find the center and radius of the circle with equation (x + 9)^2 + (y + 5)^2 = 64

Answers

Answer 1

Answer:

Step-by-step explanation:

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex] with the really important part being the x- and the y-. If our first set of parenthesis is

[tex](x+9)^2[/tex], by the definition of the standard form of a circle, it actually is

[tex](x-(-9))^2[/tex] which is obviously negative (that's the h of the center of the circle);

If our second set of parenthesis is

[tex](y+5)^2[/tex], by the definition of the standard form of a circle, it actually is

[tex](y-(-5))^2[/tex] which is obviously negative (that's the k of the center of the circle). The radius is the square root of the constant on the right, 64. The square root of 64 is 8, so

Center (-9, -5), radius 8


Related Questions

Um marceneiro deseja dividir duas tábuas de madeira de mesma largura uma com 240 cm e a outra com 280 cm de comprimento em partes iguais e com maior comprimento possível Nestas condições o comprimento de cada parte após a divisão será de ?

Answers

Responder:

Comprimento de cada parte = 40 cm

Explicação passo a passo:

Dados os comprimentos:

240 cm e 280 cm

Obtenha o maior fator comum de ambos os comprimentos, pois isso dará o comprimento máximo de cada um após ser dividido:

2 _240 _ 280

2 _ 120 _ 140

2 _ 60 _ 70

5 _ 30 _35

___ 6 __7

Portanto, o maior fator comum é:

(2 * 2 * 2 * 5) = 40

Isso servirá como o comprimento de cada parte após a divisão

What is the result of 36÷9? Use the number line to help find the answer.

Answers

Well 36 divided by 9 is 4 so it’s 4

Solve for y= 1/2x -1

Answers

Are u looking for the x or y? If it’s x, then it is x=2, but if it is y, then y=-1

help with this math question

Answers

The correct answer is A hope this helps

If APML - ATRO, find QR.
P
35
T
.
14
14
و - r
R

Answers

The value of QR in the triangle is 16 units

What is congruent triangle?

Recall that Congruence of triangles represents the similarity of triangles. Two triangles are congruent if their corresponding sides and angles are congruent

The question states that  ΔPML≅ΔTRQ

This implies that ML/QR = PM/TR

⇒(7x-9)/2x+2  = 35/14

Cross and multiplying we have

14(7x-9) = 35(2x+2)

=98x-126 = 70x +70

98x-70x = 70+126

⇒28x = 196

Making x the subject of the formula

x= 196/28 = 7

Recall that the side QR = 2x+2

Then by substitution,

2(7) +2

14+2 =16

This therefore keeps the side QR as 16 units.

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I’d appreciate it if someone could help

Answers

Answer:

8

Step-by-step explanation:

Multiply both sides by 16

x = (2*16)/4

x = 32/4

x = 8

Answer:

::::::

x=8

Step-by-step explanation:

i think (i think)

28 minutes to 1 hour simplest form

Answers

Have a great day ps I know this was a mistake..

Answer:

7min:15min

Step-by-step explanation:

28min:1 hour

28min:60 minutes

14min:30min

7min:15min

Each person in a group buys a movie ticket, a drink, and a popcorn. How much does the group pay when there are 5 people in the group

Answers

Depends on how much each item costs.

The mean monthly rent of students at Oxnard University is $780 with a standard deviation of $208.

(a) John’s rent is $1,235. What is his standardized z-score? (Round your answer to 3 decimal places.)

z 2.1875 Numeric ResponseEdit Unavailable. 2.1875 correct.

(b) Is John’s rent an outlier?

multiple choice
Yes
No Correct


(c) How high would the rent have to be to qualify as an outlier?

John’s rent would have to be $ 1237 Numeric ResponseEdit Unavailable. 1237 incorrect.or higher to be considered an outlier.

Answers

Answer:

a) 2.188

b) John's rent is not an outlier

c) His rent has to be higher than $1,235 to be an outlier

Step-by-step explanation:

The mean monthly rent of students at Oxnard University is $780 with a standard deviation of $208.

(a) John’s rent is $1,235. What is his standardized z-score?

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = $1235

μ is the population mean = $780

σ is the population standard deviation = $208

Hence,

z = 1235 - 780/208

z = 2.1875

Approximately to 3 decimal place = 2.188

(b) Is John’s rent an outlier?

No it isn't

(c) How high would the rent have to be to qualify as an outlier?

