Please help and explain 15 points

Write an equation of a circle with the given center and radius center (3,4) and radius 6
A.) (x-3)^2 + (y-4)^2 = 36
B.) (x-3)^2 + (y-4)^2 = 6
C.) (x-3)^2 + (y-4)^2 =36
D.) (x+3)^2 + (y-4)^2 = 6

Answers

Answer 1

Answer:

a

Step-by-step explanation:

General equation of a circle : [tex](x-h)^2+(y-k)^2=r^2[/tex]

where (h,k) is at center and r = radius

Here, we want to find the equation of a circle with a given center at (3,4) and a given radius of 6

This is very simple, all we have to do is assign variables and then plug in the values of the variables into the general equation of a circle

First lets assign variables.

(h,k) is center and the circle has a given center at (3,4)

so (h,k) = (3,4) thus, h = 3 and k = 4

r = radius and the circle has a given radius of 6 so r = 6

now we plug this into the general equation of a circle.

recall equation : (x-h)² + (y-k)² = r²

h = 3, k = 4 and r = 6

plug in values

(x-3)² + (y-4)² = 6²

simplify exponent

(x-3)² + (y-4)² = 36

and we are done!

The answer is A


Related Questions

A+restaurant+bill+before+tax+is+$15. 50. +if+the+sales+tax+is+8%+and+a+15%+tip+is+added,+what+is+the+total+cost+of+the+meal?

Answers

Answer:

$19.07

Step-by-step explanation:

Look at image above...

The total cost of the meal is $19.065.

What is the percentage?

In mathematics, a percentage (from Latin per centum "by a hundred") is a number or ratio expressed as a fraction of 100.

A restaurant bill before tax is $15.50.

If the sales tax is 8% and a 15% tip is added.

The total cost of the meal is;

[tex]\rm Total \ cost = Bill \ amount + Sales \ tax + Tip\\\\ Total \ cost = 15.50 + 15.50 \times \dfrac{8}{100} + 15.50 \times \dfrac{15}{100}\\\\ Total \ cost = 15.50+1.24+2.32\\\\ Total \ cost = 19.065[/tex]

Hence, the total cost of the meal is $19.065.

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Find the derivative of 9x³ + 4x² + x + 3 at x = 3.

Answers

Answer:

268

Step-by-step explanation:

Derivative Rule

dy/dx (xⁿ) = nxⁿ⁻¹

On deriving,

dy/dx = 9x³ + 4x² + x + 3dy/dx = 27x² + 8x + 1

Substitute x = 3

dy/dx = 27(3)² + 8(3) + 1dy/dx = 243 + 24  + 1dy/dx = 268

Solution:

268

=============================

[tex]\sf \bold{ \rightarrow } \ y = 9x^3 + 4x^2 + x + 3[/tex]

[tex]\sf \bold{ \rightarrow } \ \dfrac{dy}{dx} = \dfrac{d}{dx} ( \ 9x^3 + 4x^2 + x + 3 \ )[/tex]

[tex]| | \ \mathrm{ If \ y = x^n , \ then \ \frac{dy}{dx} = nx^{n-1}} \ | |[/tex]

[tex]\sf derivative \ of \ constant \ is \ always \ 0 \ || \ \sf\dfrac{d}{dx}\left(a\right)=0 \ ||[/tex]

solving step wise

[tex]\sf \bold{ \rightarrow } \ \dfrac{d}{dx} ( 9x^3) + \dfrac{d}{dx}(4x^2) + \dfrac{d}{dx}(x )+ \dfrac{d}{dx}(3 )[/tex]

[tex]\sf \bold{ \rightarrow } \ \sf ( 3(9x^{3-1}) +2(4x^{2-1}) + (1)(x^{1-1} )+ 0[/tex]

[tex]\sf \rightarrow 27x^2+8x+1+0[/tex]

[tex]\sf \rightarrow 27x^2+8x+1[/tex]

when x = 3

[tex]\sf \hookrightarrow 27(3)^2+8(3)+1[/tex]

