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A circle has its center at the point (1, -3) and goes through the point (-3, 0). Using this information, write the equation for the circle.

Answers

Answer 1

Answer:

(-3-1)^2+(0+3)^2=r^2

radius is 5 units

Step-by-step explanation:

(x-h)^2+(y-k)^2=r^2

We know values of all variables except r at the moment.

h is the x-coordinate of the center of the circle, and k is the y-coordinate.

x and y are coordinates of a point the circumference touches.

From there, just plug in the numbers and solve!


Related Questions

A spotlight is mounted on a wall 9.8 feet above a security desk in an office building. It is used to light an entrance door 14.5 feet from the desk. To the nearest degree, what is the angle of depression from the spotlight to the entrance door?

Answers

to be honest i think your answer is 51°

hii please help i’ll give brainliest!!

Answers

Answer:

B

Step-by-step explanation:

Newton's third law states that for every force in nature there is an equal and opposite reaction.

What is the product of 8x²y² and 9xy³ ?​

Answers

Answer:

72x^3y^5

Step-by-step explanation:

8x²y² x 9xy³

72x^3y^5

I need help I am lost please help me

Answers

Answer:

6

Step-by-step explanation:

Because 6 is 6 times as 1, 12 is 6 times as 2, 18 is 6 times as 3 and so on.

Choose the expression that shows P(X) = x3 + 5x2 + 11x + 10 as a product of two factors.
A. 2x(x2 + 3x + 3)
B. (x + 1)(2x2 + 3x + 6)
C. (2x + 3)(x2 + x + 2)
OD. (X + 2)(x2 + 3x + 5)

Answers

Answer:

D

Step-by-step explanation:

X3+3x2+5x+2x2+6x+10

Collect like terms

X3+5x2+11x+10

The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;

⇒ (x + 2) (x² + 3x + 5)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ P(X) = x³ + 5x² + 11x + 10

Now,

Solve the expression for the factors as;

The expression is,

⇒ P(X) = x³ + 5x² + 11x + 10

Since, -2 is the solution of the expression.

Hence, (x + 2) is one of the factor of the expression.

So, Find the second factor by dividing the expression (x³ + 5x² + 11x + 10)

by (x + 2), we get;

x + 2 ) x³ + 5x² + 11x + 10 (x² + 3x + 5

         x³ + 2x²

        --------------

               3x² + 11x

               3x² + 6x

             ------------------

                       5x + 10

                       5x + 10

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

                           0

Thus, The second factor = (x² + 3x + 5)

Therefore,        

x³ + 5x² + 11x + 10 = (x + 2) (x² + 3x + 5)

Thus, The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;

⇒ (x + 2) (x² + 3x + 5)

Learn more about the mathematical expression visit:

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Find the percentage change from
75 to 50.

Answers

Step-by-step explanation:

50÷75 is .6667. that means that 50 is 66.7 percent of 75.

100 minus 66.7 is 33.3. It is a 33.3 percent change

Answer:

-25%

Step-by-step explanation:

hope this helps!! please mark brainliest.

Your parents are buying a new car for $15,000. They pay 6.25% sales tax . How much do they pay for the car including tax

Answers

Answer:

$15,937.50

Step-by-step explanation:

15000 × 1.0625 = 15937.5

The length of a rectangular courtyard can be represented by (4x +3) and the width by (3x– 7). What is
the area of the courtyard?

Answers

the area is 12x^2-19x-21

Can y’all help me out please

Answers

Answer:

D. the function approches 1 as x approches -∞ and ∞

Jim borrows $210 from his sister at an 8% interest for seven years. How much interest does Jim have to pay?

Answers

Answer:

$117.6

Step-by-step explanation:

Formula:

I = Prt

Given:

P = 210

r = 8% = 0.08

t = 7

Work:

I = Prt

I = (210)(0.08)(7)

I = 117.6

Answer:

Step-by-step explanation:

So with 8% interest, Jim will have to pay 8% more each year. For the first year we need to multiply 210 with 1.08 to find the amount that Jim would have had to pay to his sister if he had gotten an 8% interest for 1 year. Every time the year increases we need to multiply the previous number with 1.08 because we are looking for the 8% increased value of the previous one, therefore our equation is:

P(t) = 210*(1.08)^t --> (t=time in years, P(t)=amount of money Jim need to pay back with respect to time)

Since Jim gets an 8% interest for 7 years we have to put in 7 for t.

