give the equation for the new circle obtained by translating the circle (x-2)^2+(y+4)^2=36 by 6 units to the right and 4 units up explain and show your work please

Answers

Answer 1

Answer:

equation for the new circle is;

(x - 8)² + y² = 36

Step-by-step explanation:

There are two types of translations and they are translation horizontally and vertically. Combining both of them in the context of this question, to translate a circle 6 units to the right and 4 units up, we take our equation,

(x - 2)² + (y + 4)² = 36 and subtract 6 from the x - term and 4 from the y - term to get the equation of the new circle.

This gives us;

(x - 2 - 6)² + (y + 4 - 4)² = 36

This gives;

(x - 8)² + y² = 36


Related Questions

Determine the value of x in this polygon.

Answers

Answer:

X24

Step-by-step explanation:

You bought a magazine for $3 and two notepads. You spent a total of $13. How much did each notepad cost? *

Answers

Answer:

$5

Step-by-step explanation:

We want to find the cost of a notepad considering a magazine costs $3 and we buy 2 notepads and the total cost of the magazine and the 2 notepads is $13 so we can set up an equation to represent this situation. Let 'n' be notepads and that's the value we are solving for so,

⇒ Form the equation

→ 2n + 3 = 13

⇒ Minus 3 from both sides to isolate 2n

→ 2n = 10

⇒ Divide both sides by 2 to find the cost of one notepad

→ n = 5

The cost of one notepad is $5 considering that a magazine cost's $3 and two notepads and total is $13.

HELP. ITS ABOUT FUNCTIONS! HELPPPPPPPPPPPPPP HELPPPPPPP

Answers

Answer:

B

Step-by-step explanation:

It cannot be C. The Y-intercept of Function W is 30, while the Y-intercept of Function Z is 15.8. Now, we are left with A, B, and D.

It cannot be D, because 30 is not less than 15.8. Now, we are left with options A and B.

Function Z as an equation is approximately y=-1/24x+15.8.

The slopes are NOT equal, so the answer cannot be A.

Explanation why it's B:

1/16 is bigger than 1/24, however, since the fractions are NEGATIVE, -1/16 is actually LESS THAN -1/24. The slopes of Function W is less than the slope of Function Z.

Answer:

B. the slope of function W is less than he slope of function Z

Step-by-step explanation:

Function W:

y= - 1/16x+30

Function Z:

from the table we can see it is decreasing function with step change of -0.04

using the data from the table we can put the function in y= mx + b format:

x=0 ⇒ y= 15.8      ----- interceptx=1 ⇒ y= 15.7615.76- 15.8 = - 0.04= - 4/100 = -1/25     ----- slope

as per above, we get the the form of function Z

y= -1/25x+15.8

we can now compare the slops and intercepts of functions W and Z

m - is the slope: -1/16 and - 1/25

-1/25>-1/16 ⇒ the slope of function W is less than Z

b is the y-intercept: 30 and 15.8

30>15.8 ⇒ the y-intercept of function Z is less

As per above the correct option is

B. the slope of function W is less than he slope of function Z

slope (-5,12)(-17,4)

Answers

So the right answer is 4/11

please see attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex] = \frac{2}{3} [/tex]

Step-by-step explanation:

[tex]slope = \frac{y1 - y2}{x1 - x2} \\ = \frac{12 - 4}{ - 5 - ( - 17)} \\ = \frac{8}{ - 5 + 17} \\ = \frac{8}{12} \\ = \frac{2}{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

plz help me how would you solve 4x + 2y = 18, 3x - 5y =20 by elemination

Answers

Answer: x = 5, y = -1

Step-by-step explanation:

Equation 1: 4x + 2y = 18

Equation 2: 3x - 5y = 20

In order to eliminate one of the variables , find the LCM of either x or y.

I chose to eliminate y.  The LCM of 2 & 5 is 10.

Multiply the entire equation so the coefficient of the variable equals the LCM.

Then add the equations and solve for the remaining variable.

5(4x + 2y = 18)       -->        20x + 10y = 90

2(3x - 5y = 20)      -->           6x  - 10y = 40

                                           26x          = 130  

                                          ÷26            ÷26

                                                x         =  5

Next, input x = 5 into either of the equations to solve for y.

