A circle of center (-3 , -2) passes through the points (0 , -6) and (a , 0). Find a?

Answers

Answer 1

Answer:

-4.5

Step-by-step explanation:

Answer 2

Answer:

[tex] a=1.58, \: \: a =-7.58[/tex]

Step-by-step explanation:

Since, circle of center (-3 , -2) is passing through the points (0 , -6) and (a , 0).

Therefore, points (0 , -6) and (a , 0) will be equidistant from the center of the circle (-3 , -2).

Hence,

Distance between (0 , -6) and (-3 , -2) = Distance between (a , 0) and (-3 , -2).

[tex] [0-(-3)]^2 + [-6-(-2)]^2=[a-(-3)]^2 + [0-(-2)]^2[/tex]

[tex] [0+3]^2 + [-6+2]^2=[a+3]^2 + [0+2]^2[/tex]

[tex] [3]^2 + [-4]^2=[a+3]^2 + [2]^2[/tex]

[tex] 9 + 16=[a+3]^2 + 4[/tex]

[tex] 25=[a+3]^2 + 4[/tex]

[tex] 25-4=[a+3]^2[/tex]

[tex] 21=[a+3]^2[/tex]

[tex] [a+3]^2=21[/tex]

[tex] [a+3]=\pm\sqrt {21} [/tex]

[tex] a=\pm\sqrt {21} - 3[/tex]

[tex] a=\sqrt {21} - 3, \: \: a =-\sqrt {21} - 3[/tex]

[tex] a=1.58257569, \: \: a =-7.58257569[/tex]

[tex] a=1.58, \: \: a =-7.58[/tex]


Related Questions

could someone please help me i really don't understand this

Answers

Answer:

69

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

First, I had to find the total number of dinners, next I had to find how many had prices of "$30 or more." Last, I had to find the total number of dinners who had prices of less than $30.

Total: 10

Less than 30: 3

10 - 3 = 7

7 = Prices of Dinners ($30 or more)

Hope this helps a bit!

An online survey revealed that 78% of the people liked to listen to music in the car. If 234 people said that they like to listen to music in the car, how many people total were surveyed?

Answers

The total amount of people that were surveyed were 300 people.

Explanation: Divide 234 by 78 and you should get what the one percent is. Then multiple that by 100.
300 people. this is because you would divide 234 by 78 (equals 3) then, multiple by 100 (equals 300)

At Mr. Neely bank, the interest rate offered to clients is 4.5% annually. If after three years at the bank he has earned $50 in interest, approximately how much money did he initially deposit? (Round your answer to the nearest dollar!)

Answers

Answer: 9 dollars.

Step-by-step explanation: Just do 4.5/50 x 100 also could I get brainest?

The person who commented is right

Given the Function y=3x+5, find the range if the domain is (-4,-1,2,5)

Answers

y = 3x + 5
domain: x
range: y
Just put it in!
y = 3(-4)+5 = -7
y = 3(-1)+5 = 2
y = 3(2)+5 = 11
y = 3(5)+5 = 20

Answer:

y = 3(-4)+5 = -7

y = 3(-1)+5 = 2

y = 3(2)+5 = 11

y = 3(5)+5 = 20

Step-by-step explanation:

MATH SMARTIES (PLZ ANSWERE IF YOU KNOW WHAT A TREE DIAGRAM IS)I NEED HELP CAN YOU TELL ME IF MY ANSWER IS CORRECT AND IF NOT CORRECT COULD YOU PLZ TELL ME THE CORRECT ANSWERE

Answers

Answer:

C

Step-by-step explanation:

1/2 * 1/2 * 1/2 = 1/6

Hope this helps

Is C I just read the other comments

Can y’all help me with this

Answers

Step-by-step explanation:

i really dont know tbh that confusing

414.92 is the area without the burners

Can y’all help with this math question plz thx

Answers

it’s 1/3 because it is simplified. hope this helps :)

Which statement is true regarding the functions f(x) and g(x)?

Answers

f(x) and g(x) are common fractures

Yuh??
B the slopes are opposite. f(x) is positive while g(x) is negative

help help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

I think (-2,0) (0,-2)
(0,-2)

The solution to a system of equations is the portion where they overlap, and (0,-2) is the only answer within the shaded area

Questions are in the images please help me solve them asap!

