Graph the following:
(x - 1)2 + (y - 3)2 = 4
Center
Radius

Answers

Answer 1

Answer:

Center  = (1,2)  radius = 2

Step-by-step explanation:

I used Demos to graph the circle.

Then I added two line to find the center of the circle

The radius is 2


Related Questions

Anyone help ?? Sorry please

Answers

Answer:

All the points in the scatter plot are written as (x, y)

Where x is the value in the horizontal axis (in this case the weight)

and y is the value in the vertical axis (in this case, the number of seeds)

We want to know the weight of 100 seeds.

We know that the number of seeds is represented in the vertical axis.

Then, first let's look at the vertical axis and find the value 100.

Now let's move horizontally the right until we meet the point.

Once we meet the point, let's move vertically to the horizontal axis, and see in which value we intersect the axis.

If we do that, we can see that we will intersect the x-axis at the value x = 5.

And this axis represents the weight in kg, then the weight of 100 seeds is 5kg.

Shawna is a member of the swim team. She can swim 3 laps in 3 minutes
and 21 seconds. If Shawna swims at the same pace, how long would it take
her to swim 8 laps?

Answers

Answer:

8 minutes and 53 seconds

Answer:

8 minutes and  56 seconds

Step-by-step explanation:

3 laps ⇒ 3 minutes and 21 seconds        given1 lap ⇒ 1 minute and 7 laps                       divide by 3 8 laps ⇒ 8 minutes and  56 seconds       multiply by 8              

Find the measure of angle B

Answers

the answer is 46° !!

Jayla, Keisha and Melanie are sisters. Keisha is 3 years older than Jayla. Melanie is 3 years older than Keisha. If you add their ages together, you get 42.
1. Write an equation or draw a picture to represent this scenario.
2. How old are the sisters? How do you know?

Answers

jayla= x
keisha= x+ 3
melanie= x + 6

to solve:
42= x + x + 3 + x + 6
42= 3x + 9
-9 -9
33=3x
———-
3

x=11

therefore
jayla is 11
keisha is 14
melanie is 17

I need help with letter B, find the area

Answers

Answer:

58

Step-by-step explanation:

6*8+2*2+3*2=58


An employee compiled sales data for a company once each
month. The scatter plot below shows the sales (in multiples of
$1000) for the company over time (in months). The equation
represents the linear model for this data.
50
45
40
Sales ($1000)
35
30
y = 0.94x + 12.5
25+
20+
++
15
10
According to the model, what will the company's sales be after
40 months?
5
o

Answers

Answer:

well if you think about it the answer you see is in the points

Step-by-step explanation:

and the data comes from the scatterplot so try to see it and remember to chose b or c ok  

please help 100 points to whoever gets it right

Answers

Answer:

i think its D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

In order to determine the average price of hotel rooms in Atlanta, a sample of 63 hotels were selected. It was determined that the test statistic (z) was $-1.53. We would like to test whether or not the average room price is significantly different from $110. Population standard deviation is known to us. Compute the p-value.

Answers

Answer:

Pvalue = 0.063008

Step-by-step explanation:

Given :

Sample size, n = 63

The test statistic = - 1.53

To test if average room price is significantly different from $110 ; μ = $110

H0 : μ = 110

H1 : μ < 110

From the test statistic value obtained, we could see that the test is left tailed

The Pvalue :

P(Z < - 1.53) = 0.063008

If the claim is to be tested at 5% level of confidence then

Pvalue > 0.05 ; Hence, we fail to reject the. NULL. Hence, average price is not significantly different from $110

Find the volume of the square pyramid.

Answers

Answer:

243 ft³

Step-by-step explanation:

V = [tex]\frac{1}{3}[/tex]Bh

A = 9 x 9 = 81

81 x 9 = 729

729 / 3 = 243

When you see [tex]\frac{1}{3}[/tex] in a math formula, it means to divide by 3.

