Mathematics College

C is the circle with the equation x^2 + y^2=1

Answers

Answer 1

Answer:

a) The equation of the tangent to the circle

x + √3y = 2

b) [tex]a = \frac{-1}{\sqrt{3} } , b = \frac{2}{\sqrt{3} }[/tex]

Step-by-step explanation:

Step(i):-

Given the equation of the circle x² +y² =1

Tangent equation of the circle x² +y² =a² is xx₁ +yy₁ - a² =0

The tangent equation of the given circle

xx₁ +yy₁ - 1² =0

This equation passes through the point ([tex](\frac{1}{2} , \frac{\sqrt{3} }{2} )[/tex]

[tex]x(\frac{1}{2} ) +y(\frac{\sqrt{3} }{2} ) =1[/tex]

⇒ x + √3y = 2

The equation of the tangent to the circle

x + √3y = 2

Step(ii):-

Slope - intercept form y = ax +b

√3y = - x + 2

[tex]y = \frac{-x}{\sqrt{3} } + \frac{2}{\sqrt{3} }[/tex]

where

[tex]a = \frac{-1}{\sqrt{3} } and b = \frac{2}{\sqrt{3} }[/tex]

Related Questions

If a chef can make 25 pastries in a day, how many can he make in a week?

Answers

Answer: 175

Step-by-step explanation:

4. Cynthia earns $2,105 per month as a clerk at Trioberg Maintenance Shop. How much does she earn in a year? Explain how you got your answer.

Answers

Answer:

$25260

Step-by-step explanation:

12 months in a year

2105 × 12 = 25,260

Who goes to Edgewood Middle School in Ninety Six SC

Answers

Answer:

nope

Step-by-step explanation:

but it's probably better than where i am

Find the slope of the ordered pairs (2,5) (4.13)

Answers

9514 1404 393

Answer:

Step-by-step explanation:

The slope formula is useful:

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

m = (13 -5)/(4 -2) = 8/2

m = 4

The slope of the line through those points is 4.

Evaluate 4y+8 , and y=6

Answers

4(6)+8=? You would times it by 4 and then add it
24+8=32

4 x 6 + 8
24 + 8
= 32

which expression is equivalent to 2(x+7)-18x+4/3

Answers

Answer:

do u need to show your work or u just need the answerz

Step-by-step explanation:

-6x - 10(x-4)
What is the answer

Answers

Answer:

-16x + 40

Step-by-step explanation:

answer: −16x + 40

-6x - 10(x-4)
-6x - 10x + 40

-x + 4 = x + 6
What the answer to this

Answers

Answer:

All you need to do is balance the equation.

x = -1

Step-by-step explanation:

The variables y and x have a proportional relationship, and y = 25 when x = 60 What is the value of x when y = 30? O x= 25 O x= 36 0 x = 50 OX= 72

Answers

Answer:

The answer is OX=72

Step-by-step explanation

Took the quiz and got it right :)

IF NQZ IS SIMILAR TO CBK, FIND BK

Answers

Answer:

Bk = 65

Step-by-step explanation:

BK as we can see is 4x + 1

If two triangles are similar, the ratio of the corresponding sides are the same

Thus;

2x+7/27 = 4x + 1/45

45(2x + 7) = 27(4x + 1)

90x + 315 = 108x + 27

108x-90x = 315-27

18x = 288

x = 288/18

x = 16

From the question;

BK = 4x + 1

BK = 4(16) + 1

BK = 64 + 1

BK = 65

1.) What is the GCF of 12 and 26

Answers

Answer: 2

Step-by-step explanation: 12 = 1,2,3,4,6,12

26 = 1,2,13,26

If the total restaurant bill was $35, and you want to
leave a 20% tip. How much tip are you leaving for the
waiter?

Answers

Answer:

Step-by-step explanation:

Tip=$7 $7 + $35 = $42

Find the slope and the y-intercept of the equation 4x + 5y=-9.
O A. slope = 4/5' and y-intercept = `-(9)/(5)
slope = '-(4)/(5) and y-intercept = (9)/(5)
OC. slope = \-(4)/(5) and y-intercept = -(9)/(5)
OD. slope = (4)(5) and y-intercept = `975

Answers

C. since Y= -4/5x - 9/5

If (x - 3)2 = 5, what values of x make the quadratic equation TRUE?
O A
15
+
3
O B. 3+15
O C. --J5+ 3
D. -3+15

Answers

Answer:

I need Help on this one too.

Step-by-step explanation:

please help

Answer: Its b

Step-by-step explanation:

tabitha has 1/2 loaf of bread she need to slices in 9 equal parts how many pieces will there be

Answers

Answer:

1.3

Step-by-step explanation:

i really duno thow

Answer:

1/18

Step-by-step explanation:

we are doing 1/2 divided into 9 parts so that would be 1/2 / 9 but when we divide fractions we turn one of the fractions upside down and instead of dividing we multiply so it would look like 1/2*1/9 = 1/18

i had $3 and my mom gave me $10 and my father gave $30 and my aunt and my uncle gave me $100 and i had another $7.how did i have

Answers

Answer: The answer is $150.00

I hope this helps

Step-by-step explanation:

1. Which measure is equivalent to 16 quarts?

Answers

Step-by-step explanation:

1quart=2pints

16quarts=32pints

Answer:

64 cups

Step-by-step explanation:

Please help

A can holds 345 milliliters of orange juice. How many liters of orange juice is
this?
Metric Units of Capacity
1,000 milliliters (ml) = 1 liter (L)
100 centiliters (CL) 1 liter
10 deciliters (dL) = 1 liter
1 dekaliter (dal) = 10 liters
1 hectoliter (L) = 100 liters
1 kiloliter (KL) = 1,000 liters

Answers

Answer:

0.345 L

Step-by-step explanation:

so we know that 1L = 1000 mL

now we have 345 mL so it equals 0.345 L

Tim worked to earn $63.00. if he earns $9.00 and hour, how many hours did Tim work? 5
Blank 1:

Answers

Answer:

tim worked 7 hours

Step-by-step explanation:

givr branliest pls

Answer:

7 hours.