John’s rent would have to be higher than $1235

what if you have a grade of 80% and you fail a homework of 50 points​

Answers

Answer:

I don't know but you might end up with a C

Step-by-step explanation:

OR A D

Given the conversion factor

Answers

Answer:

Solid A

Step-by-step explanation:

The formula to find the surface area of a cube = 6a²

Where a = side length

Solid A = 17ft

For solid A, surface area = 6 × (17 ft)²

= 1734 ft²

For Solid B

the conversion factor 3.28ft/ 1 m

Solid B = 5m

Hence, converting 5m to ft

1m = 3.28 ft

5m =

Cross Mulitiply

= 5m × 3.28ft

= 16.4 ft

Hence, the surface area of solid B =

6 × (16.4 ft)²

= 1613.76 ft²

The cube that has the larger surface area is Solid A

33%
The diagram shows a square ABDE and an isosceles triangle BCD.
Angle C = 40°
Work out the size of angle EBC.
А
B
40°
E

Answers

Answer:

ans = <ebc= 115°

hope this will help

.

.

PLEASE ASAP ILL GIVE BRAINLIEST.

Answers

Answer:

It would be the fourth one

Step-by-step explanation:

f^2×f^3
A f^5
B f^6
C (2f)^5
D(2f)^6​

Answers

Answer:

A) f^5

Step-by-step explanation:

A milk-dairy produces 25,545 litres of milk every day. It supplies 15,625 litres of milk to a milk-depot and rest to the market. How much milk is supplied to the market ?

Answers

Answer:

plz mark brainliest

Answer:12345678910

Step-by-step explanation:

Help!!!
Consider the following equation.
2^(x)+3=3^(-x)
If the equation is solved using successive approximation, match the value of x to the following iterations.

Answers

9514 1404 393

Answer:

  no iterations shown; the root is approximately -1.12911

Step-by-step explanation:

If your method of successive approximation is the Bisection Method, and if your initial interval is [-2, -1], then successive values of x used for reducing the interval are ...

  -1.5, -1.25, -1.125, -1.1875, -1.15625

__

If your method of successive approximation is Newton's method, and if your initial guess is -1.5, then successive values of x will be ...

  -1.1905079, -1.1309053, -1.1291151, -1.1291135

Another iteration confirms this last value is accurate to 8 significant figures.

Answer:

-5/4

-9/8

-19/16

Step-by-step explanation:

This is the answer given

Which inequality is true when the value of u is 10?
u – 3<-6 , u-3>-6 , -u-3>6 , -u-3>-6

Answers

Answer:

The answer is: u-3>-6

This is because 10-3=7 and 7>-6

Volume of cone round to the nearest 10th

Answers

Answer: 63

Maybe?

If it’s wrong sorry :)

Can I please get help with this question on future value of annuities? I also am really confused on how to do the table of values.

Answers

Answer:

D

Step-by-step explanation:

I've attached one of those tables below

I'm going to solve this using the FV annuity formula

[tex]R(\frac{(1+i)^n-1}{i})[/tex]

where i is the effective rate of interest

r is the payment

n is the number of periods

to find the effective rate of interest we need to divide .08/2 (because the interest is compounding once every six months)

and the number of periods is 4*2 (because there are two periods a year(

[tex]1500(\frac{(1+.04)^8-1}{.04})=13821.33[/tex] which is equal to D

To use the table go to the effective rate of interest (4%) and then number of periods (8)

The number is 9.2142

mulitply that by the payment (1500) and get 13821.3 (D)

*the reason that the answers are slightly different is because the annuity table rounded whereas in the formula it was more exact*

9514 1404 393

Answer:

  D.  $13,821.30

Step-by-step explanation:

The table is given in terms of interest rate per period and number of periods. The table assumes that money is invested at the same interval that interest compounding occurs.

Since you're investing $1500 every 6 months for 4 years, the 8% annual interest rate becomes 8%·(6/12) = 4% interest each 6-month period. In 4 years, there are 8 periods of 6 months. So, you look for the multiplier shown in the table that is at the intersection of 4% interest and 8 periods.

That multiplier is 9.2142, so the future value is ...

  FV = amount invested per period × multiplier from table

  = $1500 × 9.2142 = $13,821.30

__

The above is how you use the table.

You can also choose the correct answer based only on your number sense, without bothering with the table.

You are paying into the annuity 8 payments of $1500 each. That is a total input of 8 × $1500 = $12,000. You will be earning interest on that money, so the future value of the annuity is more than $12,000. Only one answer choice fits that description:

  D.  $13,821.30

For the given measure
, find the measure of the supplementary angle and the measure of a complementary angle, if possible. If not possible, type the word none in lowercase letters in the box.

82 degrees

Answers

Answer:

The supplementary angle is

153°.

The complementary angle is

63°.

Step-by-step explanation:

This is very right trust mne

Mark me brainlist

The measure of the supplementary angle and the measure of a complementary angle as follows; The supplementary angle is 153°. The complementary angle is 63°.

What are complementary angles?

Two angles whose sum is 90° are called complementary angles.

Two angles whose sum is 180° are called supplementary angles.

If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.

Those two-two angles are two pairs of supplementary angles.

That means, if supplementary angles are aligned adjacent to each other,

their exterior sides will make a straight line.

Therefore, The supplementary angle is 153°.

The complementary angle is 63°.