For example, when you are trying to find the volume of a pyramid or cone you will see [tex]\frac{1}{3}[/tex] in the formula.

Let me know if this helps!

Answer:

729 ft³

Step-by-step explanation:

I found this answer by something I learned. All you have to do is multiply the 3 numbers of the square pyramid.

9 x 9 x 9 = 729 ft³

The price of a bowl of plain pho is 6$. With 4 ingredients added, the total is 8$. Find the price of each ingredient

Answers

Answer:

0.5

Step-by-step explanation:

6+ 4x = 8

or, 4x = 8-6

or, 4x = 2

x = 0.5

The number of students at a particular school who have the flu is increasing at a rate of 12% per day. If at the beginning of monday there were 56 students with the flu, then which of the following is closest to the number of students who have the flu on friday morning?

Answers

Answer:

88

Step-by-step explanation:

MATH

The number of students who have the flu on Friday morning will be;

⇒ 83

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The number of students at a particular school who have the flu is increasing at a rate of 12% per day.

At the beginning of Monday there were 56 students with the flu,

Now,

Since, The number of students at a particular school who have the flu is increasing at a rate of 12% per day.

Hence, The percent of increasing rate on Friday morning = 4 x 12%

                                                                                         = 48%

Thus, The number of students who have the flu on Friday morning is,

⇒ 56 + 48% of 56

⇒ 56 + 48 × 56 / 100

⇒ 56 + 26.88

⇒ 82.88

Thus, The number of students who have the flu on Friday morning will be;

⇒ 83

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
• 5 cm and 8 cm 8
• 6 cm and 7 cm
0 7 cm and 2 cm
• 8 cm and 9 cm

Answers

sorry I tried to find out the correct answer but because of one mistake I can't remember

Find the area of the following shapes

Answers

Area of small rectange = 7 cm × 4 cm = 28 cm sq

Area of bigger rectangle = 4cm×10 cm = 40 cm sq

Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq

total area of polygon = ( 28 + 40 + 12 ) cm sq

area of polygon = 80 cm sq

I need help, please! ASAP.

Answers

Answer:

Formula for percent change is C = {x_2 - x_1}/{x_1}  

C = relative change

x_1 = initial value

x_2 = final value

Step-by-step explanation:

Answer:

<_> daddy

Step-by-step explanation:

plss help i’ll give brainliest thank you!

Answers

Answer:

d

Step-by-step explanation:

in c greatest common factor is 8

But in D

Factors of 12 = 1, 2, 3, 4, 6, 12

Factors of 20 = 1, 2, 4, 5, 10, 20

Look only 4 is GCF

The length of a track around a field is 1/4 miles. You run 3 1/2 times
around the track. How far did you run?

Answers

Answer: 7/8 of a mile

10,20,40,80... find the common ratio for the geometric sequence

Answers

Answer:

2

Step-by-step explanation:

So the common ratio is simply what a number can be multiplyied by. To find this, all we have to do is see how many times one number goes into the one after it.

So lets take the 20(2nd number), lets divide it by 10(1st number). What do we get when we divide the numbers? We get 2. since 10 goes into 20, 2 times.

Lets see if the common ratio 2 checks out for the other numbers. What is 80(4th number) divided by 40(3rd number)? Well again, thats 2. Since 40 goes into 80, 2 times.

So, we can conclude that the answer is 2.

Answer:

I think the common ratio is 20

Step-by-step explanation:

Each number is 20 times the previous number, so the Common Ratio would have to be 10

simplify
25x-16y-25x+16y​

Answers

Answer:

Step-by-step explanation:

25x-16y-25x+16y

-16y and 16y cancels out

25x-25x

25x and -25x cancels out too

This means the answer is 0

Everything cancels out
Because negatives and positives cancel out
So your final answer is 0

I answered the question 3x-y=5 but is there a different way to answer this?