[tex]\sf \hookrightarrow 243+24+1[/tex]

[tex]\sf \hookrightarrow 268[/tex]

Flight Times (h)
.
.
Alrjet Express
2. The double dot plot shows the
times, in hours, for flights of two
different airlines flying out of the
same airport. Compare the shapes,
centers, and spreads of the two
populations. Which airline's flights
had shorter flight times? (Examples 3 and 4)
:
+
4 5 6 7 8 9
+ Cross Country Airlines
10
1 2 3

Answers

The dot plot that was illustrated simply shows that the airline's flights had shorter flight times is Airjet Express.

What is a dot plot?

It should be noted that a dot plot simply means a plot that is used to display the data values.

In this case, the dot plot that was illustrated simply shows that the airline's flights had shorter flight times is Airjet Express. This was depicted in the data visualization.

Learn more about dot plots on:

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Which expression is not equivalent to 2² + 10+12?

Answers

Option 3 is not equivalent!

(Hope I could help!)

50 POINTS FOR CORRECT ANSWER!

Answers

Answer:

[tex]y\geq 2x+3[/tex]

Step-by-step explanation:

the gradient of a line is found by using the formula [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]

so we get [tex]\frac{5-3}{1-0}=\frac{2}{1} =2[/tex]

the y-intercept is where the line crosses the y-axis which is simply 3

so the equation of this line is [tex]y=2x+3[/tex] in the form [tex]y=mx+c[/tex]

but the question is asking for an inequality, specifically above the line so we get [tex]y\geq 2x+3[/tex]

(0,3)(-3,-3)

Slope:-

[tex]\\ \tt\Rrightarrow m=\dfrac{-3-3}{-3}=2[/tex]

Equation of line in point slope form

[tex]\\ \tt\Rrightarrow y-3=2x[/tex]

[tex]\\ \tt\Rrightarrow y=2x+3[/tex]

Put (0,0)

2(0)+3=3>0

Hence the inequality is

[tex]\\ \tt\Rrightarrow y\geqslant 2x+3[/tex]

What can you tell about the numbers?

Equations can be for example like: -1 ≤ x < 4

Answers

Answer:

Step-by-step explanation:

The numbers lies between 80 and 140

80 < x <140

Hollow dot at point 80 and 140 indicates that 80 and 140 are not included

2x-5y=9
3x+4y=2

solve the simultaneous questions

Answers

Answer for first question: x-intercept(s): (92,0)(92,0) y-intercept(s): (0,−95) for second question : x-intercept(s): (23,0)(23,0) y-intercept(s): (0,−12)

Step-by-step explanation:

1. 4 A box contains 300 discs of different colours. There are 100 pink discs, 100 blue discs and 100 orange discs. The discs of each colour are numbered from 0 to 99. Five discs are selected at random, one at a time, with replacement. Find


(i) the probability that no orange discs are selected. [3]


(ii) the probability that exactly 2 discs with numbers ending in a 6 are selected. [4]


(iii) the probability that exactly 2 orange discs with numbers ending in a 6 are selected. [4]


(iv) the mean and variance of the number of pink discs selected. [8]


1. 5 The mean number of defective batteries in packs of 20 is 1. 6. Use a binomial distribution to calculate the probability that a randomly chosen pack of 20 will have more than 2 defective batteries

Answers

The probability that no orange discs are selected is 0.1295 and the probability that exactly 2 discs with numbers ending in a 6 are selected is 0.0721.

How to calculate probability?

The probability that no orange discs are selected will be:

= 200C5 / 300C5

= 0.1295

The probability that exactly 2 discs with numbers ending in a 6 are selected will be:

= (30C2 × 270C3) / (300C5)

= 0.0721

The probability that exactly 2 orange discs with numbers ending in a 6 are selected will be:

= (100C2 × 290C3) / (300C5)

= 0.0092

The mean of the number of pink discs selected will be:

= np

= 5 × 1/3

= 5/3

The variance will be:

= 5 × 1/3 × 2/3

= 10/9 = 1.11

Learn more about probability on:

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American Eagle is having a 60 % clearance sale on all summer merchandise. The consumer purchased $342.57 of the summer merchandise. What is the final cost to the consumer? Sales tax is 5%.

