pi r^2,\\\\Where, r = radius[/tex]

Now if the area of this circle is given to be π ( 9x^2 + 42x + 49 ) we can plug it into the area formula as " Area " and solve for r ( radius );

[tex]\pi * ( 9x^2 + 42x + 49 ) = \pi r^2,\\( 9x^2 + 42x + 49 ) = r^2[/tex]

As you can see, π was eliminated on either side of the equation, leaving us with the simplified equation ( 9x^2 + 42x + 49 ). This expression is a perfect square. How so? Well you can rewrite the expression as ( 3x )^2 + 2 * ( 3x ) * ( 7 ) + ( 7 )^2, or ( 3x + 7 )^2;

[tex]( 3x + 7 )^2 = r^2,\\r = | 3x + 7 |,\\r = 3x + 7, r = - 3x - 7\\\\Solution, r = 3x + 7[/tex]

If r = 3x + 7, let us plug it into the circumference formula as to solve for the circumference;

[tex]Circumference = 2\pi r,\\Circumference = 2\pi * ( 3x + 7 )[/tex]

Solution = 2pi(3x + 7)


Related Questions

The perimeter of a room is 43 ft. The width is 9 1 2ft. What is the length?

Answers

Answer: The length  is 12 ft.

Step-by-step explanation:

So a room is likely to be  in a shape of a rectangle. And to to find the perimeter of a rectangle will use the formula   P = 2w + 2l   so in this case we know the perimeter and and the width but we need to find the length.

so using the formula  we could do this

43 = 2(9.5)  + 2l  

43 = 19 + 2l     subtract 19 from both sides

-19    -19

24 = 2l                Divide both sides by 2

l = 12        

The length is 12.

Check:   43 = 2(9.5) + 2(12)

            43 = 19 + 24

              43 = 43  correct so the length is 12.

I need the answers immediately hw is due in 5 mins!!!!!!!
Which is NOT a solution of the inequality: 5 - 2x ≥ -3 ? *
0
2
4
5

Answers

Answer: 5

Step-by-step explanation:

Factor out the GCF from the following polynomials.
1) 45m^5-25m^4-20m^2-35m=? 2) 35x^2-15x^3+5x^4=? 3) 6ab^6-14a^2b^4+2a^5b^3=?

Answers

Answer:

Step-by-step explanation:

i hope

the the answer is 2ab3(a4+3b3−7ab)

hope it helps.

sorry if it wrong

-Delilah

solve using eliminates method 3x-4y=15 2x-2y=8​

Answers

Answer:

Step-by-step explanation:

Find the degree of each polynomial.

Answers

24x(1)Y(1)- x(1)Y(3)+x(2)

Find the area of rhombus. Please help

Answers

Answer:

195

Step-by-step explanation:

The area of a rhombus is the product of the two diagonal lengths / 2. The two diagonals measure 15 and 26 respectively. Therefore, the rhombus' area is 390/2=195

195 is the area of the rhombus


What is another name for ∠EBC?

Answers

Answer:

Number 4

Step-by-step explanation:

Angle CBE is the same thing as angle EBC. The only thing that matters when you're talking about ONE angle is the middle letter.

Answer:

It is number four: ∠CBE


I NEEED HEEELLLPP



Which sequence of transformations could be used to map quadrilateral RSTU onto R"S"T"U"?


T(−1, −3) ° ry−axis
T(−3, −1) ° ry−axis
T(−1, 3) ° R0,180°
T(3, −1) ° R0,180°

Answers

Answer:

c) T(−1, 3) ° Rotation,180°

Step-by-step explanation:

Explanation:-

First we will apply transformation is

Rotation of 180°  then we will apply transformation is changes  

(x,y) to (-x ,-y)

a)

Given vertex T(  2 ,2 )

T( 2 ,2 )→ T( -2 ,-2)

Next we will apply rule

Horizontal translation left '1' units and Vertical translation up 'd' units

T( -2 ,-2) → T¹ ( -2 -1 ,-2 +3)

The new vertex is  T¹ ( -3 ,1)

b)