Learn more about complementary angles here:

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Please help me with this question…. I mnot getting it…..best answer with step by step explanation will get brainliest answer.

Answers

Answer:

[tex]49^{\frac{7}{2} }*81^{\frac{-1}{4} }*49^{\frac{5}{2}} \div343^{ \frac{-1}{3}}\\\\(7^2)^{\frac{7}{2} }*(3^4)^{\frac{-1}{4} }*(7^2)^{\frac{5}{2}} \div(7^3)^{ \frac{-1}{3}}\\\\7^7*3^{-1}*7^5 \div 7^{-1}\\\\7^{12} * 3^{-1} *7^1\\\\7^{13}*3^{-1}[/tex]

10. Find the total surface area of the triangular prism
shown below.

Answers

Answer:

I think its 132.

The total surface area of the triangular prism is 200 cm².

Triangular prism surface area

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)

How to find the surface area of the triangular prism?

First, find the height of the prism.

Let h is the height of the prism

Use the pythagoras theorem

then

5² = (6/2)² + h²

5² = 3² + h²

25 = 9 + h²

h² = 25 - 9

h² = 16

h =4

Now apply the surface area formula

total surface area = ( 5 + 5 + 6) 11 + 6×4

                             = 16 × 11 + 24

                             = 176 +24

                             = 200 cm²

Hence the surface area is 200 cm²

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Write the equation of a line that is parallel to x
= 8 and that passes through the point (-3,-2).

Answers

Answer:

x=-3

Step-by-step explanation:

Hi there!

1) Determine the slope

Parallel lines always have the same slope. However, the given line x=8 is a vertical line organized in the form x=d, where d is the x-intercept. Therefore, the slope is undefined, and our line will also have an undefined slope.

Now, because this line will also be a vertical line, it will also be organized like:

x=d

2) Determine the x-intercept (d)

Note that all the points a vertical line passes through will have the same x-coordinate. We're given that this line passes through the point (-3,-2), so therefore, the x-intercept will be (-3,0).

Plug this into x=d:

x=-3

I hope this helps!

If c = 4 what is the value of the following expression:
50 - 40 + C*

Answers

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

50 - 40 + c

50 - 40 + 4

10 + 4

14

PLS ANSWER!! +GIVING BRAINLIEST FOR 1ST CORRECT ANSWER

Answers

Answer:

18

Step-by-step explanation:

mark me as

brainliest

18

Answer:

144 ounces

Step-by-step explanation:

In UVW, the measure of W=90°, WU = 32 feet, and UV = 51 feet. Find the
measure of V to the nearest tenth of a degree.

Answers

Answer:

38.9

Step-by-step explanation:

Sin x = opposite/hypotnuse

Sin-1 = 32/51

=38.86

=38.9

What’s the answer to all 4

Answers

Answer:

wdym

Step-by-step explanation:

i dont get it

Step-by-step explanation:

1 reflection 2.rotation 3 reflection 4 rotation

Given the definitions of f(x) and g(x) below, find the value of (g x f)(-3)

Answers

Answer:

(goF)(-3)=21

Step-by-step explanation:

(g(f(-3)))g(2×-3²+6×(-3)+9)g(18-18+9)g(9)3×9-627-621

stay safe healthy and happy .
Bro I honestly don’t remember how to answer this

Amy has a box that is 6 1/2 feet long, 3.25 feet wide, and 2 feet high. What is the volume of the box? V=lwh

Answers

Answer:

42.25 feet ³

Step-by-step explanation:

Volume of the box = length × width × height

Length = 6 1/2 feet = 6.5 feet

Width = 3.25 feet

Height = 2 feet

Volume of the box = length × width × height

= 6.5 feet × 3.25 feet × 2 feet

= 42.25 feet ³

Volume of the box = 42.25 cubic foot

The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

x = √30

Step-by-step explanation:

For an equilateral triangle, the measure of the angle at each vertex is 60 degrees

Thus, the angle 60 faces the side measure x

Also, the given length is adjacent to the angle 60 measure

Mathematically, the trigonometric ratio that links the adjacent and the opposite is the tan

The tan is the ratio of the opposite to the adjacent

Thus;

Tan 60 = x/ root 10

x = root 10 * tan 60

x √(10 * √(3

x = √30

The length of [tex]x[/tex] is required.

The length of [tex]x[/tex] is [tex]\sqrt{30}\ \text{units}[/tex]

In an equilateral triangle the altitude divides the side into halves.

So, the hypotenuse will be [tex]\sqrt{10}+\sqrt{10}=2\sqrt{10}[/tex]

From the Pythagoras theorem we have

[tex]x^2+(\sqrt{10})^2=(2\sqrt{10})^2\\\Rightarrow x=\sqrt{(2\sqrt{10})^2-(\sqrt{10})^2}\\\Rightarrow x=\sqrt{30}[/tex]

The length of [tex]x[/tex] is [tex]\sqrt{30}\ \text{units}[/tex]

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