Find the center and radius of the circle represented by the equation below.

Find The Center And Radius Of The Circle Represented By The Equation Below.

Answers

Answer 1

Answer:

Centre (5,-9) and radius is 14

Step-by-step explanation:

The circle equation is of form,

[tex] = > {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} [/tex]

where centre is (a,b) and radius is 'r'.


Related Questions

please help me with this​

Answers

Answer:

In the explanation

Step-by-step explanation:

AB = line segment

ABC = angle

AB = line segment

CD = intersecting line

AC = line segment

AB = line segment

EBC = angle

BC = line segment

Factor this trinomial

X^2 + 3x - 4

Answers

Answer:

(x - 1)(x + 4)

Step-by-step explanation:

What multiplies to (-4) but adds to (3)?

These two values are (4) and (-1). Therefore, these are the values that make up the factored trinomial.

x² + 3x - 4  ----->  (x - 1)(x + 4)

You can check your answer by expanding the factors. This is done by multiplying each term within the first parentheses by each term within the second parentheses.

(x - 1)(x + 4)  ----->  x² - 1x + 4x - 4  ----->  x² + 3x - 4

A fish is 18 feet below the surface of a lake. The fish swims up 12 feet before diving 45 feet. What equation can be used to find the current depth of the fish in feet?

Answers


18-12 is 6 then add 45 to it, it’s obviously 51 foot this is 3rd grade math

Which biconditional statement is NOT true?

Answers

The biconditional statement that is not true from the given option is "a triangle is equilateral if and only if it has three sides.

What is a Biconditional Statement?

A biconditional statement is one of the logical statements that contain the words "if and only if."

A biconditional statement is true for p ⇔ q provided that both p and q have an exact truth value, and it is false if otherwise.

The biconditional statement that is not true from the given option is "a triangle is equilateral if and only if it has three sides.  For a triangle to be equilateral, it is supposed to have three equal angles and three equal sides.

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Answer:

A quadrilateral is rectangle if and only if it has at least two right angles

Step-by-step explanation:

IMAGINE mATH!

a triangle ABC like the one below suppose that a=40, B = 62 and c= 23 (the figure is not drawn to scale) solve the triangle carry your intermediate computations to at least four decimal places , and round your answers to the nearest tenth . if there is more than one solution , use the button labeled "or"

Answers

Answer:

Answer:

A =24.7° ; B = 40.6° ; C =114.7°

Step-by-step explanation:

Cosine Law

a² = b²+c²-2bc cos A

b² = c²+a² -2ca cos B

Sum of three angles of a triangle is 180°.

a = 34 ; b= 53; c = 74

Substituting the given values in the cosine law, we have

34² = 53² + 74² - 2*53 *74 * cos A

7844 cos A = 2809 + 5476 - 1156 = 7129

cos A = 7129/7844 = 0.9088

A = cos⁻¹ (0.9088) = 24.6600° = 24.7°

53² = 74² + 34² - 2 (74)(34) cos B

5032 cos B = 5476 + 1156 - 2809 = 3823

cos B = 3823/5032 = 0.7597

B = cos⁻¹ (0.7597) = 40.5622° = 40.6°

Also, A + B + C = 180°

24.7 + 40.6 + C =180

C =180 -  65.3 = 114.7°

∴ A =24.7° ; B = 40.6° ; C =114.7°

Step-by-step explanation:

Im not sure if it is right. But hope it helps

A 13-foot ladder is leaning against a building, forming a right triangle.
The height where the ladder touches the building is seven feet more
than the distance from the base of the ladder to the building. At what
height does the ladder touch the building?

Answers

The height from the ground at which the ladder touched the building is 12feet.

What is a right-angled triangle?

A right-angled triangle is a type of triangle that has three sides and one of its  three angles as 90°.

