the circle with equation x² + y² + sx + ty + 33 = 0 has center (4,5) what is s/t?
someone help please!

Answers

Answer 1

The Value for s/t is 4/5.

What is Equation of Circle?

We know that the general equation for a circle is ( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.

Given:

x² + y² + sx + ty + 33 = 0

x² + y² + sx + s²x²/4 + ty + t²y² / 4 + 33 = 0

(x² + + sx + s²x²/4) + (y² + ty + t²y²/4 ) + 33 = 0

(x+ sx/2)² + ( y+ ty/2)² + 33 = 0..............(1)

We know that the standard form

(x-a)² + (y- b)² = r²

where (a, b) is the center.

So, We have center (4,5)

(x-4)² + (y- 5)² = r²

Now Comparing above with Equation (1) we get

s/2 = -4 and t/2 = -5

s= -8 and t= -10

Then, s/t= -8/(-10)= 4/5

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Related Questions

Solve the inequality x + 1 > 5. Then graph the solutions.

Answers

Solution to Inequality #1:

6 - x > 15
-x > 15 - 6
-x > 9
-x/-1 < 9/-1 (divide by -1; reverse sign of inequality)
x < -9

Solution to Inequality #2:

8x < 1
x < 1/8

OR

x - 9 > -5
x > -5 + 9
x > 4

Solution to Inequality #3:

|x + 3| >= 4

Positive Case:

x + 3 >= 4
x >= 4 - 3
x >= 1

Negative Case:

-1(x + 3) >= 4
-x - 3 > = 4
-x >= 4 + 3
-x >= 7
-x/-1 <= 7/-1 (divide by -1; reverse sign of inequality)
x <= -7

What is a dot plot ?

Answers

Answer:

A graphical display of data using dots.

Step-by-step explanation:

How can you evaluate 2 to the power of 0

Answers

Answer:

How about this: There's always an implicit 1 in the expansion:

23=2⋅2⋅2⋅1=8

22=2⋅2⋅1=4

21=2⋅1=2

20=1=1

A football field is 360 feet long. The titanic was 883 feet. About how many football fields long was the titanic? Write your answer as a whole number and a decimal

Answers

Given:

The length of the football field = 360 feet

The length of the titanic = 883 feet

To find:

About how many football fields long was the titanic?

Solution:

We have,

Length of the football field = 360 feet

Length of the titanic = 883 feet

Now we need to divide the length of the titanic by length of the football field to find the number of football fields whose length is equal to the titanic.

[tex]\text{Number of required football fields}=\dfrac{\text{Length of the titanic}}{\text{Length of the football field}}[/tex]

[tex]\text{Number of required football fields}=\dfrac{883}{360}[/tex]

[tex]\text{Number of required football fields}=2.452777...[/tex]

[tex]\text{Number of required football fields}=2.452\overline{7}[/tex]

[tex]\text{Number of required football fields}\approx 2[/tex]

Therefore, the answer in whole number is 2 and the answer in decimal is [tex]2.452\overline{7}[/tex].

Express the number 4.6 x 108 in standard form​

Answers

Answer:

496.8

Step-by-step explanation:

because there is o value

496.8 is the answer

Alex spent $126.42 on new school clothes and supplies. If $86.23 of that was spent on supplies, what percent of what she spent on supplies?

Answers

Answer:

68%

Step-by-step explanation:

To find the percentage we are going to put the amount she spent on supplies over the total amount she spent and multiply it by 100.

= 86.23 ÷ 126.42 × 100

= 68.2% or 68%

I NEED HELP IM STUCK!!!!!
Apply the 45º-45º-90º Triangle Theorem to find the length of the hypotenuse of a right triangle with the length of leg a 5 inches.
A) 10 inches
B) 2√5 inches
C) 5√2 inches
D) 25 inches

Answers

Answer:

C) 5√2

Step-by-step explanation:

Tony allows his customers to create their own pizza. The customers choose exactly one type of crust, sauce, cheese, and meat for their pizza. The following table shows the options available to customers.

How many different pizza combinations are there?