Given vertex U(  4 ,2 )

U( 4 ,2 )→ U( -4 ,-2)

Next we will apply rule

Horizontal translation left '1' units and Vertical translation up 'd' units

U -4 ,-2) → U¹ ( -4 -1 ,-2 +3)

The new vertex is  U¹ ( -5 ,1)

c)

Given vertex R(  3 ,5 )

R( 3 ,5 )→ R( -3,-5)

Next we will apply rule

Horizontal translation left '1' units and Vertical translation up 'd' units

R( -3 ,-5) → R¹ ( -3 -1 ,-5 +3)

The new vertex is  R¹ ( -4 ,-2)

d)

Given vertex S(  1 ,3 )

S( 1 ,3 )→ S( -1 ,-3)

Next we will apply rule

Horizontal translation left '1' units and Vertical translation up 'd' units

S( -1,-3) → S¹ ( -1 -1 ,-3 +3)

The new vertex is  S¹ ( -2,0)

a car drives at 45 km for 3 hours . how far does the car travel

Answers

Answer:

135 km

Step-by-step explanation:

I assume by 45 km you mean 45 km/h so all you have to do is 45x 3 since the car was driving for 3 hrs.

Answer:

The car traveled 135 kilometres!

Step-by-step explanation:

Here you have to do the speed (45km/h) multiplied by the time (3 hours)

45 x 3 = 135

So the car has traveled 135 kilometres!

HOPE THIS HELPS!!

Mark me brainlest!

find,in terms of pie,the curved surface area of a cone with circular base diameter 10cm and height 12cm​

Answers

Answer: 65π

Step-by-step explanation:

you can draw the cone to make it easier for you to understand.

to find the curved surface area of a cone, you multiply the base radius of the cone by pie. Then multiply your answer by the length of the side of the cone.

to do this you need the length of the side and the radius of the cone.

to find radius, divide the diameter by 2.

[tex]\frac{10}{2}[/tex] = 5

then use the right angle triangle in the cone to find the length of the side

use Pythagoras theorem which  states that a² + b²= c²

a= 5, b= 12, c= x (length of side)

[tex]x^{2} 5^{2} + 12^2 =x^{2} \\25 + 144 = x^{2} \\169= x^{2} \\x=\sqrt{169} \\x= 13[/tex]

no that you have found the length

multiply the base radius by pie

which is:

5 ×π = 5π

then multiply this by the length of the side

5π × 13 = 65π

there you go!

hope it helps!

Each handful of cheese covers 21 sqaure inches. How much handful of cheese they need to cover 5 slices of cheese with a area of 125.7in

Answers

Answer: 30

Step-by-step explanation:

Hi, to answer this question, first we have to multiply the number of slices of cheese (5) by the area of each slice (125.7)

125.7 (5) = 628.5 in2

Finally we have to divide that result by the area that each handful of cheese covers (21 in2)

628.5 / 21 = 29.92 = 30 handful of cheese

Feel free to ask for more if needed or if you did not understand something.  

Answer:

30

Step-by-step explanation:

What is the difference? Negative 6 minus (11) –17

Answers

Answer:

-34

Step-by-step explanation:

-6-(11)-17

-6-11-17

-34

Given f(x) = 3/4x + 12, find the value of x when f(x) = x.

Answers

Answer:

48 =x

Step-by-step explanation:

3/4x + 12 = x

Subtract 3/4 x from each side

3/4x + 12-3/4x = x-3/4x

12 = 1/4x

Multiply each side by 4

12*4 =1/4x *4

48 =x

Answer:

x=48

Step-by-step explanation:

f(x) is basically just another way to write y.

If f(x)=x, then y=x.

x=3/4x+12 (Original Equation Substituting x for f(x), equal to y)

1/4x=12 (Subtract 3/4 from both sides of the linear equation)

x=48 (Multiply both sides by 4)

Given: Lines y and z are parallel, and ABC forms a triangle.
Prove: m25 + m_2 + m26 = 180°
M

Answers

Answer: Brainliess plsssssss

The answer in this question is Alternate interior angles are congruent.