Analysis:

The ladder length, height of the ladder from the ground, and the distance of the foot of the ladder from the foot of the building form a right angle triangle.

let x, be the distance from the foot of the building to the foot of the ladder.

x+7 = height of ladder from building to foot of  building.

length of ladder = 13 feet

using Pythagoras, we have

[tex](13)^{2}[/tex] = [tex]x^{2}[/tex] + [tex](x+7)^{2}[/tex]

169 = [tex]x^{2}[/tex] + [tex]x^{2}[/tex] + 7x + 7x + 49

169 = 2[tex]x^{2}[/tex] + 14x + 49

2[tex]x^{2}[/tex] + 14x = 169-49

2[tex]x^{2}[/tex] + 14x  = 120

divide through by 2

[tex]x^{2}[/tex] + 7x - 60 = 0

[tex]x^{2}[/tex] +12x -5x - 60 = 0

(x+12) -5(x+12) = 0

(x+12)(x-5) = 0

x = -12 or 5

Since measurement cannot be negative, therefore x = 5

Height the ladder touches the building is x+7 = 5+7 = 12 feet

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An equilateral triangle has all sides the same length and all angles the same measure.

Which is the measure of one angle of an equilateral triangle?

30°
45°
60°
90°

Answers

hey there!

Let measure of each angle be x

In triangle , we know that sum of angles is 180°

In equilateral triangle , all angles are equal

So our angles are x , x , x

=> x + x + x = 180°
=>3x= 180°
=> x = 180/3
=> x = 60°

Option 3 is correct

Hope this explanation helps you :)
Have a good day :)

A convoy must carry 44 tons of goods. Because there are 3 trucks that are assigned to other jobs, each of the remaining trucks has to carry an additional 1.5 tons. How many cars did the group have at the beginning? (Know that each truck carries the same number of goods).

please help me!!

Answers

This is fairly significant, and startling, when you consider where that money is going. The fundraising initiative was started by Tamara Lich, who has a history of association with radical groups, including the recently formed federal separatist Maverick Party in Alberta. Yes, by this weekend, there is likely to be about $1 million in the hands of someone affiliated with a party that wants to break up Canada

Graph on the same axes: y =x^2-4 and y=4-x^2. Write an equation for the part of the graph which is above of the x-axis.

Answers

The upper part of the x-axis is a quadratic function and the equation of the upper part is: y = 4 - x^2; -2 < x < 2

How to determine the equation of the graph?

The equations are given as:

y = x^2 - 4

y = 4 - x^2

When these equations are plotted, the upper part of the x-axis is a quadratic function that has the following properties:

Zeros = -2 and 2

Because the upper x-axis is open upwards, the equation of the graph is:

y = -(x - zeros)

So, we have:

y - (x - 2)(x + 2)

Evaluate

y = 4 - x^2

Hence, the equation of the upper part is:

y = 4 - x^2; -2 < x < 2

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Graph and label each figure and it’s image under the given translation. Give the coordinates of the image.

Answers

Answer:

See below ~

Step-by-step explanation:

Question 3 : (x, y - 5)

K' = (-3, 2 - 5) = (-3, -3)L' = (1, 4 - 5) = (1, -1)M' = (-1, 0 - 5) = (-1, -5)N' = (-5, -2 - 5) = (-5, -7)

Question 4 : (x + 4, y + 1)

D' = (-4 + 4, 3 + 1) = (0, 4)E' = (0 + 4, 2 + 1) = (4, 3)F' = (-2 + 4, -6 + 1) = (2, -5)G' = (-6 + 4, -5 + 1) = (-2, -4)

Please, try to answer quickly Due in 1 hr!

Take your values from the previous chart (in question 2) and convert them from Celsius to Fahrenheit follow the example below and use the conversion rule to fill out the chart for degrees Fahrenheit when t = 12 and t = 24 (2 points: 1 point for each row)
The previous chart from question 2 is below. The chart I am trying to fill out is the bigger one That has the above question written on the picture.

All other times this question has been asked it has gone unanswered or with incorrect and incomplete answers please answer the question no matter how old it is because even if I have figured it out someone else can get help from this.

Answers

The values of the temperature in degree Celsius (12 and 24) converted to degree Fahrenheit are 53.6°F and 75.2°F respectively.

How to convert the value of temperature?

In this exercise, you're required to convert the value of temperature in degree Celsius to degree Fahrenheit. Thus, we would use the following mathematical expression to do the conversion:

F(t) = 9/5C(t) + 32

When t = 12, we have:

F(t) = (9/5 × 12) + 32

F(t) = 21.6 + 32

F(t) = 53.6°F.

When t = 24, we have:

F(t) = (9⁄5 × 24) + 32

F(t) = 43.2 + 32

F(t) = 75.2°F.

