Give the equation for the new circle obtained by translating the circle (x+2)^2 + (y-1)^2 = 25 by 3 units to the right and 2 units down

Answers

Answer 1

Answer:

(x - 1)^2 + (y + 1)^2 = 25

Step-by-step explanation:

The equation of a circle centered in the point (a, b) with a radius R is:

(x - a)^2 + (y - b)^2 = R^2

If we translate the circle 3 units to the right and 2 units down, then we translate the center 3 units to the right and 2 units down.

So if the original center was (a, b), and we translate it 3 units to the right, then we need to add 3 to the x-component, we get:

(a + 3, b)

Now if we want to move the center two units down, we need to subtract 2 in the y-value, we get:

(a + 3, b - 2)

This will be the new center of the circle.

Now let's look at our circle, we have:

(x + 2)^2 + (y - 1)^2 = 25

The center of this circle is:

(-2, 1)

After the translation, the center will be:

(-2 + 3, 1 - 2)

(1, -1)

Then the equation for the translated circle is:

(x - 1)^2 + (y - (- 1))^2 = 25

(x - 1)^2 + (y + 1)^2 = 25


Related Questions

How do I give Brainlest

Answers

Answer:

Press the crown button

Step-by-step explanation:

PLEASE HELP RATIONAL EQUATIONS

Answers

It’s the first one.

Write the absolute value inequality in the form |x-b| c that has the solution set x<-5 or x>7.

Answers

Answer:
|x - 1| > 6
Step-by-step explanation:
b is the centre:
(-5 + 7)/2
2/2 = 1
b = 1
c is the distance from the centre
c = 7 - 1 = 6
Since it's an or case, > with the modulus
|x - 1| > 6

Ann runs a day care center. Of the last 18 children to enroll at the day care center, 8 of them have been elementary school students. Considering this data, how many of the next 9 children to enroll should you expect to be elementary school students?

Answers

4 children i think. since you’re halving 18 you will half the 8 as well

We would expect that 4 of the next 9 children to enroll will be elementary school students.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

If 8 out of the last 18 children to enroll at the daycare center were elementary school students,

We can find the fraction of elementary school students in that group by dividing the number of elementary school students by the total number of children:

= 8/18

= 4/9

This means that 4 out of every 9 children enrolled were elementary school students.

If we want to predict how many of the next 9 children to enroll will be elementary school students,

We can use this ratio:

4/9 of 9 children

= (4/9) x 9

= 4

Therefore,

We would expect that 4 of the next 9 children to enroll will be elementary school students.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ3

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

35

Step-by-step explanation:

Rows: 7+7+7+7+7=35

Columns: 5+5+5+5+5+5+5=35

Find the measure of the indicated angle to the nearest degree.

Answers

Given:

A right triangle with legs 5 units and 6 units.

To find:

The measure of angle opposite of side whose length is 5 units.

Solution:

In a right angle triangle,

[tex]\tan \theta=\dfrac{Opposite}{Adjacent}[/tex]

Let [tex]\theta [/tex] be the missing angle. Then, for the given triangle,

[tex]\tan \theta=\dfrac{5}{6}[/tex]

[tex]\theta=\tan^{-1}\dfrac{5}{6}[/tex]

[tex]\theta=39.805571^\circ[/tex]

Round the value to the nearest degree.

[tex]\theta\approx 40^\circ[/tex]

Therefore, the measure of the required angle is 40 degrees.

2. The formula below, the legs of the triangle are a and b. The hypotenuse is c.

A^2 + b^2=c^2

true or false

Answers

Answer:

Maybe True

Step-by-step explanation:

Hence, to find the area of a triangle, we need to know the base (b) and height (h) of it. This formula is applicable to all types of triangles, whether it is scalene, isosceles or equilateral.

BRAINILIEST PLEASE

Answer:

2. The formula below, the legs of the triangle are a and b. The hypotenuse is c.

True

Juana went to a restaurant and bought 6 cheeseburgers and 4 orders
of fries and spent a total of $26. Write an equation for the scenario where
C is the price of cheeseburgers and Fis the price of fries she bought.

Answers

Answer:

6c + 4f = 26

Step-by-step explanation:

Part B:

Louis wants to buy skis that have a regular price of $328. They have been marked down 25% off the regular price. Louis calculates the new total price including tax.

How much money will Louis save on the total cost because of the markdown?