Answers

Answer:

$143.88

Step-by-step explanation:

Look at image above...

I did not add this to the picture but to get the new total of $137.03, you need to subtract $205.54 (the 60% off) from the original total.

Using GEMDAS, what is the simplified form of this expression?
63 x 4 = 2x2=3 - 17

Answers

63 x 4 = 2x2=3 - 17? Simplified form of this expression: The chosen topic is not meant for use with this type of problem.

So instead I will simplify the matrix, if you simply the matrix, the ANSWER will be: 252 = 2x^2 = -14

please help me answer my question?

Answers

Answer:

Answer will be: $123.25

What is the measure of the
missing angle?
64°
97°
?
116°
O
o
78°
72°
80°
83°

Answers

Answer:

? = 83°

Step-by-step explanation:

the sum of the interior angles of a quadrilateral = 360°

sum the angles and equate to 360°

? + 116° + 97° + 64° = 360° , that is

? + 277° = 360° ( subtract 277° from both sides )

? = 83°

Answer:

it is an obtuse angle so that should get rid of some of the answer choices

Step-by-step explanation:

Jasmin rakes at two different houses. it takes her 2 1/3 hours to rake leaves at the first. it takes her 1/2 of that time to rake at the second house. how long does it take jasmin to rake at the second house?​

Answers

Answer:

Jasmin rastrilla en dos casas diferentes. le toma 2 1/3 horas rastrillar las hojas al principio. le toma 1/2 de ese tiempo rastrillar en la segunda casa. ¿Cuánto tiempo tarda el jazmín en rastrillar en la segunda casa?

Step-by-step explanation:

can someone help me fast -2 1/3 - (-5

Answers

Answer:

your answer is positive 8/3

Step-by-step explanation:

When you are subtracting something by a negative number, it is the same as adding by a positive. For example, this equation would be solved like:

-2 1/3 + 5      

Instead of -2 1/3 - (-5)

Hope that helps!

Which expression is equivalent to 8/6?
•/14
•/48
•/96
•/384

Answers

Answer:

./48

Step-by-step explanation:

Evin is modeling the temperature of water heating on the stove. She finds that the Fahrenheit temperature can
be modeled by the linear function F(m)=15.2m +58, where m is the number of minutes the water has been
heating. Give a physical interpretation of the parameters 15.2 and 58 in the linear model. Use appropriate
units in your explanation.

Answers

Step-by-step explanation:

i hope this helps the steps are within the photo

Which expression is equivalent to -18x -14?

Answers

Answer:

6(3x-2)

You can use the fact that the value which is outside of the bracket and in multiplication will be distributed to all terms inside with addition or subtraction( this is by distributive property of multiplication over addition).The expression which is equivalent to the given expression isWhat are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.The given expression is It can be seen that 18 is a multiple of 6 and 12 too is multiple of 6 Thus,we can write it as (since when bracket will be opened, the 6 value will distribute inside the bracket to each term joined by either addition or subtraction(which is negative addition).This expression is obtained by doing operations on given expression which didn't changed its value, so this expression obtained is equivalent to the given expression.(The given options are not correct, or it might be that the given expression is not written correctly).Remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in Thus,The expression which is equivalent to the given expression is

6(3x-2)

need help with this pls

Answers

The volume of the square base pyramid is 588 ft³

The Volume of the rectangular prism is 120 ft³

The Volume of a rectangular pyramid is 360 ft³

What is volume of a shape?

Volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.