Step-by-step explanation:

Alternate interior angles are defined as when the two lines are crossed by another line which is called transversal, the pairs of angles on opposite sides of the transversal but inside the two lines are known as alternate interior angles.

The list price of an item is $ 93.45. The supplier is offering a series trade discount of 7/23. Find the net cost.

Answers

Answer: $66.92

Step-by-step explanation:

We can get the final price by calculating the first discount and then subtracting this from the original price to get the amount to which the second discount is applied. We can then determine the final price by subtracting the second discount from the intermediate price.The percent of the first discount is 7.

The price after the first discount is $93.45−($93.45×0.07)=$86.91.

The price to which the second discount is applied is $86.91.

The second discount is 23%

86.91 x 0.23 = $19.99

The final price is (86.91 - 19.99) = 66.92

Which of the following pair of angles is the complementary angle? 25 and 65 31 and 71 60 and 40 145 and 35

Answers

Answer:

Step-by-step explanation:

If the sum of a pair of angles is 90, then they are complementary angles.

25 + 65 = 90

So, 25 and 65 are complementary angles

Answer:

25 and 65

Step-by-step explanation:

complementary angle= either of two angles whose sum is 90°

25 and 65, sum = 90°

yes

31 and 71, sum = 102°

no

60 and 40, sum = 100°

no

145 and 35, sum = 180°

no

9. Determine the equation of a line that passes though the points (3,-4) and (6,2). [​

Answers

Answer:

y=2x-10

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (3,-4), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=3 and y1=-4.

Also, let's call the second point you gave, (6,2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=2.

Now, just plug the numbers into the formula for m above, like this:

m=

2 - -4

6 - 3

or...

m=

6

3

or...

m=2

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

Please answer correctly !! Will mark brainliest !!!!!!!!!

Answers

Answer:

6 seconds

Step-by-step explanation:

h(x) = 0 m , when the ball is on the ground.

h(x) = - (x-2)² + 16

0 = - (x-2)² + 16

(x-2)² = 16

√(x-2)² = +/- √16

(x-2) = 4  ,        (x-2) = - 4

x - 2 = 4  ,         x = -2

x = 6

We can use only positive solution.

Hosn is a picture framer. He is framing a picture that is 24 inches by 32 inches with a
frame that is 2.5 inches wide. What is the outer perimeter of the framed picture In yards, feet, and inches.​

Answers

Answer: 122 sq. in.

Step-by-step explanation:

P = 2 (l + w)

P = 2 (34.5 + 26.5)

P = 2 x 61

P = 122 sq. in. = 0.847 sq ft = 0.0941 sq. yards

Perimeter is the sum of the side lengths of a shape. The outer perimeter of the framed picture is:

132 inches3.67 yard11 feet

Given that:

[tex]Length = 24in\\Width = 32in[/tex]

The width of the frame is given as:

[tex]Frame =2.5in[/tex]

So, the actual length and width of the framed picture is:

[tex]Length =24 + 2.5 + 2.5[/tex]

[tex]Length =29in[/tex]

[tex]Width = 32 + 2.5 + 2.5[/tex]

[tex]Width = 37in[/tex]

The outer perimeter (P) in inches is:

[tex]P= 2 \times (Length + Width)[/tex]

So, we have:

[tex]P= 2 \times (29in + 37in)[/tex]

[tex]P= 132in[/tex]

The perimeter in yard, is as follows:

[tex]P= \frac{132}{36}yd[/tex]

[tex]P = 3.67yd[/tex]

The perimeter in feet is as follows:

[tex]P= \frac{132}{12}ft[/tex]

[tex]P = 11ft[/tex]

Hence, the outer perimeter of the frame is 132 inches

Read more about perimeters at:

https://brainly.com/question/6465134

Can anybody help me.

Answers

Answer:

1st one

Step-by-step explanation:

Please help me. I don't understand how to work it out. ​

Answers

You move it to the left

[tex]answer \\ = 60 \: meters \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps[/tex]

HELP ASAP!!

Determine the surface area of the figure built out of blocks.