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write down all the prime numbers

Answers

Prime numbers 1-100 are- 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.

Answer:

The prime numbers from 1 to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

Step-by-step explanation:

also it goes on and on so i dont think you meant but i hope this helps if it dosnt m very sorry

The sum of two numbers is 23. The difference of the numbers is 7.4. What are the two numbers?​

Answers

x+y=23
X-y=7.4

X+y=23
y=23-X

X-y=7.4
(23-y)-y=7.4
23-2y=7.4
-2y=-15.6
Y=7.8

X+y=23
X+7.8=23
X=15.2

Therefore the two numbers are 7.8 & 15.2

Find the area of a circle with a diameter of 14 meters. Round your answer to the nearest hundredth of a square meter.

Answers

To find the area of the circle:

 ⇒ need to know the formula: [tex]\pi r^{2}[/tex]

r: radius or half of diameter's length ⇒ 7 meters

Let's calculate:

 [tex]Area = \pi (7)^2=49\pi =153.9380m^3[/tex]

The problem asks us to round to the nearest hundreth:

[tex]Area = 153.94m^3[/tex]

Answer: [tex]153.94m^3[/tex]

Hope that helps!

 

Which expression is equivalent to the one that is modeled?

Answers

Answer:

What are the equivalent expressions?

Two expressions are said to be equivalent if they have the same value regardless of the value of the variable(s) in them.

Step-by-step explanation:

Mario borrows $620 from his parents and agrees to pay them back the same amount each month without interest. After 6 months of payments, he still owes them $320. Write a linear function to model the remaining amount over time that Francisco has to repay. Identify the slope and the y-intercept in terms of the context.

Answers

A linear function that models the remaining amount he would have to repay is y =620 - 50x. The slope is -50 and the y-intercept is 620.

What is the linear function?

A linear function is a function in which there is only one variable that is raised to the power of one. Linear functions usually have the form: mx + b.

Where:

x = slope b = y -intercept

The first step is to determine the amount that would be repaid each month: (620 - 320) / 6 = $50

The linear function:  =620 - 50x.

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A fish is at 125 m below the sea level it rises 56m, then dives
48m and then rises 25m again. Find the fish’s position from the
sea level

Answers

Answer: 92m below sea level

Step-by-Step Explanation:

Fish is at => 125m below sea level
It rises => 56m

Therefore, Fish is now at:
= 125 - 56 = 69m below sea level

It dives => 48m

Therefore, Fish is now at:
= 69 + 48 = 117m below sea level

It rises => 25m

Therefore, Fish is now at:
= 117 - 25 = 92m below sea level

Help me please help me

Answers

the answer to that is -120

Step-by-step explanation:

-120+74=-46

Answer:

k = -120

Step-by-step explanation:

k + 74 = -46

Subtract 74 from both sides:

k + 74 = -46

    - 74  - 74

k = -120

Final answer: k = -120

Hope this helps!

how do u find the surface area of all the prisms?

Answers

By using the formula SA=2B+ph

Find uv.
v
u
640
10
w
write your answer as an integer or as a decimal rounded to the nearest tenth.
uv =

Answers

The value of uv to the nearest tenth or as an integer is 3.1 units

How to find side of a right triangle?

uv is the adjacent side of the right triangle.

uv can be found using trigonometric ratios as follows:

Therefore,

tan 63 = opposite / adjacent

Hence,

tan 63 = 6 / adjacent

cross multiply

uv tan 63 = 6

divide both sides by tan 63

uv = 6 / tan 63

uv = 6 / 1.96261050551

uv  = 3.05716906145

uv = 3.1 units

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[tex]\huge\color{yellow}\underline \colorbox{violet} {\color{red}{QUESTION}}[/tex]

need answer guys ​

Answers

Answer:

   26. c. 6 cm

   27. c. 70 cm³

Step-by-step explanation:

Question 26

Volume = Length × Width × Height360 = 10 × 6 × WidthWidth = 6 cmc. 6 cm

Question 27

Volume = Length × Width × HeightVolume = 7 × 5 × 2Volume = 70 cm³c. 70 cm³

Question 28 (not entirely visible)

Volume of rectangular prism: Length * Width * Height

Solve:

1)

Find Width

10 * W * 6 = 360

W = 360/60

W = 6 cm

2)

Volume

LWH

(2)(7)(5)

70 cm³

3)

Volume

LWH

(7)(3)(4)

84 m³

como resolver
(-2 )² x (-2 )³

aplica propiedades de la potenciación en este caso seria potencia de un producto

Answers

Answer:

-32

Step-by-step explanation:

-2^2 is 4

-2^3 is -8

So 4•-8

=-32

Hope this helps. Brainliest would be appreciated.