My answer:

I switched the y with the 3x
3x=y+5

Then I subtracted by 5

y=3x-5

Answers

Step-by-step explanation:

Hi,

I agree with what you did. You could also add y on both sides and get 3x = y + 5 and then divided by three to get...

x = 5 + y /3

(the 5 and y are being divided by 3)

But that's just complicated, it works, but it's complicated. What you did is correct and what I gave you is the value of x, but I'm 100 percent sure yours is correct.

Hope this helps

Answer and Step-by-step explanation:

Yes (technically),  there is a different way to answer the equation 3x - y = 5. But, the first part of how you described it is a bit off.

Here is how you would explain it:

What you would do is Add y to both sides, then subtract 5 from both sides.

3x = y + 5

3x - 5 = y (aka y  = 3x - 5)

The other way to solve:

3x - y = 5

Subtract 3x from both sides.

-y = -3x + 5

Now divide both sides by -1.

-1(-y) = -1(-3x + 5)

y = 3x - 5

If you want to solve for x, you would:

Add y to both sides of the equation.

3x = 5 + y

Then divide each side by 3.

x = [tex]\frac{1}{3}y[/tex] + [tex]\frac{5}{3}[/tex]

#teamtrees #PAW (Plant And Water)

what letter does it match?

Answers

Answer:

B. Slope-intercept form is y = mx + b. M is slope, so it would be the one right in front of x which is -3 :)

Whoever gets this corrects gets brainliest!!!

Answers

Answer:

i would say true

Step-by-step explanation:

true is the correct answer

Write an equivalent expression.
−2​(7+6g​)
Choose the correct answer below.
A.
−2​(7+6g​)=6g−14
B.
−2​(7+6g​)=−2−12g
C.
−2​(7+6g​)=−14+6g
D.
−2​(7+6g​)=−14−12

please help lol

Answers

8.5 the answer is and replace the areas

Find the missing length indicated.

Answers

Answer:

I think the answer is 8 you should search it up to make sure

How do you find the h variable? 3ℎ+7=19

Answers

Answer:

h=4

Step-by-step explanation:

Subrtract 7, giving you 12.

Then divide by 3 to isolate h. Giving you 4.

a sample of radioactive isotope had an initial mass of 800 mg in the year 2000 and decays exponentially better over time. a measurement in the year 2005 found that the sample’s mass had decayed to 190 mg. what would be the expected mass of the sample in the year 2009, to the nearest whole number?

Answers

Answer:

The expected mass of the sample in the year 2009 is approximately 60 miligrams.

Step-by-step explanation:

The mass of radioactive isotopes decays exponentially in time, the equation that represents this phenomenon is presented below:

[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (1)

Where:

[tex]m(t)[/tex] - Current mass of the radioactive isotope, in miligrams.

[tex]m_{o}[/tex] - Initial mass of the radioactive isotope, in miligrams.

[tex]t[/tex] - Time, in years.

[tex]\tau[/tex] - Time constant, in years.

First, we must find the time constant associated to the decay of the radioactive isotope by clearing the respective term in (1):

[tex]-\frac{t}{\tau} = \ln \frac{m(t)}{m_{o}}[/tex]

[tex]\tau = -\frac{t}{\ln \frac{m(t)}{m_{o}} }[/tex]

If we know that [tex]t = 5\,y[/tex], [tex]m(t) = 190\,mg[/tex] and [tex]m_{o} = 800\,mg[/tex], then the time constant is:

[tex]\tau = -\frac{t}{\ln \frac{m(t)}{m_{o}} }[/tex]

[tex]\tau = -\frac{5\,y}{\ln \frac{190\,mg}{800\,mg} }[/tex]

[tex]\tau \approx 3.478\,y[/tex]

Now, we calculate the mass of the radioactive isotope in 2009 ([tex]t = 9\,y[/tex]). If we know that [tex]t = 9\,y[/tex], [tex]\tau \approx 3.478\,y[/tex] and [tex]m_{o} = 800\,mg[/tex], then the mass of the radioactive isotope is:

[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex]

[tex]m(9\,y) = (800\,mg)\cdot e^{-\frac{9\,y}{3.478\,y} }[/tex]

[tex]m(9\,y) \approx 60.155\,mg[/tex]

The expected mass of the sample in the year 2009 is approximately 60 miligrams.