Equation 1: 4x + 2y = 18

                 4(5) + 2y = 18

                  20  + 2y = 18

                -20            -20

                           2y = -2

                          ÷2     ÷2

                             y = -1

What is the sum of the greatest and least numbers below: \[8\frac15, \qquad -8\frac25, \qquad -\frac{26}{3}, \qquad -\frac{54}7, \qquad \frac{53}{6}.\]

Answers

Answer:

[tex]\dfrac{47}{42} \ \ \ \ \ OR \ \ \ \ 1.1[/tex]

Step-by-step explanation:

The objective of this question is to find the  sum of the greatest and least numbers below:

[tex]\[8\frac15, \qquad -8\frac25, \qquad -\frac{26}{3}, \qquad -\frac{54}7, \qquad \frac{53}{6}.\][/tex]

To do this ; we will need to find the decimal component of each of them and equate them on a number line before summing the greatest and least numbers.

[tex]8 \frac{1}{5} = \dfrac{8*5+1}{5} \\ \\ = \dfrac{41}{5} \\ \\ = 8.2[/tex]

[tex]-8 \frac{2}{5} =- \dfrac{8*5+2}{5} \\ \\ =- \dfrac{42}{5} \\ \\ = -8.4[/tex]

[tex]-\dfrac{26}{3}= - 8.7[/tex]

[tex]-\dfrac{54}{7} = - 7.7[/tex]

[tex]\dfrac{53}{6}= 8.8[/tex]

Thus; the above decimal component of the fractions given are :

8.2, -8.4, -8.7 , -7.7 and 8.8

We are to find the sum of the greatest and the smallest number ; on a number line; we will realize that the positive side is greater than the negative side , As such the greatest number from the positive side will be 8.8 and the smallest number will be -7.7

The sum of 8.8 + ( -7.7 ) = 8.8 - 7.7

= 1.1

i.e

[tex]\dfrac{53}{6} + (- \dfrac{54}{7} )[/tex]

[tex]\dfrac{53}{6} - \dfrac{54}{7}[/tex]

[tex]\dfrac{53}{6} - \dfrac{54}{7} = \dfrac{53*7 - 6*54}{42} \\ \\ = \dfrac{47}{42} \\ \\ = 1.1[/tex]

Answer:

47/42

Step-by-step explanation:

PLEASE HELP!! if sec x=5/3 what is the value of b? NL=20 LM=3b angle of L is x degrees.


a. b=4

b. b=5

c. b=6

d. b=7

Answers

Answer:

a. b=4

Step-by-step explanation:

[tex]\sec \theta =\dfrac{1}{\cos \theta} = \dfrac{Hypotenuse}{Adjacent}[/tex]

From the attached triangle drawn below:

NL=20,  LM=3b, [tex]\angle L=x^\circ[/tex]

[tex]\sec x =\dfrac{20}{3b}[/tex]

Since we are told that:

[tex]\sec x =\dfrac{5}{3}\\$Then:\\\dfrac{20}{3b} =\dfrac{5}{3}\\$Cross multiply\\5 \times 3b =20 \times 3\\15b=60\\$Divide both sides by 15\\15b \div 15 =60 \div 15\\b=4[/tex]

The correct option is A.

Answer:

B= 4

Step-by-step explanation:

I got it right on the test

Which expression is equivalent to (- 2c / d^2)^3

Answers

-8c^3/d^6 is equivalent to the expression

Answer:

-8c^3/d^6

You are correct!

∠A=8x−10 ∘
∠B=3x+90 ∘

PLEASE PLEASE HELP OR I WON'T PASS MY MATH CLASS AND I WILL HAVE TO TAKE ANOTHER YEAR OF MATH

Answers

Answer:

Step-by-step explanation:

if vertical angles (formed when two lines cross each other) or congruent angles (equal degree measure total)

8x-10=3x+90

5x=100

x=20

if complementary (together equal 90 degrees)

8x-10+3x+90=90

11x+80=90

11x=10

x=(10/11)

which in decimal form is about 0.90

if supplementary (together equal 180 degrees)

8x-10+3x+90=180

11x+80=180

11x=100

x=(100/11)

which in decimal form is about 9.09

Which is true about the degree of the sum and difference of the polynomials
3x^5y - 2x^3y^4 - 7xy^3 and -8x^5y + 2x^3y^4 + xy^3 ?