Answers

Answer:

3. the last one

6. Spiritual

Step-by-step explanation:

There are approximately 3,000 bass in a lake. The population grows at a rate of 2% per year. Round answers to the nearest tenth.

From Year 1 to Year 4, the average rate of change of the population was about 62.4 bass per year.

From Year 5 to Year 8, the average rate of change of the population was about 67.6 bass per year.

The rate of change increased by about _____ bass per a year.

Answers

Answer:

years 1–4: 62.4 bass per year

years 5–8: 67.6 bass per year

Step-by-step explanation:

If the population in year n is ...

 p(n) = 3000·1.02^n

then the average rate of change from year 1 to year 4 is ...

 (p(4) -p(1))/(4 -1) = 3000(1.02^4 -1.02^1)/3 = 1020·(1.02^3 -1) ≈ 62.4

The average rate of change for years 1–4 is 62.4 bass per year.

___

For years 5–8, the rate of change is similarly computed:

 (p(8) -p(5))/(8 -5) = 3000(1.02^8 -1.02^5)/3 = 1000·1.02^5·(1.02^3 -1) ≈ 67.6

The average rate of change for years 5–8 is 67.6 bass per year.

I need help with this question, Please explain how you did it

Answers

Answer:

c

Step-by-step explanation:

the total of the three angles in a triangle add up to 180.

Answer:

C

Step-by-step explanation:

the sum add up to 180 and all of the angles have to be the same

180-87-23=70 so the other angle has to equal 70

Olivia bought a music CD that was originally priced $17.99. The CD was on sale for 15% off. About how much money did Olivia save by buying the CD on sale? Show your work.
A. $1.207
B. $1.50
C. $2.70

Answers

In my opinion I think it’s c = 2.70

What is the base, x, of the isosceles trapezoid rounded to the nearest hundredth of a centimeter?

Help would be much appreciated! Thank you!

Answers

Answer:

18.58 cm

Step-by-step explanation:

8^2 - 6^2 = sqrt 28

sqrt 28 = 5.29

8 + 5.29 + 5.29 = 18.58

Answer:

Geometry, Trapezoid Calculator, Calculates Area, Diagonals, Angles, height, altitude, perimeter; ... both base lengths and the area. ... A trapezoid has bases that are 30 and 55 centimeters in length and the non-parallel sides (or legs) are 15 and 20 centimeters. ... The isosceles trapezoid has both legs of equal length.

Step-by-step explanation:

The accumulation of all powers, legislative, executive, and judiciary, in the same hands, whether of one, a few, or many, and whether hereditary, self-appointed, or elective, may justly be pronounced the very definition of tyranny [oppressive government].
–Federalist, no. 47,
James Madison
What does James Madison say about the structure of the federal government in this passage and what does he seem to recommend? Check all that apply.
Power must be limited.
Power must be distributed.
Power must be contained in one branch.
Power does not belong in a branch.
Power in one place alone is tyranny.

Answers

I’m sorry I really need to answer questions

When 4(0.5x+2.5y-7.0x-1.3y4) is simplified, what is the resulting expression?

Answers

Answer:

isjdhdjdkxmsksosksns

Answer:

did you get the answer already or do you still need help?

Step-by-step explanation:

Aiden says that equivalent expressions always have the same number of terms. Is Aiden correct? If he is, explain why. If he is not correct, give a counterexample.

Answers

No. Because for example

4+5 is 9, which has 2 terms (4,5)
BUT
3+5+1 also equals 9, which has 3 terms (3,5,1)

Both equations are equivalent to eachother, but do not have the same amount of terms. This also goes for multiplication.

10x10 is 100, which has 2 terms

BUT

5x10x2 is also 100, which has 3 terms, therefor the answer does not determine the amount of terms in an equation.

The opinion of Aiden about equivalent expressions always having the same number of terms is; Not correct

Mathematical Operations

Aiden is not correct with his assertion as we will see for four major operations.

1) Addition; 2 + 6 = 8 and also 1 + 3 + 4 = 8.