The curved part of this figure is a semicircle.

What is the best approximation for the area of this figure?


10.5+7.25π units²

21+7.25π units²

10.5+14.5π units²

21+14.5π units²

Answers

Answer:

Step-by-step explanation:

Draw the diameter from point (-1, -5) to point (2, 3).

The triangle has base 3 and height 8.

The diameter of the semicircle is the hypotenuse of the triangle.

The radius is half the diameter.

The total area is the area of the triangle plus the area of the semicircle.

 

Answer:

A) 10.5+7.25[tex]\pi[/tex]units²

Step-by-step explanation:

This can be divided into a semicircle and a right triangle.

The area of the right triangle is (1/2)(7)(3)= 10.5

the radius of the semicircle is

[tex]d=\sqrt{7^{2} +3^{2} } )=\sqrt{(49+9)} =\sqrt{58}[/tex]

[tex]r=(1/2)(\sqrt{58}[/tex]

[tex]A=(1/2\pi (1/2)(\sqrt{58)^{2} }[/tex]

[tex]A=58\pi /8[/tex]

[tex]A=7.25\pi[/tex]

[tex]---------[/tex]

hope it helps..

have a great day!!

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

30 is the volume

Step-by-step explanation:

Multiple 6x5 to get your answer

In a direct variation, y = 20 when x = 2. Write a direct variation equation that shows the
relationship between x and y.
Write your answer as an equation with y first, followed by an equals sign.

Answers

Answer:

Y=10x

Step-by-step explanation:

Direct variation equations are written. y=kx

y=20

x=2

20=2k

dividing both the sides by 2

we get

10=k

we can have k in the original equation and say y=10x

A woman is q years old while her son is p years old. the sum of their ages is equal to twice the difference of their ages. the product of their ages is 675.
write down the equations connecting their ages and solve the equations in order to find the ages of the woman and her son. WAEC​

Answers

Step-by-step explanation:

Given

[tex]q + p = 2(q - p)[/tex]

as equation 1.

I used q-p as the difference as logically the woman will be older than her son.

Also given,

[tex]qp = 675[/tex]

as equation 2.

Using equation 2,

[tex]q = \frac{675}{p} [/tex]

substitute this equation into equation 1.

[tex] \frac{675}{p} + p = 2( \frac{675}{p} - p) \\ \frac{675}{p} + p = \frac{1350}{p} - 2p \\ \frac{675}{p} - \frac{1350}{p} = - 2p - p \\ - 3p = - \frac{675}{p} \\ - 3p \times p = - 675 \\ - 3 {p}^{2} = - 675 \\ {p}^{2} = - 675 \div - 3 \\ {p}^{2} = 225 \\ p = \sqrt{225} \\ = 15[/tex]

Substitute P into equation 2.

[tex]15q = 675 \\ q = 675 \div 15 \\ = 45[/tex]

Therefore the woman is 45 years old while her son is 15 years old.

Kay wants to increase the number 9,653 by multiplying. By which number can she multiply to get a product that is greater than 9,6537​ (please show step by step explanation)

A: 4/5

B: 2/2

C: 9/4

D: 7/8

Answers

Answer:

Option C.

Step-by-step explanation:

Kay has the number 9.653

We want to find a number such that if we multiply this one by that number, the product will be larger than 9.6537​

First, you need to notice that 9.6537​ > 9.653

Now you need to remember that if we have a number A and a number B.

A*B > A if B > 1

A*B = A if B = 1

A*B < A if 0 < B < 1

Then we need to find an option with a number larger than 1.

Also, a rational number a/b is larger than 1 only if a > b

The only option which has an option larger than 1 is C.

C: 9/4 = 8/4 + 1/4 = 2 + 1/4

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