A circle is represented by the equation below:

(x − 9)2 + (y + 8)2 = 16

Which statement is true?

a) The circle is centered at (−9, 8) and has a radius of 8.
b) The circle is centered at (9, −8) and has a diameter of 8.
c) The circle is centered at (9, −8) and has a radius of 8.
d) The circle is centered at (−9, 8) and has a diameter of 8.

Answers

Answer 1

Answer:

The center is (9,-8) and the diameter is 8

Step-by-step explanation:

(x − 9)^2 + (y + 8)^2 = 16

A circle is in the form

(x − h)^2 + (y -k)^2 = r^2  where (h,k) is the center and r is the radius

(x − 9)^2 + (y -  -8)^2 = 4^2  

The center is (9,-8) and the radius is 4

The diameter is 2 times the radius so the diameter is 8

The center is (9,-8) and the diameter is 8


Related Questions

PLEASE HELP !!
Given that p II q, fill in the reasons why each statement is true.

Answers

Answer:

1. Given

2. Def of Vertical Angles

3. Alternate Interior Angles

4. Def of Vertical angles

5. Opposite exterior angles

Step-by-step explanation:

Solve the system of equations:
y = 2x - 4
y = x2 - 4

Answers

Answer:

y=2x-4

Step-by-step explanation:

y=x2-4

ygjn bcgh ccfjm kbhh

PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

correct option is A

Step-by-step explanation:

mark me

A. is your correct answer!!!!
Hope this helps!!!!!!

The width of a rectangle measures (2h-6) centimeters, and its length measures (7h+8) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answers

Answer:

18h +4

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w)  where l is the length and w is the width

  =2( 7h+8 + 2h-6)

Combine like terms

  = 2( 9h+2)

Distribute

   = 18h +4

Camilla can do 33 push ups in 3 minutes. How many push ups can she do in 1 hours if she never gets tired?

pls answer soon

Answers

Answer:

660

33 / 3 = 11 per minute

60 minutes in an hour = 11 * 60 = 660

Step-by-step explanation:

The Oxy coordinate plane for two parallel lines a and a' has the equations 2x - 3y-1 = 0 and 2x - 3y + 5 = 0. respectively. Which vector translation to convert a to a'

Answers

Answer:

Remember that a vector translation can be written as:

T(a, b)

And if we apply this to a random point, (x, y), the translation gives:

T(a, b)(x, y) = (x + a, y + b)

now, remember that a general line can be written as:

y = m*x + s

Then a point of that line can be written as: (x, m*x + s)

Then if we apply the translation to a point in the line, we get:

T(a, b)(x, m*x + s) = (x + a, m*x + s + b)

Here we have two lines:

2x - 3y - 1 = 0

2x - 3y + 5 = 0

First, let's rewrite both of these in the slope-intercept form:

y = (2/3)*x - 1/3

y = (2/3)*x + 5/3

Now let's assume that we apply a translation to the first line, that has points of the form (x,  (2/3)*x - 1/3), such that we want to get points of the form:

(x, (2/3)*x + 5/3).

Then we must have:

T(a, b)(x,  (2/3)*x - 1/3) = (x + a,  (2/3)*x - 1/3 + b) = (x, (2/3)*x + 5/3).

Then we need to solve:

(x + a,  (2/3)*x - 1/3 + b) = (x, (2/3)*x + 5/3).

This means that:

x + a = x

(2/3)*x - 1/3 + b = (2/3)*x + 5/3

From the first equation, we can see that a = 0

Now we can solve the second one to find the value of b.

(2/3)*x - 1/3 + b = (2/3)*x + 5/3

subtracting (2/3)*x in both sides, we get:

-1/3 + b = 5/3

b = 5/3 + 1/3

b = 6/3 = 2

b = 2

Then the vector translation is:

T(0, 2)

So it moves the whole line 2 units upwards.

If a bridge will hold only 4500 kilograms and an empty truck weighs 26500 hectograms, whats the heaviest load the truck can safely carry across the bridge? Give the answer in kilograms.

Answers

1850 kilograms

26500x0.1 (conversion rate from hg to kg) = 2.650 kg

4500-2650 = 1850

What is the radius and diameter of the following circle? 5.1 cm

Answers

Answer:

A circle of radius = 0.8117 or diameter = 1.623 or circumference = 5.1 cm has an area of: 2.07 × 10 -10 square kilometers (km²) 0.000207 square meters (m²) 2.07 square centimeters (cm²)Step-by-step explanation:

Find the input (x) of the function y=5x-3 if the output (y) is 32

Answers

Answer:

x = 7

Step-by-step explanation:

Given

y = 5x - 3 ← equate 5x - 3 to 32

5x - 3 = 32 ( add 3 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7 ← input

Answer:

x=7

Step-by-step explanation:

y=5x-3

y = 32

32 = 5x- 3

Add 3 to each side

32+3 = 5x-3+3

35 = 5x

Divide by 5

35/5 = 5x/5

7 =x

which choice is equivalent to the expression √20 + √80

Answers

Answer:

13.41

Step-by-step explanation:

Hope it helps!