Answers:
Both the sum and difference have a degree of 6
Both the sum and difference have a degree of 7
The sum has a degree of 6, but the difference has a degree of 7
The sum has a degree of 7, but the difference has a degree of 6

Answers

Answere is C

The sum has a degree of 6 but the difference haa a degree of 7

The true statement about the degree of the sum and difference of the polynomials 3x⁵y - 2x³y⁴-7xy³ and -8x⁵y +2x³y⁴ + xy³ is "the sum has a degree of 6, but the difference has a degree of 7."

What is a polynomial?

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

Given:

There are two polynomials,

3x⁵y - 2x³y⁴-7xy³ and -8x⁵y +2x³y⁴ + xy³.

The sum of the polynomials,

= 3x⁵y - 2x³y⁴-7xy³ -8x⁵y +2x³y⁴ + xy³.

=  5x⁵y -6xy³.

And the degree is 6.

The difference of the polynomials,

=  3x⁵y - 2x³y⁴-7xy³ + 8x⁵y - 2x³y⁴ - xy³.

= 13x⁵y - 4x³y⁴-8xy³.

And the degree is 7.

Therefore, the sum has a degree of 6, but the difference has a degree of 7.

To learn more about the Polynomials;

brainly.com/question/11536910

#SPJ2

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

Answers

Answer:

- 18y = 1

Step-by-step explanation:

Adding the 2 equations term by term on both sides gives

(- 5x + 5x) + (- 9y - 9y) = (3 - 2), that is

0 + (- 18y) = 1

- 18y = 1

evaluate -5+(-5r)+10

Answers

It is 5(1-r). The 5 is not negative because you add the ten.

Write an expression for the situation described. Each person's share if 'p' people share 8 slices of pizza equally.

Answers

Answer:

The expression that represent each person's share is: [tex]y(p) = \frac{8}{p}[/tex]

Step-by-step explanation:

To divide a pizza, or anything else, equally among a certain number of people, we need to divide the total of pizza available by the number of people who will eat the pizza. In this case there are 8 slices and 'p' people, therefore:

[tex]y(p) = \frac{8}{p}[/tex]

In order to validate the expression, we can see that if 8 people eat the pizza, each gets one slice, because 8 divided by 8 is 1, while if 4 people eat the pizza each get 2 and so on.

The expression that represent each person's share is: [tex]y(p) = \frac{8}{p}[/tex]

4.7 - 2.3 = 4.7 + (-2.3) =

Answers

Answer:

2.4

General Formulas and Concepts:

Math

Base 10 Decimal System

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

4.7 - 2.3

Step 2: Evaluate

Subtract

2.4

Answer:

2.4

Step-by-step explanation:

Solve The System Of Equations

Answers

Answer:

x=4, y=-7

Step-by-step explanation:

A) -8x - 3y = -11 .(-5) -----> A) 40x + 15y = 55

B) -7x - 5y = 7 . (3) ------> B) -21x -15y = 21

A) + B) ---->  19x = 76 --------> x = 4

-8 . 4 - 3y = -11

-32 - 3y = -11

32 + 3y = 11

3y = 11 - 32

3y = -21

y = -7

x=4 :)) and y=-7 :)) hope this helps

Solve and graph. Thank you so much.

Answers

Answer:

Step-by-step explanation:

-9 + b/4 >= -4

b/4 >= 5

b >= 20

the solution is d

URGENT: At what annual rate of simple interest must $12,000 be invested to earn $135 in interest each quarter? (I will give brainliest)

Answers

Answer:

4.5%

Step-by-step explanation:

Firstly we should understand that a quarter is every three months.

So if $135 is earned each quarter, then 4 * 135 = $540 is earned per annnum

We use the simple interest formula to get the rate.