Volume of a square base pyramid = 1 / 3 × B × h

where

B = base area

Therefore,

Volume of a square base pyramid = 1 / 3 × 7² × 12

Volume of a square base pyramid = 1764 / 3 = 588 ft³

Volume of a rectangular prism = lwh

Volume of a rectangular prism =  6 × 5 × 4 = 120 ft³

Volume of a rectangular pyramid = 1 / 3 lwh

Volume of a rectangular pyramid = 1 / 3 × 10 × 12 × 9 = 1080 / 3 = 360 ft³

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Ms. Sanchez's students were asked how many hours they spend participating in organized sports each week. Each row of the table represents one sample from the class. 5 Number of Hours Playing Sports 5 3 0 2 5 2. 6 2 3 4 3. 0 1 0 3 6. What is the mean of the sample in the third row? 0 2.2 2.8 O 3.0 0 3.4​

Answers

Answer:

1.62857142857

Step-by-step explanation:

Im sure you can round to 1.6 or 1.62.

help please and thank you!

Answers

(0,3) is the y intercept since is where the line cuts the y axis

Answer:

A (0,3)

Step-by-step explanation:

The Y-intercept is where X equals 0  

When X equals zero, Y equals 3.

The price of an item has risen to $187 today. Yesterday it was $110 . Find the percentage increase.

Answers

well, its difference is 187 - 110 = 77.

now, if we take 110 as the 100%, what is 77 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 110 & 100\\ 77& x \end{array} \implies \cfrac{110}{77}=\cfrac{100}{x}\implies \cfrac{10}{7}=\cfrac{100}{x} \\\\\\ 10x=700\implies x=\cfrac{700}{10}\implies x=70[/tex]

Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle? 82° 92° 102° 112°.

Answers

the sum of all interior angles in a polygon is

180( n - 2), n = number of sides

we know this one is a PENTAgon, so it has 5 sides, so the total for the interior angles will be

180( 5 - 2) = 540 degrees.

540° - 88° - 118° - 132° - 100° = 102° <- fifth angle.

The final interior angle of the pentagon measures 102°.

What is the measure of the fifth interior angle?

We know that for a figure of n sides, the sum of its interior angles is equal to:

S = (n - 2)*180°

Then for a pentagon, 5 sides, we have:

S = (5 - 2)*180° = 3*180° = 540°

Then if X is the missing interior angle, we must have:

88° + 118° + 132° + 100° + X = 540°

438° + X = 540°

X = 540° - 438° = 102°

So the measure of the last interior angle is 102°.

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#SPJ2

The Bayview community pool has a snack stand where Juan works part time he tracks his total sales during each shift last month this box plot shows the results what fraction of Juan’s shifts had a total sales of $225 or more

first that answers correct gets brainliest and an extra 5 points

Answers

25/100

Step-by-step explanation:

if he has a fraction of a bar graph it is 25% if that grah so in other words 25% as a fraction is 25/100

no links please and thanks

Answers

SORRY B GFVBSDJ FS VBDF HVDFSBV FNVFDHS

Reflect the shape A in the line x=1
What are the coordinates of the vertices of the image?

Answers

Answer:

(0,4) (0,7) (-2,4)

Step-by-step explanation:

The line x=1 is a vertical line that passes through the point (1,0). So we then place the new triangle at equal distance from the line.

I hope this helps!

please mark brainliest!!

Answer:

i think you have to multiply

the answer is- 28.512

Step-by-step explanation:

i dont know if this is right im sorry but i think it is


Solve each inequality.
X+5 < 6
Pls help

Answers

Answer:

x<1

Step-by-step explanation:

You would just subtract 5 from both sides of the equation. The sign does not flip because you are not multiplying or dividing any negative number across the sign.  So simply x+5 (-5) < 6 (-5). On the left side the 5 would cancel out.  on the other side 6-5 is equal to 1.