P(7)=210*(1.08)^7

which is approximately $359.903

I will mark branliest!
Find the area of the circle below, rounding your answer to the nearest tenth.

Answers

Answer:

sorry it blurry the answer is 154cm²

hope that helps

Cuánto tiempo debe transcurrir para que un capital de $3,000.00 alcance un monto de $7,000.00, si la inversión se hizo con 5% de interés simple mensual?

Answers

Answer:

27 years approx

Step-by-step explanation:

Given data

Principal P= $ 3,000

Final amount A= $ 7000

Rate r= 5%

The simple interest expression is

A=P(1+rt)

substitute and solve for t

7000=3000(1+0.05t)

7000=3000+150r

7000-3000=150r

4000=150t

t= 4000/150

t= 26.66

Hence, the time is 27 years approx

PLEAS HELP ASAP 30 POINTS!!!
An incomplete proof of cosθsinθ/1+sinθ=tanθ(1-sinθ) is shown.
Which of the following expressions could be used to complete the third step pf the proof?

Answers

Answer:

C

Step-by-step explanation:

Take a look at the RHS of the 2nd step, the denominator -- 1-sin²∅ = cos²∅

We come up to the conclusion of C

A researcher is interested in the effect of alcohol consumption on reaction times. Participants are assigned to one of three possible conditions: nonalcoholic beer group, 1 beer group, 2 beer group. After drinking, each participant is run through a driving simulator that measures their reaction time to unexpected obstacles (e.g., a child running into the street after a ball) that randomly appear during the simulation. In this example, what is the independent variable

Answers

Answer:

The three different possible conditions ;

nonalcoholic beer group, 1 beer group, 2 beer group

Step-by-step explanation:

The Independent variable, also known as the predictor variable are variables used to influence and check changes in the dependent or predicted variable as subjects are exposed to the different types or levels of independent variable used in the study.

In the scenario described above, the predictor or independent variables which are used to measure the reaction times of participants to unexpected variables is the independent variable, beacuse these different variables ; nonalcoholic beer, 2 beer will probably affect the response time of the participants which is the dependent variable.


Sally flipped a penny 25 times and landed on heads 16 out of the 25 times. If she plans to flip the coin 100 times,
how many times can she expect to land on heads?

Answers

Answer:

50 times

Step-by-step explanation:

Since the odds of her getting a heads is 50% (1/2) every time she flips the coin. So she should expect to get 50 heads. However this number varies practically because in every single flip there is a 50-50 chance. If she had flipped it infinitely many times then it would be exactly 50%

Which one of the following expression is binomial?
A. 2x+3y+z
B. 2x+3
C. 2x
D. x+y+z

Answers

Answer:

2x+3

good luck

nice day

gg

Answer:

B. 2x+3

Step-by-step explanation:

Have a great day

what is the distance between the points (-5,-4) and (3,-3) on a coordinate plane​

Answers

Answer:

18

Step-by-step explanation:

if you were to plug the coordinates into a graph, (-5,-4) would be 16 blocks to the right and two blocks up making it a total of 18

Hope this helps!

The distance between the points P ( -5 , 4 ) and Q ( 3 , -3 ) on the plane is given by D = 8.06 units

What is the distance of a line between 2 points?

The distance of a line between 2 points is always positive and given by the formula

Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )

The distance between A and B is D , and the distance D is

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

Given data ,

Let the first point be P = P ( -5 , -4 )

Let the second point be Q = Q ( 3 , -3 )

Now , distance between P and Q is D , and the distance D is

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

D = √ ( -5 - 3 )² + ( -4 - ( -3 ) )²

D = √ ( 64 + 1 )

D = √65 units

D = 8.06 units

Hence , the distance is 8.06 units

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6th grade math easy helpp

Answers

Answer: 18 degrees

Step-by-step explanation:

If the temperature dropped 12 degrees (48-36) in 10 hours then the ratio is

10hours:12 degrees

to find hours divide both sides by 2 and multiply by 3 to get

15hours: 18 degrees

Michael needs at least $200 to buy airpods. He already has $50. If he saves $15 each week, how many weeks will it take for Michael to reach his goal? Write and solve an inequality.

Answers

Answer:

it will take him 3 weeks to reach is goal.

Step-by-step explanation:

if michael needs $200 and he already has 50 then 200-50 is 150. then you divide 150 divided by 15 to get 3

hopethis helped.