Mathematically;

I = PRT/100

where P is the amount deposited = 12,000

R is what we are looking for which is the rate

T is the time which is 1 year

I is the interest which is 540

We can rewrite the simple interest formula to be:

100I = PRT

R = 100I/PT

Thus substituting the values we have;

R = (100 * 540)/(12,000 * 1) = 4.5%

Answer:

4.5%

Step-by-step explanation:

Using the simple interest formula to tackle this question.

[tex]SI = \frac{PRT}{100}[/tex]

P = principal = $12,000

R = rate (in %) = ?

T = Time(in years) = 1/4 years

135 = [tex]\frac{12000*R}{100*4}[/tex]

[tex]135 = \frac{12000R}{400}\\ 54000 = 12000R\\R = \frac{54000}{12000}\\ R = 4.5\ %[/tex]

The annual rate of simple interest is 4.5%

What is the value for f(x) = 32x+1 when x = 1/2

Answers

Answer:

9

Step-by-step explanation:

We can solve this by plugging x into the function:

3^(2(1/2) + 1)

=3^(1+1)

=3^2

= 9

Answer: The answer would be 9

Step-by-step explanation:

could i please get brainliest

Helpppppppp here plz

Answers

Answer:

x + x+12 + 3(x+12) = 123

x = 15

Step-by-step explanation:

Jamil : x

Kiera : x+12

Luther : 3 ( x+12)

x + x+12 + 3(x+12) = 123

Distribute

x + x+12 + 3x+36 = 123

Combine like terms

5x+ 48 = 123

Subtract 48 from each side

5x+48-48 = 123-48

5x =75

Divide by 5

5x/5 = 75/5

x = 15

Answer:

Equation:

123 = x + 12 + x + 3(12 + x)

Solution:

x = 15

Step-by-step explanation:

Jamil: x

Kiera: 12 + x

Luther: 3(12 + x)

Total: 123 badges

Equation:

123 = x + 12 + x + 3(12 + x)

Solve:

123 = x + 12 + x + 3(12 + x)

123 = x + 12 + x + 36 + 3x

123 = 5x + 48

-48           -48

75 = 5x

/5     /5

15 = x

Therefore, the value of x is 15.

How is the graph of log (x – 2) + 1 translated from the graph of log x?

Answers

Answer:

See the two translations described below

Step-by-step explanation:

Start with the graph of y = log x.  This graph passes through (1, 0) and exists only for x > 0.  The line x = 0 is its vertical asymptote.

Translating this graph 2 units to the right results in h(x) = log (x  - 2).

Translating the graph of h(x) = log (x  - 2) upward by 1 unit results in the graph of log (x – 2) + 1.

Evaluate: 14/2 - 3 + 6/3

Answers

Answer:

Brainliest!!!

Step-by-step explanation:

see picture

Answer:

[tex]6[/tex]

[tex] \frac{14}{2?} - 3 + \frac{6}{3 ?} \\ 7 - 3 + \frac{6}{?3 } = 6 \\ 4 + \frac{6}{?3} = 6 \\ 4 + 2 = 6[/tex]

150 miles converted to kilometres?

Answers

Answer:

erm

Step-by-step explanation:

241.402

What are the foci of the hyperbola represented by the equation (x^2)/64 - (y^2)/32 =1

Answers

Answer:

x = √2y^2 + 64 or x = √2y^2 + 64

Step-by-step explanation:

Solve for x.

x^2/64 - y^2/32 = 1

Step 1: Add 1/32 y^2 to both sides.

1/64 x^2 + -1/32 y^2 + 1/32 y^2 = 1 + 1/32 y^2

Step 2: Divide both sides by 1/64.