Answers

Ansewer-192

Explanation
Answer is ........:::::::::::::::: 192

help will mark brainliest, 100 points

Answers

Answer:

Slope:  − 4

y-intercept:   ( 0 , 0 )

x  y  0/ 0

      1 /− 4

Step-by-step explanation:

Give brainliest :)

Answer:

Slope:  − 4

y-intercept:   ( 0 , 0 )

x  y  0/ 0

    1 /− 4

Step-by-step explanation:

Last year at a certain high school, there were 110 boys on
the honor roll and 75 girls on the honor roll. This year, the
number of boys on the honor roll decreased by 20% and the
number of girls on the honor roll decreased by 4%. By what
percentage did the total number of students on the honor
roll decrease? Round your answer to the nearest tenth (if
necessary).

Answers

.86486486 percent but round it

Answer:

13.5 if you round it

Step-by-step explanation:

Find the new amount of people who got the honor role and subtract that from the total. 185-160=25....which is 13.5% of 1185

MARKED BRAINLIEST!!!

Answers

Answer:

(3,-4)

Step-by-step explanation:

Sorry if it is wrong

The run is 2 rise is 3

M
N
Which statement is true about ZJXM and 2NXP?
O ZJXM and 2NXP are complementary
O ZJXM and XNXP are vertical.
O ZJXM and 2NXP are supplementary
O ZJXM and XNXP are adjacent
i

Answers

Answer:

Im late but i was doing the assignment and got A

Step-by-step explanation:

Option A is correct, ∠JXM  and  ∠NXP  are complementary is the true statement.

What are Angles?

An angle is formed when two straight lines or rays meet at a common endpoint.

There are three angles on this straight line JP which are ∠JXM, ∠NXP and ∠MXN

It is shown that ∠MXN is a right angle i.e. 90°.

Then, sum of angle on this line is 180°.

∠JXM + ∠NXP + ∠MXN = 180°

∠JXM + ∠NXP + 90° = 180°

∠JXM + ∠NXP = 180° — 90°

∠JXM + ∠NXP = 90°

From the definition of complementary angles : Two Angles are said to Complementary if their sum is 90° (a Right Angle).

Then, since ∠JXM + ∠NXP add up to 90°, it shows that ∠JXM and ∠NXP are complementary


Hence,  ∠JXM  and  ∠NXP  are complementary is the true statement.

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Given the exponential decay function
y = 39, 752 * (0.925) ^ t which represents the population of a town after t years, what is the rate of decay written as a percentage?

A. 0.073
B. 0.925
C. 7.5
D. 92.5

Answers

The answer is a I hope this helps your welcome

What is equivalent to 9?
A:2^3
B:3^-2
C:2^-3
D:3^2

Answers

D is your answer, it equals 9 :)

1.
The table below shows the favorite fruits of the 6th graders in Alyssa’s school.


What is the mode of this data set?


https://scope.schoolobjects.com/eduphoria_webcontrols/tests/TestImage.aspx?bnk=cscope&aid=79a723b3-8302-4a87-94fa-3a7a8ae740ee&mode=edit

Answers

Answer:

screenshot the data set instead of giving a link then i will be able to help.

Step-by-step explanation:

Chelsea is covering the outside of an old toy box with decorative paper. The box measures 6 inches by 14 inches by 3 inches.

How many square inches of paper is needed to cover the box?

Answers

Answer:

She will be needing 300 square inches of paper

length=14inches

breadth=3inches

height=6inches

TSA= 2(lb+lh+bh)

=2(14×3+14×6+3×6)

=2(42+84+24)

=2×150

=300 square inches

Answer:

69,420

Step-by-step explanation:

69,420 sq ft of decorative paper

in shop a crunchy peanut butter costs $325 for 250g

in shop b crunchy peanut butter costs $408 for 340g

which shop gives better value for money. explain your answer

Answers

Answer:

shop b

Step-by-step explanation:

We can find for example how much 100 grams of peanut butter cost in each shop using a proportion

shop A 100 : 250 = x : 325

x = (325 * 100) / 250 = $130

shop B  100 : 340 = x : 408

x = (408 * 100)/ 340 = $120

We discovered that shop B is cheaper

How many ways can you write a ratio?
Group of answer choices

Answers

Answer:

A ratio can be written in three different ways: with the word “to”: 3 to 4. as a fraction: . with a colon: 3 : 4.

Step-by-step explanation:

write a numerical expression Add 91, 129, and 16, and then divide
by 44. hurry i need help

Answers

Answer:

Step-by-step explanation:

5.364

Someone please solve this today!!

Please show work !