Need help asap
the garcia family has a monthly car loan payment of $400, and their average monthly credit card bill is $4,800. mr. garcia
is also paying $1,000 per month to support his elderly parents. compute the back-end ratio to the nearest percentage.
type the correct answer in the box. use numerals instead of words.

Answers

Answer:

70%

Step-by-step explanation:

Anyone know the value of x for these

Answers

Answer:

3) 12
4) 6

Explanation: To find X, you can use the OW OW trick. OW = Outside, Whole.

For 3, the setup would be:
8(18) = x^2
144 = x^2
12

For 4, the setup would be:
5(8)=4(4+x)
40=16 + 4x
16 = 16 + 4x
24 = 4x
24/4 = 6

Emilia has a pencil box that is 12 inches long, 5 inches wide, and 3 inches tall. Richard's pencil box is 8 inches long and 5 inches wide, but it is twice as tall as Emilia's pencil box. How many cubic inches larger is Richard's pencil box than Emilia's pencil box?​

Answers

Answer:

Twice as large, or 180 cubic inches more

Step-by-step explanation:

To find the volume/ cubic inches of Emilia's pencil box, multiply base x width x height.

12 · 5 · 3 = 180

Do the same with Richard's pencil box, but multiply the height by 2

12 · 5 · 3(2) = 360

Subtract 180 from 360 to get 180.

Richard's pencil box is 180 cubic inches larger than Emilia's

Hope this helps!

What is the sum? startfraction x over x 3 endfraction startfraction 3 over x 3 endfraction 2 over x 3 endfraction five-thirds startfraction x 5 over x 3 endfraction startfraction x 5 over 3 x 27 endfraction startfraction 6 x over x 3 endfraction

Answers

The value of the sum expression [tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex] is 1

How to determine the sum?

The expression is given as:

[tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex]

Take the LCM of terms of the expression

[tex]\frac{x}{x +3} + \frac{3}{x + 3} = \frac{x + 3}{x +3}[/tex]

Evaluate the quotient of x + 3 and x + 3

[tex]\frac{x}{x +3} + \frac{3}{x + 3} = 1[/tex]

Hence, the value of the sum expression [tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex] is 1

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Does anyone know how to do this please help

Answers

Step-by-step explanation:

the photo should explain

h(x) = x2 + 1 k(x) = x – 2

(h + k)(2) =
(h – k)(3) =
Evaluate 3h(2) + 2k(3) =
.

Answers

(h+k) = x^2 + x - 1

so (h+k)(2) assuming it is a function
= 4 + 2 - 1
= 5

(h+k)(3) = 9 + 3 - 1
= 11

3h(2) = 3*(4+1)
= 15

2k(3) = 2*(1) = 2

so 3h(2) + 2k(3) = 15 + 2


= 17

the factory makes light bulbs the probability that a bulb is defective is 1/15 if 300 light bulbs are tested about how many are expected to be defective

a 20

b 66

c 15

d 30

Answers

defective : working = 1/15 ( x20 ) 20/300
so the answer is 20 light bulbs
A) you can make a ratio of 1/15 = x/300

300x1 = 300

300/15 = 20

Some newer phones provide a screen time summary, which shows the amount of screen time for a user in a given week. A student would like to estimate the mean screen time for all phone users. She asks a random sample of 50 students at her school to share their screen time for the past 24 hours. The mean screen time for the chosen students is 2.73 hours. Which statement is an appropriate interpretation of the results?
A.)All students probably have screen times close to 2.73 hours.

B.)To obtain a better estimate of mean screen time, more students should be surveyed.

C.)Because of undercoverage, 2.73 likely underestimates the mean screen time of all phone users.

D.)2.73 hours is a suitable estimate for mean screen time of all phone users because a random sample was taken.

Answers

Answer:

c

Step-by-step explanation:

got it right on edge

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