1/64 x^2/ 1/64 = 1/32 y^2 + 1/ 1/64

x^2 = 2y^2 + 64

Step 3:

x = √2y^2 + 64 or x = √2y^2 + 64

Answer:

x = √2y^2 + 64

Step-by-step explanation:

= 1/64 x^2 + -1/32 y^2 + 1/32 y^2 = 1 + 1/32 y^2

= 1/64 x^2/ 1/64 = 1/32 y^2 + 1/ 1/64

= x^2 = 2y^2 + 64

= x = √2y^2 + 64

Hope this helps!

find the derivatives of the following implicit function

Answers

Answer:

[tex]\frac{d}{dx}\left(y\right)=\frac{2-6x+6y}{-6x+2y+1}[/tex]

Step-by-step explanation:

[tex]3x^2-6xy+y^2=2x-y\\\mathrm{Treat\:}y\mathrm{\:as\:}y\left(x\right)\\\mathrm{Differentiate\:both\:sides\:of\:the\:equation\:with\:respect\:to\:}x\\\frac{d}{dx}\left(3x^2-6xy+y^2\right)=\frac{d}{dx}\left(2x-y\right)\\\frac{d}{dx}\left(3x^2-6xy+y^2\right)=6x-6\left(y+x\frac{d}{dx}\left(y\right)\right)+2y\frac{d}{dx}\left(y\right)\\\frac{d}{dx}\left(2x-y\right)=2-\frac{d}{dx}\left(y\right)\\6x-6\left(y+x\frac{d}{dx}\left(y\right)\right)+2y\frac{d}{dx}\left(y\right)=2-\frac{d}{dx}\left(y\right)[/tex]

[tex]\mathrm{For\:convenience,\:write\:}\frac{d}{dx}\left(y\right)\mathrm{\:as\:}y^{'\:}\\6x-6\left(y+xy^{'\:}\right)+2yy^{'\:}=2-y^{'\:}\\\mathrm{Isolate}\:y^{'\:}:\quad y^{'\:}=\frac{2-6x+6y}{-6x+2y+1}\\y^{'\:}=\frac{2-6x+6y}{-6x+2y+1}\\\mathrm{Write}\:y^{'\:}\:\mathrm{as}\:\frac{d}{dx}\left(y\right)\\\frac{d}{dx}\left(y\right)=\frac{2-6x+6y}{-6x+2y+1}[/tex]

Help I don't understand it.

Answers

Answer:

6/15 * 2/14 = 12/210

Step-by-step explanation:

This is compound probability. To calculate compound probability, you need to multiply the probabilities of each event happening together.

In this example, the events are selecting a pineapple cake, then a strawberry cake.

Let's find the probabilities!

There are 2 strawberry cakes, 6 pineapple cakes, and 7 chocolate cakes. This means that he has 15 cakes in total.

Therefore, the probability of selecting a pineapple cake is 6/15.

Now, if we assume that he has selected a pineapple cake already, there are now 14 cakes.

Next, the probability of selecting a strawberry cake is now 2/14. This is because he already took a pineapple cake, and now he has to pick a strawberry cake out of the remaining 14 cakes.

Multiply these two probabilities to find the compound probability: 12/210 ( this could be further simplified, but that's how they give it to you! )

Hope this helps! Please feel free to contact me if you have any further questions :)

10x+9=4x -9 solve

please help

Answers

Answer:

x = -3

Step-by-step explanation:

To solve this, you need to isolate the variable x, this means only one side of the equation should have the variable x. To do this, you need to do the opposite operation from what's given (if it's addition, use subraction; if it's multiplication, use division; these work vise versa)

Subtract 9 from both sides of the equation. This gives you 10x = 4x - 18.Subtract 4x from both sides of the equation. This gives you 6x = -18.Divide both sides by 6. This gives you x = -3

The final answer is x = -3

The Arc de Triomphe measures 50 m in height. You are asked to make a replica model in art class using a scale of 1:275. What should the height of your model be in millimeters?

Answers

Answer:

180 millimeters.

Step-by-step explanation:

To find the height of the replica, a ratio can be set up:

[tex]\frac{x}{50}= \frac{1}{275}[/tex]

Cross multiply:

[tex]275x = 50[/tex]

Divide both sides by '275:

x≈0.18 meters

Convert 'meters' to 'millimeters' by multiplying by a thousand:

0.18 × 1000 = 180 millimeters.

Rename 1 3/4 as an improper fraction.

Answers

Answer:

7/4

Step-by-step explanation:

1 3/4=1 x 4=4 + 3=7/4

The hypotenuse, c, of right triangle ABC is 5.0 cm long. Give the trigonometry ratio cosA=0.50 for angle A, what is the area of the triangle to the nearest tenth of a cm?