Also don’t waste your time sending that link that hacks you :/

Answers

Answer:

D

Step-by-step explanation:

bx -b -ax +a

collect like terms

bx - ax. + a - b

x(b-a) + b +a

Mr. Bond wrote the inequality –46 < –34. Write a sentence about a real-life situation that compares the values from his inequality.

Answers

Answer:

We have the inequality:

-46 < -34

This naturally happens because -46 is at the left of -34 in the number line, meaning that -46 is smaller than -34.

An example to see this is suppose that these numbers represent money.

Because the numbers are negative, then these represent money you owe.

-46 means that you owe $46

-34 means that you owe $34

Then if we are counting the money you have, owing $34 means that your money is larger than if you owe $46.

Another example is if these numbers represent distance under the surface of the water.

-46 means that you are 46 ft under the surface of the water

-34 means that you are 34 ft under the surface of the water.

Clearly, in the second case your altitude is higher than in the first one, so again, the inequality is true.

Anybody help me please!!!!!!!!!!

Answers

A reflection over the y-axis

Find the measure of the exterior <1.

A. 35°
B. 95°
C. 85
D. 120°

Answers

Answer: the answer is c for me I took the test

Step-by-step explanation:

Took the test

BRAINLY TO WHOEVER CAN HELP- ALSO IF YOU GIVE VIA FILESHARE PLS JUST GIVE ME A VERY BREIF SUMMARY CAUSE I CANT OPEN IT

Answers

Answer:

A':2,4

B'4,4

C'2,4

D'2,1.5

Step-by-step explanation:

Just half all the points so in the case of A the original point is 4,8. Dialating by 1/2 is splitting it in half so the new point would be A' 2,4

PLEASE Answer asap!!!!

Answers

Answer:

x=0

Step-by-step explanation:

The axis of symmetry: [tex]x=\frac{-b}{2a}[/tex] when the equation is [tex]y=ax^2+bx+c[/tex]

The given equation is:

[tex]y=x^2-6[/tex]

To make the a and b values more easily identifiable, we can rewrite it like this:

[tex]y=1x^2+0-6[/tex]

Now, we can tell that a=1 and b=0. Plug these into the equation [tex]x=\frac{-b}{2a}[/tex] :

[tex]x=\frac{-(0)}{2(1)}\\x=0[/tex]

Therefore, the equation for the axis of symmetry for the parabola is x=0.

I hope this helps!

A loggerhead sea turtle decided to swim to grab some lunch! She swam 4 miles west and 3 miles south until she stopped and found a delicious crab to eat. What is the distance between the sea turtle's start point and where she found the crab? Round to the nearest tenths place, if necessary.

Answers

Answer:

5 miles

Step-by-step explanation:

The Pythagoras theorem : a² + b² = c²

where a = length = 4

b = base= 3

c = hypotenuse

4² + 3²

16 + 9 = 25

√25 = 5

WILL VOTE BRAINLIEST, 50 POINTS

Answers

Answer:

-1

Step-by-step explanation:

[tex] - 3f {}^{ - 8} + 7g(2) \\ \\ = 14g - 3f {}^{ - 8} [/tex]

The first group had 4 people and shared 3 candy bars equally. The second group had 5 people and shared 4 candy bars equally. The third group had 8 people and shared 7 candy bars equally. The fourth group had 5 people and shared 3 candy bars equally.

Answers

Answer:

what r u asking

Step-by-step explanation:

What is the reference angle of 255°?​

Answers

Answer:

255 degrees is in quadrant 3. The reference angle in this case is the negative x axis to 255 degrees, which is 255 - 180 = 75 degrees

Step-by-step explanation:

One factor of f(x)=5x3-5x2-170x+280is(x+7). What are all the roots of the function? Use the Remainder Theorem.

Answers

Answer:

Roots of the f(x) is -7 , 4 and 2.

Step-by-step explanation:

Give that

5x^3-5x^2-170x+280 is (x+7)

One factor of f(x) = x + 7

So,

One root , x = -7

First we determine All factors of the given f(x).