Answers

Answer:

Part A

Calculate sale price and add sales tax:

20% off $339 add tax ⇒ $339*0.8*1.085 = $294.25 ≤ $30015% off $310 add tax ⇒ $310*0.85*1.085 = $285.90 ≤ $30025% off $365 add tax ⇒ $365*0.75*1.085 = $297.02  ≤ $30020% off $300 add tax ⇒ $300*0.8*1.085 = $260.40  ≤ $300

Each price is acceptable as less than $300

Part B

Markdown with tax added:

25% off $328 add tax ⇒ $328*0.75*1.085 = $266.91

Without discount, the price with the tax added:

$328*1.085 = $355.88

The difference is the amount Luis has saved:

$355.88 - $266.91 = $88.97

Please helpppppp! WILL GIVE BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

Its hard  to tell the width and length from this way, but here i got 104 square inches.

Write the product using exponents. (1/3.(1/3)(1/3) Using exponents, the product is​

Answers

Answer:

The answer is 1/3 to the power of 3

Step-by-step explanation:

20 POINTS!!!!
Jacob deposits $60 into an investment account with an interest rate of 4%, compounded annually. The equation,
y = 60(1 + 0.04)x, can be used to determine the number of years, x, it takes for Jacob's balance to reach a certain amount of money, y. Jacob graphs the relationship between time and money.

1. What is the y-intercept of Jacob's graph?
2. If Jacob doesn't deposit any additional money into the account, how much money will he have in eight years? Round your answer to the nearest cent.

Answers

Answer:

1. 60 is his y-intercept

2. $82.11 in his account after 8 years

Answer:

The y-intercept of Jacob's graph is $60, which represents the initial amount of money he deposited into the account.

If Jacob doesn't deposit any additional money into the account, the amount of money he will have in eight years can be found by plugging in x=8 into the equation y = 60(1 + 0.04)^x and evaluating:

y = 60(1 + 0.04)^8

y ≈ $82.08

So the answer to the second question is that Jacob will have approximately $82.08 in the account after eight years, assuming he doesn't deposit any additional money into the account.

Hope this helps,
Ariana :)

state the angle pair relationship then find the value of x

Answers

Answer:

x = 11

Step-by-step explanation:

The given angles are corresponding angles and are congruent, then

12x - 9 = 10x + 13 ( subtract 10x from both sides )

2x - 9 = 13 ( add 9 to both sides )

2x = 22 ( divide both sides by 2 )

x = 11

Please help math problem

Answers

Answer :im not very sureeee

Step-by-step explanation:

Given the matrices AA and BB shown below, find A-B.A−B. A=\begin{bmatrix} 3 \\ 0\end{bmatrix}\,\,\,\,B=\begin{bmatrix} -1 \\ 0\end{bmatrix} A=[ 3 0 ​ ]B=[ −1 0 ​ ]

Answers

Answer:

[4  0]

Step-by-step explanation:

Given that:

[tex]A=[3\ \ 0], B=[-1\ \ 0][/tex]

Matrices is an array of numbers, symbols and expressions arranged in rows and columns. Matrices can be used to solve system of equations. Many mathematical operations can be done on matrices such as addition, subtraction, multiplication, scalar multiplication and so on.

Addition and subtraction of two matrices can be done if they have the same dimensions.  This is done by simply adding or subtracting the corresponding entries in matrices.

[tex]A=[3\ \ 0], B=[-1\ \ 0]\\\\A-B=[3-(-1) \ \ 0-0]=[4\ \ 0][/tex]

please help i’ll give brainliest

Answers

Answer:

1st option

Step-by-step explanation:

Thats a weird problem tho,

-Gage Millar, Algebra 2 tutor

Which sets of side lengths could form a triangle?
A. 3 centimeters, 4 centimeters, 9 centimeters
u
B. 3 centimeters, 6 centimeters, 9 centimeters
C.4 centimeters, 5 centimeters, 9 centimeters
D. 4 centimeters, 6 centimeters, 9 centimeters
E. 5 centimeters, 5 centimeters, 9 centimeters

Answers

Answer:

D and E

Step-by-step explanation:

The 2 smallest sides added up are larger than the biggest side

Answer:

I tried all of them but I keep getting decimals instead of 9

Step-by-step explanation:

What's the answer to this problem?