Answers

Answer:

[tex]\frac{25\sqrt{3} }{8}[/tex]

Step-by-step explanation:

CosA = [tex]\frac{1}{2}[/tex] , so <A is 60º

Hypotenuse (c) is 5

Opposite is (b)

Adjascent is (a)

cos A = [tex]\frac{adjascent}{hypotenuse}[/tex] -----> [tex]\frac{1}{2} = \frac{a}{5}[/tex] ---------> a = [tex]\frac{5}{2}[/tex]

Pytagoras

[tex]5^{2} = (\frac{5}{2}) ^{2} + b^{2}\\ b^{2} = 25 - \frac{25}{4} \\b^{2} = \frac{75}{4} \\\\b = \frac{5\sqrt{3} }{2}[/tex]

A = b . a . 1/2

A = [tex]\frac{25\sqrt{3} }{8}[/tex]

CosA =  , so <A is 60º

Hypotenuse (c) is 5

Opposite is (b)

Adjascent is (a)

cos A =  ----->  ---------> a =  

Pytagoras

A = b . a . 1/2

A =

Step-by-step explanation:

Which function has a negative discriminant value?

Answers

Answer:

i believe that the answer is a but if its not that then it must be d

Step-by-step explanation:

sorry if i'm wrong

Answer:

The guy above me is wrong. The answer is B

Step-by-step explanation:

edge

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Which of these is the most practical method to prevent global water shortage? A. Stop planting trees and shrubs in gardens. B. Conserve, recycle, and reuse water in households. C. Stop using appliances like washing machines and dishwashers. D. Discourage setting up of power plants which need cooling water. In a box-and-whisker plot, the interquartilerange is a measure of the spread of themiddle half of the data. Find the interquartilerange for the data set: 10, 3, 7, 6, 9, 12, 13. ASSERTION AND REASON DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). (c) Assertion (A) is true but reason (R) is false. (d) Assertion (A) is false but reason (R) is true. Questions: 1. Assertion : Camphor disappears without leaving any residue. Reason : Camphor undergoes sublimation. (1 Point) Option a Option b Option c Option d 2. Assertion : Liquids diffuse easily as compared to gases. Reason : Inter molecular forces are greater in liquids. (1 Point) Option a Option b Option c Option d 3.Assertion : There is no change in the temperature of a substance when it undergoes a change of state through it is still being heated. Reason : The heat supplied is absorbed either as latent heat of fusion or as latent heat of vaporization. (1 Point) Option a Option b Option c Option d 4.Assertion : During evaporation of liquids, the temperature remains unaffected. Reason : Kinetic energy of the molecules is directly proportional to temperature. (1 Point) Option a Option b Option c Option d 5.Assertion : It is easier to cook food at high altitudes. Reason : The boiling point of water decreases at high altitudes. (1 Point) Option a Option b Option c Option d 6.Assertion : A gas can be easily compressed by applying pressure. Reason : Since the inter-particle spaces in the gaseous state are very small, they cannot be decreased by applying pressure. (1 Point) Option a Option b Option c Option d 7.Assertion : The inter molecular forces in solid state are stronger than those in the liquid state. Reason : The space between the particles of matter is called inter molecular space. (1 Point) Option a Option b Option c Option d 8.Assertion : When a beam of light is passed through a colloidal solution placed in a dark place the path of the beam becomes visible. Reason : Light gets scattered by the colloidal particles. (1 Point) Option a Option b Option c Option d 9.Assertion : A solution of table salt in a glass of water is homogeneous. Reason : A solution having different composition throughout is homogeneous. (1 Point) Option a Option b Option c Option d 10.Assertion : A true solution do not exhibits Tyndall effect. Reason : A true solution is a heterogeneous mixture.Immersive Reader (1 Point) Option a Option b Option c Option d John and Trey both leave the coffee shop at the same time, but in opposite directions. If Trey travels 7 mph faster than John and after 5 hours they are 85 miles apart, how fast is each traveling?John is traveling __________ mphTrey is traveling __________ mph la sala es pequena: solo tiene un televisor y___