Answer:

6[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{20}[/tex]

= [tex]\sqrt{4(5)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]

[tex]\sqrt{80}[/tex]

= [tex]\sqrt{16(5)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{5}[/tex] = 4[tex]\sqrt{5}[/tex]

Then

[tex]\sqrt{20}[/tex] + [tex]\sqrt{80}[/tex]

= 2[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex]

= 6[tex]\sqrt{5}[/tex]

What is the product of the fractions below?

Answers

The answer to this question is c because you add the numerator and you times the denominator!

Answer:

B

Step-by-step explanation:

6/11 * 7/3 = 6*7/11*3 = 42/33

We can simplify this by dividing both by 3.

42/3 = 14

33/3 = 11

So we get 14/11

Can u help solve this

Answers

Answer:

 - 5/3

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( -1 -9)/(4 - -2)

   = (-1-9)/(4+2)

  = -10/6

  - 5/3

Answer:

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{ - 1 - 9}{4 - - 2} \\ \frac{ - 10}{6} \\ = - \frac{5}{3} \\ thank \: you[/tex]

How could Brent use a rectangle to model the factors of \large x^2-7x+6?

He could draw a diagram of a rectangle with dimensions x – 4 and x + 3 and then show the area is equivalent to the sum of x2, –4x, 3x, and half of –12.

He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.

He could draw a diagram of a rectangle with dimensions x + 7 and x – 1 and then show the area is equivalent to the sum of x2, 7x, –x, and 6.

He could draw a diagram of a rectangle with dimensions x – 3 and x – 4 and then show the area is equivalent to the sum of x2, –3x, –4x, and half of 12.

Answers

Answer:He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.

Step-by-step explanation:

He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.

He could draw a diagram of a rectangle with dimensions x + 7 and x – 1 and then show the area is equivalent to the sum of x2, 7x, –x, and 6.

He could draw a diagram of a rectangle with dimensions x – 3 and x – 4 and then show the area is equivalent to the sum of x2, –3x, –4x, and half of 12.

Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form
(2 • 6) 3/2

Answers

Answer:

24√3

Step-by-step explanation:

(2 • 6)^(3/2) =

= 12^(3/2)

= √(12³)

= √1728

= √(2^6 • 3² • 3)

= 2³ • 3 • √3

= 24√3

1) With the help of given figure.

a) Write the names of minor and major arcs.

b) If mzAOQ = 70° then find m(arcAYQ) and

m(arcAXQ).​

Answers

[tex]\\ \Large\sf Minor\:Arc\longmapsto AOQ[/tex]

[tex]\\ \Large\sf Major\:arc\longmapsto AXQ[/tex]

Now

[tex]\\ \Large\sf\longmapsto m<AOQ=70°[/tex]

[tex]\\ \Large\sf\longmapsto m<AXQ=2m<AOQ[/tex]

[tex]\\ \Large\sf\longmapsto m<AXQ=2\times 70[/tex]

[tex]\\ \Large\sf\longmapsto m<AXQ=140°[/tex]

A private and a public university are located in the same city. For the private university, 1046 alumni were surveyed and 643 said that they attended at least one class reunion. For the public university, 804 out of 1315 sampled alumni claimed they have attended at least one class reunion. Is the difference in the sample proportions statistically significant

Answers

Answer:

To find if the difference is statistically significant, we'll find the p-value and compare it to the significance level. If it's smaller, then it's significant.

Because the problem didn't state a specific significance level, I'm going to use the most common one p = 0.05.

On a graphing calculator, I conducted a 2-Proportion Z-test. It resulted in zTest_2Prop 643,1046,804,1315,0: stat.results and the p-value is shown as around 0.869485.

Set p₁ ≠ p₂ as we're trying to show that the two proportions are far in value, not whether one is greater/lesser than another.

Since 0.869 > 0.05, the difference in the sample proportions is not statistically significant.

Given that
∠4

4
has a measurement of 103°, what is the measurement of
∠2

Answers

Answer:

103 = <2

Step-by-step explanation:

Angle 4 and angle 2 are vertical angles and vertical angles are equal

<4 = <2

103 = <2

Answer:

103

Step-by-step explanation:

Angle 4 and Angle 2 are congruent so they have the same value.

What is the greatest common factor of 24s3, 12s4, and 18s?

Answers

Answer:

24s3

Step-by-step explanation:

24s3 is the greatest common factor of 24 S3 12 s4 and 18s.

the greatest common factor (gcf) of 24, 12, and 18 is 6. the gcf of s3, s4, and s is s. therefore, the gcf of 24s3, 12s4, and 18s is 6s. :)

It is known that the length of time that people wait for a city bus to arrive is right skewed with mean 6 minutes and standard deviation 4 minutes. A sample of 25 wait times is randomly selected. What is the standard deviation of the sampling distribution of the sample wait times

Answers

Answer:

The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30. Otherwise, the mean and the standard deviations holds, but the distribution will not be approximately normal.