Answer:  x<1

Answer: x < 1

Step-by-step explanation: x + 5 < 6

Subtract 5 from both sides,

x < 1

Solve this for 100 points

Answers

Answer:

you may check in your book this question is related with stastics

Answer:

(S)=0

Step-by-step explanation:

Can someone help me with these questions

Answers

Answer:

Step-by-step explanation:

When you take the n-th root of a number, you can rewrite the expression by taking it to the 1/n-th power. For example:

[tex]\sqrt[n]{x} =x^\frac{1}{n}[/tex]

For the first expression, we can use this proprtery to get:

[tex]\sqrt[5]{a^x} =(a^x)^\frac{1}{5}[/tex]

Using exponent rules, you can combine the exponents by simply multiplying them to get:

[tex]a^\frac{x}{5}[/tex]

Moving on to the second expression. It is now the square root, or equivalently a 1/2 power. If we break up the terms under the radical into powers of 2, we can cancel a lot of the terms:

[tex]\frac{\sqrt{81a^3b^1^0} }{\sqrt{3}a } =\frac{\sqrt{81a^2*a*b^1^0} }{\sqrt{3}a }[/tex]

The a^2 and b^10 can be taken out of the radical because they have perfect roots:

[tex]\frac{\sqrt{81a^2*a*b^1^0} }{\sqrt{3}a }=ab^5\frac{\sqrt{81a} }{\sqrt{3}a }[/tex]

The square root of 81 has a perfect root of 9. We have:

[tex]ab^5\frac{\sqrt{81a} }{\sqrt{3}a }=9ab^5\frac{\sqrt{a} }{\sqrt{3}a }[/tex]

You can divide 9 and the square root of 3 by breaking up 9 into a product:

[tex]\frac{(3*3)ab^5}{\sqrt{3} } \frac{\sqrt{a} }{a }=3\sqrt{3} ab^5\frac{\sqrt{a} }{a }[/tex]

Simply by cancelling the 'a' terms to get:

[tex]3\sqrt{3} ab^5\frac{\sqrt{a} }{a }={3\sqrt{3}}\sqrt{a}b^5=3b^5\sqrt{3a}[/tex]

Plot the points A(7,1), B(-2, 3), C(1, -7) on the coordinate axes below. State the
coordinates of point D such that A, B, C, and D would form a parallelogram.
(Plotting point D is optional.)

Answers

      A             B

D              C

vectors

AB = DC

AB (-2-7 ; 3-1) => AB (-9 ; 2)

DC (1-x : -7-y)

1 - x = -9 => x = 10

-7-y = 2 => y = -9

D(10 ; -9)

Answer:

D = (10, -9)

Step-by-step explanation:

If ABCD is a parallelogram, then AB = DC and BC = AD

Therefore,

[tex]\sf x_A-x_B=x_D-x_C[/tex]

[tex]\sf \implies 7-(-2)=x_D-1[/tex]

[tex]\sf \implies x_D=10[/tex]

[tex]\sf y_A-y_B=y_D-y_C[/tex]

[tex]\sf \implies 1-3=y_D-(-7)[/tex]

[tex]\sf \implies y_D=-9[/tex]

Therefore, D = (10, -9)

Using technology, determine the quarterly payment on a 4 year loan of $16,231 at 5. 1% compounded quarterly. Round your answer to the nearest cent. A. $1,125. 69 c. $1,518. 85 b. $1,127. 86 d. $1,508. 31.

Answers

The quarterly payment on a 4-year loan of $16,231 at 5. 1% compounded quarterly is $1508.31.

Principle P= $16,231

Rate of interest r= 5.1% compounded quarterly

Tenure n= 4 year =16 quarters

What is the formula for quarterly payment?

The formula for quarterly payment is given as:

Quarterly payment = [tex]\frac{P*r/100(1+r/100)^n}{(1+r/100)^n-1}[/tex]

Where P=principle

r =quarterly rate of interest

n=tenure

Quarterly payment =[tex]\frac{16231*(5.1/100)(1+5.1/100)^16}{(1+5.1/100)^16-1}[/tex]

Quarterly payment =$1508.31

Therefore, the quarterly payment on a 4-year loan of $16,231 at 5. 1% compounded quarterly is $1508.31.

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