A) 30 sq. Units
B) 26 sq. Units
C) 22 sq. Units
D) 19 sq. Units

Answers

Answer:

i think it's s d because that's how many sq. there are

Given the coordinates for the function below which of the following are coordinates for its inverse

Answers

Answer:

Not sure but I believe it is A

Step-by-step explanation:

The coordinates of the inverse function would be, ($0.08, $1.00), ($0.16, $2.00), ($0.24, $3.00), ($0.52, $6.50), ($0.80, $10.00)

The correct answer is an option (B)

What is a function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is inverse function?"It is a function that serves to “undo” another function.""The inverse function of y = f(x) is [tex]x=f^{-1}(y)[/tex]. "

For given question,

We have been given a function.

We need to find the coordinates of the inverse function.

We know, the coordinates of the inverse of a function obtained by interchanging the first and second elements of each pair.

So, the coordinates of the inverse function would be, ($0.08, $1.00),

($0.16, $2.00), ($0.24, $3.00), ($0.52, $6.50), ($0.80, $10.00)

Therefore, the coordinates of the inverse function would be, ($0.08, $1.00), ($0.16, $2.00), ($0.24, $3.00), ($0.52, $6.50), ($0.80, $10.00)

The correct answer is an option (B)

Learn more about inverse function here:

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Hi can any one please help me In math please I don’t know any thing of it

Answers

Answer:

Step-by-step explanation:

volume=area of base×height

area= length×witgh

a)

a=5×4

a=20

v=20×10

v=200 sq. cen.

b)

lol idk how to explain this one

a=153

v=153×16

v=2448 sq. cm.

c)

V = 1/3AH

a= 15×15

a=225

v=1/3 225 17

v=1/3 3825

v=1275 sq. cm.

im to tired to do the rest but i hope i helped with what i did

also that took a long time can i plz get brainilest?

Answer:

a=l times w

Step-by-step explanation:

give her brainilest. that’s why i answered some she can get brainilest

A jar contains 56 quarters and pennies. The total value of the coins is $3.92. Which system of equations can be used to find p, the number of pennies, and q, the number of quarters?

Answers

Answer:

let x = the number of nickels

 

the number of pennies can be represented by (56 - x)

 

.05x + .01(56 - x) = 1.52

 

5x + (56 - x) = 152    if in the above line we multiply both sides of the equation by 100

 

4x + 56 = 152

 

4x = 96

 

x = 24

 

There are 24 nickels and 56 - 24 = 32 pennies

 

24 nickels are worth 24 * 5 = $1.20 and 32 pennies are obviously worth 32 cents, so the total is 1.20 + 0.32 = $1.52

Step-by-step explanation:

What is the decimal expansion of 30/6? And is it rational or irrational.

Answers

Answer:

5.0 rational

Step-by-step explanation:

30/6 = 5/1 =5.0

it's rational as it is a fraction

Use the quadratic formula to find both solutions to the quadratic equation given below

Answers

Answer:

C and D are correct: -1 and 0.5

Step-by-step explanation:

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!

Answers

The answer to that would be 2

Graph the line y = -5/4x-3

Answers

Answer:

Well I can't exactly graph for you but I will tell you the y intercept is at (0,-3) and the slope is -5/4

Step-by-step explanation:

Make a graph and plot a point on (0,-3)

Then go down 5 and go right 4 to represent the slope of -5/4

Hope this helps!

The graph of line y= -5/4x -3 is attached below.

We have the equation

y= -5/4x - 3.

To graph the line y = -5/4x - 3, you can use the slope-intercept form of a linear equation, which is y = mx + b.

In this equation, "m" represents the slope, and "b" represents the y-intercept.

From the given equation, we can determine that the

slope (m) is -5/4, and the y-intercept (b) is -3.

The graph of the line y = -5/4x - 3 should look like a downward-sloping line that passes through the points (0, -3), (4, -8), and (-4, -2).

Learn more about Graph here:

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which number produces an irrational number when multiplied bby 1/2

Answers

multiply by 0.4 will yield it
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