How to find mean absolute deviation

Answers

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|.

---

hope it helps


A rectangle has a perimeter of 24 ft. Following a dilation, the new perimeter of the
rectangle is 36 ft.
Determine the scale factor of the dilation.

Answers

Answer:

it has increased by 1/2 so the scale factor would either be 3/2 or 1.5 or something

Step-by-step explanation:

What is the probability of NOT landing on a 7?
Answers:
1/7
2/7
6/7
3/7

Answers

Answer:

6 out of 7 6/7

Step-by-step explanation:

Mmm statistics at its best, okay lets go.

So I’m assuming this is a 7 sided die or something along those lines.

So, if you could land on any other value EXCEPT for seven, since six values are before, it would be a 6 out of 7 chance to not land on a 7.

Joseph flew home from vacation with a heavy bag. With the first airline he flew, Joseph had to pay $27 to check his bag, plus $24 for every kilogram that his bag was over the weight limit. The next flight was with another airline that had the same weight limit. Joseph had to pay $25 per kilogram that his bag was over the weight limit, in addition to the checked bag fee of $16. By coincidence, the fees ended up being the same with both airlines. How far over the weight limit was the bag

Answers

Answer:

Step-by-step explanation:

Flight A :

Checked bag fee = $27

Additional fee per overweight limit = $24

Flight B:

Checked bag fee = $16

Additional fee per overweight limit = $25

Since, the total amount paid for the package on both flights are the same ;

Let x = mass of bag above the weight limit.

Hence, Mathematically ;

27 + 24x = 16 + 25x

24x - 25x = 16 - 27

-x = -11

x = 11

Hence. The bag was s 11kg over the weight limit.

50 points!

-]Kala’s fish tank has 16 liters of water in it. She plans to add 4 liters per minute until the tank has more than 36 liters. What are the possible numbers of minutes Kala could add water?
-]Use t for the number of minutes.
-]Write your answer as an inequality solved for t.

Answers

Answer:

I will ask a freind if they know

Step-by-step explanation:

Answer:

t > 5

Step-by-step explanation:

Time : liters

[tex]\left[\begin{array}{ccc}0&16\\1&20\\2&24\\3&28\\4&32\\5&36\\6&40\end{array}\right][/tex]

We can see using the table that at 5 minutes, there would be 36 liters of water in the tank. Since Kala is going to keep filling the tank until there is more than 36 liters, the inequality would be t > 5.

The school band gets $5 for each T-Shirt they sell at a fundraiser. They have a goal of raising $150. If $45 has been raised do far, how many more T-Shirts do they have to sell to reach or exceed the goal?

Answers

$45 ÷ 5 = 9 (T-shirts sold so far)
$150 ÷ 5 = 30 (t-shirts they want to sell in order to have a goal of $150)
30-9= 21 more t-shirts
Ans: 21

Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please

Answers

Answer:

SQ

Step-by-step explanation:

NL:SQ = MN:SR = ML:RQ (corr.side, similar triangles)

help! parallel, perpendicular, or neither?

Answers

Answer:

parallel

Step-by-step explanation:

Because a is pependicular to k

Parallel.

Hope that’s helpful :)

solve for x. please help asap we have a test on these tomorrow and i have no idea what’s going on.

Answers

Answer:

x = 20°

Step-by-step explanation:

You know the horizontal line is 180°. If the left side of the horizontal line is 90° (right angle), then the right side of the horizontal line should be 90° too. (180° - 90° = 90°)

Thus, 90° = 43° + 2x + 7°

2x = 90° - 43° - 7°

    = 40°

x = 40° ÷ 2

x = 20°

Answer:

X = 2

Step-by-step explanation:

As the lines are perpendicular...

90 = 43 + 2x + 7

Solve for x by making x the subject.

90 - 43 - 7 = 2x

40 = 2x

40/2 = x

20 = x

therefore, x = 2

The net of a rectangular prism as shown in the diagram below what is the total surface area of the rectangle prism in square inches. HELP PLZZZZZ

Answers

Answer:

b. 278 sq. in.

Step-by-step explanation:

i passed pre-algebra ik what i'm talking about

Factor 60y - 90 - 20x to identify equivalent expressions

Answers

Answer:

10(6y−9−2x) and 5(12y−18−4x)

Answer: 10(60y/10 - 90/10 +-20x/10)

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