We can see that in both cases the expressions have equivalent answers but the number of terms are not the same.

2) In multiplication; 2 × 6 = 12 and also 1 × 3 × 4 = 12. We can see that in both cases the expressions have equivalent answers but the number of terms are not the same.

Same scenario also applies for division and subtraction. Thus, we can say that Aiden is not correct.

Read more about mathematical operations at; https://brainly.com/question/13641997

Chelsea and a group of her friends picked 25 apples on Monday. By Friday, they had eaten 80% of them. How many apples had they eaten by Friday?

Answers

they had eaten 20 apples

I believe 80 percent of 25 is 20.

If this is incorrect, please don't refrain to tell me, and I can edit this answer.

Help me pls


The formula to find the kinetic energy of an object measured in joules, E, is E = 1 2 mv 2, where m represents the mass of the object in kilograms and v represents the velocity (or speed) of the object in meters per second. What is the equation to find m in terms of E and v?

A. m = 1 2 Ev 2

B. m = 2Ev 2

C. m = 2E v 2

D. m = E 2v 2

Answers

B!!!!!!!!!!!!!!!!!!!!!!!!!!!
B 100% because I took the test

Help again, I will give Brainliest to whomever answers right and first!

Answers

Answer:

-7

Step-by-step explanation:

(x²+6x-16)(x-2) = x³+4x²-28x+32

x³+4x²-28x+32 = ax³+bx²+cx+d

a=1; b=4; c= -28; d= 32

-28/4 = -7

A line is reflected, what line is the results?

Answers

Answer:

A I think

Step-by-step explanation:

I dont really get the question so im not sure

Answer:

C.

Step-by-step explanation:

The question states that a LINE is reflected, just with this information we know that A. is incorrect because it is curved.

At first, when looking at B., it seems as though it could work, until you notice that it starts somewhere, but doesn't end, thus it is not a LINE. So, we can count B as incorrect as well.

When looking at C, it it a straight line, and has a beginning and and end, which means that so far, it is the most likely the line.

Then, we look at D. When looking at D, we can tell that it is a straight line, however, it has no beginning and no end, thus it can't be the answer.

Now, we know that C is the only possible answer for this question.

Use the net as an aid to compute the surface area of the triangular prism
i will give brainlest!

Answers

Answer:

135

Step-by-step explanation:

Surface area = perimeter * height

Given the following formula, solve for l.

Answers

What is the formula? What is it I solve for..?

What is the answer?
r=4 b=6 d=5

Answers

Answer:

32

Step-by-step explanation:

sqrt r = 2

b*d = 30

30+2 = 32

Hopefully that helps

Which expression is equivalent to 4(3+5) - 3 • 9²

Answers

Answer:

4 (8) - 3 times 81

Step-by-step explanation:

4(8) - 3 x 81 ..............................

You deposit 800 dollars into a savings account that pays 8 percent interest every year. What is the balance after 10 years?

Answers

Answer:

4000 dollars

Step-by-step explanation:

4000 dollars in the savings account

please help; tell me if you need more information. When a number is raised to the second power, it is called __________.

Answers

Answer:

five squared

Step-by-step explanation:

The power of 2?.........

Help me fasttttttttt ill give brainliest

Answers

Answer:

2 i think

Step-by-step explanation:

The answer is 4 because if you look at the points, the smaller one is on 4. The bigger one is on 8, therefore that is a dilation of 4
Hope it helps!

Please help!!
fully simplify

[tex]\frac{\sqrt{300}+\sqrt{27}-\sqrt{3} }{\sqrt{108} }[/tex]

Answers

Answer:

The answer is 2

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

the answer is 2
you will simplify the expression to 10 square root 3 + 3 square root 3 - square root 3 over square root 108. the collect the like terms which will be 12 square root 3 over square root 108. the simplify the expression which will be 12 over square root 36. calculate the square root in the denominator which is 6. 12/6 is 2

plzzzz help it is due today

Answers

Answer:

because it is going a greater distance in a shorter time yes astroid x is going faster

Answer:

Step-by-step explanation: If you subtract the asteroid number minus the Perseid which is 245 and you will get your answer.

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