Answers

Answer:

no real solutions

Step-by-step explanation:

- Rewrite equations:

y=3x−11;−3x+y=−13

Step: Solvey=3x−11 for y:

y=3x−11

Step: Substitute 3x−11 for y in−3x+y=−13:

−3x+y=−13

−3x+3x−11=−13

−11=−13(Simplify both sides of the equation)

−11+11=−13+11(Add 11 to both sides)

0=−2

Answer:

No solutions.

6c^2 - 5d + 8 when c =5 and d=4

Answers

Answer:

138

Step-by-step explanation:

First, we can simply replace the variables with their numerical values.

Whenever you see a number with a letter (variable) in front of it, this means to multiply.

c=5 and d=4

6 × 5^2 - 5 × 4 + 8

Since there are multiple operations in this expression, we must use PEMDAS.

ParenthesisExponentiation (exponents)Multiplication/Division (Solve whichever comes first)Addition/Subtraction (Solve whichever comes first)

--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Now, we can apply the operations.

There are no parenthesis.

In this expression, exponents are present.

6 × 5^2 - 5 × 4 + 8

6 × 25 - 5 × 4 + 8

--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

There is multiplication.

6 × 25 - 5 × 4 + 8

150 - 5 × 4 + 8

150 - 20 + 8

--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

There is subtraction.

150 - 20 + 8

130 + 8

--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

There is addition.

130 + 8

158

Therefore, 6 × 5^2 - 5 × 4 + 8 = 138.

In an
ecosystem, marsh snails feed
on phytoplankton and painted turtles
feed on marsh snails. Pollution has resulted in the depletion of
phytoplankton. What effect would this situation likely have on the populations
of marsh snails and painted turtles?

Answers

Answer:

decrease/decrease.

Step-by-step explanation:

both will decrease in quantity due to lack of food from the primary producer. Once the prey reduces, it affects the population of the predator.

Why is 24lb greater than 124oz?

Answers

Answer:

1lb= 16oz

24(16)= 384

24lb= 384oz

Step-by-step explanation:

24lb is greater than 124oz after you convert the pounds to oz

if i'm correct please mark me as brainliest

7 2/5 - 3 1/8=
Another one

Answers

Answer:

The answer is 4.725

Step-by-step explanation:

Answer:

4.725 is the correct answer

Step-by-step explanation:

Damon buysabaseballhelmetonlinefor$16.Ifshippingandhandlingareanadditional20%oftheprice,howmuchshippingandhandlingwillDamonpay?

Answers

16x0.2=3.2

16+3.2=19.2

So the price is $19.20

THIS IS THE QUESTION I NEED HELP WITH! PLEASE HELP!!! MATH EXPERTS

Answers

Answer:

surface area is 408cm^2

Step-by-step explanation:

i dont know how to find the volume

how do i solve a division problem

Answers

Answer:

Step-by-step explanation:

The steps are more or less the same, except for one new addition:

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

Which of the following transformations does not
preserve congruence?
F. (x,y) → (-x, -Y)
G. (x, y) = (-y, -x)
H. (x, y) = (x + 9.y + 9)
J. (x,y) → (9x, 9y)

Answers

Answer:

(9x, 9y) dilation

Step-by-step explanation:

(9, 9y) is the answer because F is 180 degrees rotations, G is not real, H is translations, and J is dilations and dilations is multiplying which makes the transformation non congruent.

Your welcome

Please help... Geometry

Answers

Answer:

i cant load the picture

Step-by-step explanation:

Answer:

[tex] \bold{a) \: BC} \: = \bold{ \boxed{13 \sqrt{2} }}[/tex]

[tex] \bold{b) \: x = 7}[/tex]

[tex] \large{ \mathbb{ \purple{hope \: it \: helps}}}[/tex]

Which of the following sets of numbers contains only rational numbers?

Answers

Answer:

f

Step-by-step explanation:

rational numbers are numbers that can be written in the form of a fraction

Convert the following fraction to a decimal.
A. 0.79
B. 0.70
C. 0.7
D. 0.07

Answers

Answer:

what is the fraction?

Step-by-step explanation:

Miesha has 3 red pens and 2 black pens in her pencil case. If she selects two pens without looking what is the probability that:

The first one will be black

The first will be black and the second will be black

Answers

Answer:

the first one ill be black i think

Step-by-step explanation:

she has more red so the first will probably be black and the other will be red your welcome  and have a nice day/night

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