Now divide f(x) by given factor the results are given below:

f(x) = ( x + 7 ) ( 5x² - 30x + 40 )  

    = ( x + 7 ) ( 5x² - 20x - 10x + 40 )  

    = ( x + 7 ) ( 5x( x - 4 ) - 10( x - 40 ) )  

    = ( x + 7 ) ( x - 4 ) ( 5x - 10 )

Now

Place x = -7 in the given function,

f(-7) = 5(-7)³ + 5(-7)² - 170(-7) + 280 = -1715 + 245 + 1190 + 280 = 0

So, First root is -7

Now, Place x = 4

f(4) = 5(4)³ + 5(4)² - 170(4) + 280 = 320 + 80 - 680 + 280 = 0

So, Second root is 4

ANd, place x = 10/5 = 2

f(2) = 5(2)³ + 5(2)² - 170(2) + 280 = 40 + 20 - 340 + 280 = 0

So, Third root is 2

Therefore, Roots of the f(x) is -7 , 4 and 2.

Other Questions
Help!!!!!! See image. Consider this diagram.(6x+30)(8x+10)Given: m/CEA (8+10): m/AEDProve: - 10StatementPart AMr. Avila asked his students to write either a two-column proof or a paragraph proof for the question shown.Student A and Student B each made a mistake in their proof. Identify each student's mistake and the step in which theymade it.Type your response in the box.mZCRAmZAED838ZCEA and ZAED are a nearpair.m/CEA + m/AED8z + 10 + 6x + 3014x + 40 18014 140-10Student A's Proofand=180L 180(6m+30)Reasongivendefinition of linear pairLinear pairs aresupplementary.substitutionLike terms can be combined.addition property of equalitydivision property of equalityStudent B's ProofWe are given that mZCEA (8 + 10) andm/AED = (6x +30) By the definition of verticalangles, we know that ZCEA and ZAEDare verticalangles. Vertical angles have equal measures, som/CEA m/AED substitutingm/CEA -3x + 10and m/AED - 6x + 30 intom/CEAZAED, we get8+10= 6z+ 30. Using the subtraction propertyof equality on the variable terms, this becomes2z+10 30. Using the subtraction property ofequality on the constants, we get 2z - 20 By thedivision property of equality, we prove that m 10-- What did Mendel conclude about how traits are inherited in pea plants? How does Ophelia develop? What is an example of US sanction on another country? What is blank verse with examples? which property of jupiter's moon europa makes it a more likely candidate to harbor extraterrestrial life? select one: a. satellite images show seasonal variations on its surface. b. satellites have detected oxygen in its atmosphere. c. hydrothermal activity provides energy to heat and melt an ocean of water beneath its surface. d. jupiter's powerful magnetic field generates electrical activity on its surface. For a client with graves' disease, which nursing intervention promotes comfort? Fill in the blank: A data analyst wants to quickly create visualizations and then share them with a teammate. They can use _____ for the analysis.1 / 1 pointthe R programming languagestructured query languagea dashboarda database When conducting an evaluation, it is not good practice to provide on-site feedback as you uncover information that could benefit the agencies work during the study. Which of the following characters most plausibly symbolizes the sense ofdisplacement that African Americans faced before and during the civil rightsera?O A. Theresa, a new lawyer attempting to thrive in a firm that is runentirely by menOB. Margaret, a single mother who is expected to work two jobs at thesame timeC. Peter, a wrongly convicted man who tries to convince people thathe's innocentO D. Warren, a deceptive con artist who lives up to his reputation as acrook What does the pig represent in Animal Farm? How to find the value of a + b + c.I know the answer but I do not know how to arrive at the answer:[tex]answer = 9[/tex] What is a band of indigenous people? a large group with a chief a close, extended family a tribe with many villages a federation with many groups. FILL IN THE BLANK. the area under the normal curve to the right of mu equals _______. A _________ is a framework to relate the market segments of potential buyers to products offered or potential marketing actions Why might squaring a number and taking the square root of a number be thought of as opposite operations? What did World War 2 do for women's rights? in the blanks. (6) Ability to exert maximum force of contraction in minimum possible time.. (7) Greatest amount of force a muscle or muscle group can exert in a single effort.... (8) Performance of repeated movements with a sub-maximal force for an extended period of time...............Tick (P) mark either Yes or no (9) Health and physical fitness are synonymous. (Yes/No) (10) A physically fit person can carry out physical tasks for longer duration without fatigue. (Yes/No) (11) Body composition is a health related physical fitness component. (Yes/No) (12) Agility and coordination are skills related to physical fitness components. (Yes/No) (13) Vertical jump helps to measure flexibility. (Yes/No) (14) List the activities which are generally done by you and your peers for physical fitness. Aerobic........... Anaerobic (15) Write how often you engage yourself in the above mentioned activities and their effect on your total alth. What is one of the main reasons a company would issue a stock dividend?