Standard deviation 4 minutes.

This means that [tex]\sigma = 4[/tex]

A sample of 25 wait times is randomly selected.

This means that [tex]n = 25[/tex]

What is the standard deviation of the sampling distribution of the sample wait times?

[tex]s = \frac{4}{\sqrt{25}} = 0.8[/tex]

The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.

use the ratio of a 30-60-90 triangle to solve for the variables.​

Answers

Answer:

X = 32, y = 16

Step-by-step explanation:

Cos 30 = (16√3) ÷ x

x = (16√3) ÷ cos 30

x = 32

Sin 30 = y ÷ 32

y = 32 sin 30

y = 16

Quesdon 8 of 10
Which of the following is a polynomial?

Answers

Answer:

B

Step-by-step explanation:

It has two or more terms.

Which point represents the center of the circle shown below?
X
T

Answers

Is it point k I hope this help

Simplify the expressions by combining like terms.
30) 4x + 3-x =

Answers

Step-by-step explanation:

the answer is -1. I have a picture, take a lot at it

Answer: 3x+3

Step-by-step explanation:

4x+3-x

= (4x-x) + 3

= 3x+3

Select the correct answer from each drop-down menu.
A student begins a proof of the law of cosines. His work is shown.

(png/image displayed in download)

The next step in the proof is to write an expression for the length of side AZ in terms of ____
Then the student should write an expression for the length of side AY in terms of____
Next he can use the ____
to relate x, y, z, and ____
(____) = blank, not known

1. blank choices
y,z and x
y,z and y
x,z and z

2. blank choices
z and Y
x and Z
z and X

3. blank choices
Pythagorean Theorem
Law of sines
tangent function

4. blank choices
X
Z
Y

Thanks for your time, have a nice day!

Answers

Answer:

1. y, z, and X

2. x and Z

3. Pythagorean theorem

4. X

Step-by-step explanation:

hope this helps

Set up an equation to find the length of the diagonal of the rectangle.

Answers

Answer:

Set length as l

Use the Pythagorean Theorem to find the diagonal:

[tex]5^{2} +l^{2} =(\sqrt{125})^{2}\\ 5^{2} +l^{2} =125[/tex]

What is the volume of the regular pyramid?
576m
96 m
480 m
240 m

Answers

Answer:

volume is 576

Step-by-step explanation:

all you do to find volume is multiply LxWxH which will give you volume so just take 18m x 4m x 8m = 576m hopefully its a simply and direct explanation make me brainlist please !!!

The volume of a pyramid is 720 m³.

What is a pyramid?

A pyramid is a structure where outer surfaces are triangular and converge to a point at the top.

The volume of a pyramid with a square base is given as:

Volume = 1/3 x base area x height

We have,

Base area:

A = (1/2) x apothem x perimeter

where the perimeter is the total length of all five sides of the pentagon.

So,

= 1/2 x 4 x (5 x 8)

= 2 x 40

= 80 m²

Height.

= 18 m

Now,

The volume of a pyramid.

= 1/2 x 80 x 18

= 80 x 9

= 720 m³

Thus,

The volume of a pyramid is 720 m³.

Learn more about pyramid here:

https://brainly.com/question/17615619

#SPJ2



The midpoint of AB is M(-6,1). If the coordinates of A are (-7, -3), what are
the coordinates of B?

Answers

Answer:

B = (1, -4)

Step-by-step explanation:

the midpoint formula is ((x1 + x2) / 2 , ( y1 + y2) / 2)

M = (-6,1) and A = (-7,-3)

if we make A (x1, y1), we can plug in and solve for B (x2, y2)

-7 + x2 = -6

x2 = 1

1 + y2 = -3

y2 = -4

B = (1, -4)

pls pls pls help me answer this quickly

Answers

Answer:

768

Step-by-step explanation:

(8×8×10)+(8×8×6/3)

= 640+128

= 768

Answered by GAUTHMATH

A dealer marks a T-shirt with a price 20 PERCENT more than the cost price. It he sells it at a discount of I5 PERCENT.. What will be his gain Or loss percent ? (Take cost price as Rs 100)​

Answers

Answer:

Rs 2,or 2%profit

Step-by-step explanation:

the price he marked:

[tex]100 \times \frac{120}{100} = 120[/tex]

(20 percent more than cost price)

The discount he put: 15 percent

[tex]120 \times \frac{85}{100} [/tex]

Rs102

102 is 2 more than 100

and is 2%profit.

Brainliest please

simple geometry problem i cant understand

Answers

Answer:

23.5

Step-by-step explanation:

m∠Y = (m∠RTS - m∠VTX)/2

m∠Y = ((180 - m∠RTV) - (180 - m∠VTX))/2

m∠Y = ((180 - 95) - (180 - 142))/2

m∠Y = (85 - 38)/2

m∠Y = 47/2

m∠Y = 23.5

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