Step-by-step explanation:

subtract 9.00 from 63.00 till there is 0.00

Twenty students bought tickets for a school party. All of the money received for these 20 tickets was used to purchase beverages. Then, an additional 10 students bought tickets. Rather than use this additional money to buy more refreshments, all 30 students received a $3.00 refund. How many dollars were used to buy beverages?

Answers

Answer:

Step-by-step explanation:

Answer:

$87 were used on beverages

Step-by-step explanation:

I really need help on this one

Answers

Answer:8/9

Step-by-step explanation:

The parallelogram shown below has an area of 21 units2.
7
8

Answers

Answer:

then the height is probably 3 or 7, and the length as the other

Step-by-step explanation:

A line with a slope of 10 passes through the point (0, 10). What is its equation in
slope-intercept form?

Answers

Answer:

y = 10x + 10

Step-by-step explanation:

(0,10) means that the y is 10 when the x is 0, which is the y-intercept

y-intercept: 10

b = y-intercept

m = slope

slope: 10

y = mx + b

y = 10x + 10

tell me what you discovered about how changing b with numbers between 0 and 1 changes the graph

Answers

Answer: Do you have a picture that goes with this, because this could be a matter of things you are talking about, haha. Thanks

A25f oz. botie of Tide detergent costs $3.99 and a 90 fl oz. bottle of Tide detergent costs $6.99. Is the 25 oz or 90 oz bottle of Tide a better

buy?

Answers

Answer:

The 90 oz bottle of Tide is the better buy because it has a lower price per oz.

Step-by-step explanation:

To find the bottle of Tide that is a better buy, you have to divide each price for the number of ounces they have and determine the one that has the lower price per ounce.

$3.99/25= $0.15

$6.99/90= $0.07

According to this, the answer is that the 90 oz bottle of Tide is the better buy because it has a lower price per oz.

Caroline paid a total of $494 for her gym
membership. The gym membership required
Caroline to pay an initial $380 plus an additional
amount per month. Write an equation to find
the additional amount Caroline paid per month if
she had the membership for 12 months.

Answers

Answer:

3x+y-380

Step-by-step explanation:

Answer:

380+12=494

Step-by-step explanation:

9. If AT = 2x + 1, TL = 15, and AL = 7x + 1, select ALL that are true.

Answers

Answer:

B. x = 3

C. Segment AT = 7

F. Segment AL = 22

Step-by-step explanation:

To figure out what the length of Segments AT and AL are use the equation ((2x + 1) + 15) = 7x + 1.

((2x + 1) + 15) = 7x + 1

Add 1 to 15 to get 16.

2x + 16 = 7x + 1

Subtract 7x from both sides. This cancels the +7x.

2x + 16 - 7x = 1

Combine 2x and -7x to get -5x

-5x + 16 = 1

Subtract 16 from both sides. This chancels the +16x.

-5x = 1 - 16

Subtract 16 from 1 to get -15.

-5x = -15

Divide both sides by -5. This cancels the multiplication by -5.

x = -15/-5

Dividing any two negative numbers ends in a positive. Divide -15 by -5 to get 3.

x = 3

Now, substitute x for 3 in 2x + 1 and 7x + 1 to figure out the lengths.

2(3) + 1

Mulitply 2 by 3 for 6.

6 + 1

Add 1 to 6 to get 7.

Segment AT is 7 units long.

7(3) + 1

Multiply 7 by 3 to get 21.

21 + 1

Add 1 to 21 to get 22.

Segment AL is 22 units long.

Need help with these 5 questions any help with any of these is a big help!

Answers

Answer:

Has this question in gr 8 struggled with it couldnt figure it out and people on brainy dont help either

identify the point of tangency in the circle shown

Answers

Tangency is when a line is fully outside the circle and touches it in one place.

The point of tangency would be point H

Answer:

Point H is the right answer.

Step-by-step explanation:

Tangency is when the line is outside the circle and touches at single point.

Can a function have a y-value with more than one x value why or why not ?

Answers

No because x can only repeat two times. After that it is no longer a proper function

Other Questions

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The same fate, sooner or later, is awaiting them all, unless awakening public opinion comes forward to stop it.How does Muir try to persuade his audience in this excerpt?He appeals to readers' feelings of nostalgia for natural beauty that might be lost.He encourages readers to stop trampling the land so that it remains beautiful.He encourages readers to get as angry as he is about the loss of natural areas.He appeals to readers' sense of guilt about building cities within wilderness areas. Finally, write a half-page essay discussing how you think China's one-child policy has affected the country's economic development and use of natural resources. 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