Write the equation of a circle that has a radius of 1/2 and a center at (1, -1),
O (x - 1)^2 + (y - 1)^2 - 1/2
O (x - 1)^2 + (y +1)^2 - 1/4
O (x+1)^2 - (y + 1)^2 - 1/4
O (x + 1)^2 + (y - 1)^2 = 1/2

Answers

Answer 1

Answer:

[tex](x-1)^2+(y+1)^2=\frac{1}{4}[/tex]

Step-by-step explanation:

The equation of a circle with center [tex](h,k)[/tex] and radius [tex]r[/tex] is given by [tex](x-h)^2+(y-k)^2=r^2[/tex].

What we're given:

[tex]r[/tex] of 1/2Center at (1, -1)

Substituting given values, we get:

[tex](x-1)^2+(y-(-1))^2=\frac{1}{2}^2,\\\boxed{(x-1)^2+(y+1)^2=1/4}[/tex]


Related Questions

ILL GIVE BRAINLIEST!!
Pam is looking for a new car. She has test-driven two cars but can only purchase one. The probability that she will purchase car A is 0.46, and the probability that she will purchase car B is 0.34. What is the probability that she will not purchase either car A or car B? (1 point)

Answers

The total of the two cars is 0.46 + 0.34 = 0.8

The total of all probabilities needs to equal 1

The probability of not buying either car is 1 - the sum of the two probabilities

1-0.8 = 0.20

The probability of not buying either car is 0.20

I need help with basic geometry please help !

Answers

Answer:

Step-by-step explanation:

take 50 degree as reference angle

using sin rule

sin 50 = opposite/hypotenuse

0.766 = x /3

0.766*3 = x

2.298 = x

2.30  = x

answer plz plz plz plz plz​

Answers

C. 270

Hope this helps! :)

Answer:

A.)90 degrees

Step-by-step explanation:

What’s 1/2 + 1/3? Y’all please help me . And when or if you can give me the answer can you do step-by-step on how you did that so I can do it myself next time?

Answers

Hi! 1/2 + 1/3 is 5/6.

2 + 3 = 5
2 X 3 = 6

= 5/6

I hope this helped if I can help in anyway I would be happy to help you. Goodluck :)

[tex]\longrightarrow{\green{\frac{5}{6}}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{1}{2} + \frac{1}{3} [/tex]

Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.

The L. C. M for 2 and 3 is 6.

Now, multiply the L.C.M. with both numerator & denominator.

[tex] = \frac{1 \times 3}{2 \times 3} + \frac{1 \times 2}{3 \times 2} [/tex]

[tex]= \frac{3}{6} + \frac{2}{6} [/tex]

Now that the denominators are equal, we can add them.

[tex]= \frac{3 + 2}{6} \\ \\ = \frac{5}{6} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Determine whether segments with lengths of 27, 28, and 7 form a triangle. If so, classify the triangle as acute, right, or obtuse,

HELP!!! please

Answers

Answer:

38

Step-by-step explanation:

triangle

What point has coordinates of (-5,-2)

Answers

Point C has the coordinates: (-5, -2)

Answer:

c

Step-by-step explanation:

When 9 is added to five times a number, we get 19. The number is

Answers

Answer:

the number is 2

Step-by-step explanation:

5x2=10+9=19

It is number to your welcome man

its urgent please help ASAP ty!!

Answers

Answer:

the answer choices oh uhm I think i

it’s 18:00 because she was out for 30 mins

you guys know the drill,

Triangle ABC has side lengths of 2 cm, 4 cm and 5 cm. Triangle DEF has side lengths of 6 cm, 11cm, and 20 cm. Can triangle ABC and triangle DEF be dilations of each other? Explain.

Answers

Answer:

No because they are not proportional. 2•3=6 but 4•3 does not equal 11.

The solution set of 14x - 71 = 9 is

Answers

Answer:

40/7

Step-by-step explanation:

14x - 71 = 9

14x=80

x=80/14

x=40/7

The answer will be X = 5 5/7 if you do it as a 2 step equation

NEED HELP ASAP !!!! SOMEONE HELP ME

Answers

Answer:

A

Step-by-step explanation:

cos(71)x19=6.1

6.1 =6

Answer:

ladder is 20 feet long.So answer is option c.

Step-by-step explanation:

let the length of a ladder be x

take 71 degree as reference angle

using sin rule

sin 71 =opposite/hypotenuse

0.94=19/x

x=19/0.94

x=20.21

x=20 feet

Which number is between

Answers

Answer:

D

Step-by-step explanation:

7.17 x 10(4) = 71,700

8.17 x 10(5) = 817,000

Any numbers between 71,700 and 817,000 is obv the answer

I did the math

A 69,200

B 7,200,000,000

C 7,570

D 80,530

Pretty obv that D be the only one that is inbetween 71,700-817,000

(excuse my spelling pls)

Consider this equation..

Answers

Answer:

-27

Step-by-step explanation:

[tex]\sqrt{x^4} - y^2\\\sqrt{3^4} - (-6)^2\\\sqrt{3*3*3*3} - 36\\3*3 - 36\\9 - 36\\-27[/tex]

Answer:

45

Step-by-step explanation:

[tex]\sqrt{x^{4} } -y^{2}[/tex]

Plug in 3 for x and -6 for y

[tex]=\sqrt{3^4}-\left(-6^2\right)[/tex]

[tex]=\sqrt{3^4}+6^2[/tex]

[tex]=\sqrt{3^{4} } =3^{2}[/tex]

[tex]=3^2+6^2[/tex]

[tex]3^{2} =9[/tex]

[tex]=9+6^2[/tex]

[tex]6^{2} =36[/tex]

[tex]=9+36[/tex]

[tex]=45[/tex]

The table shows the height of water in a pool as it is
being filled
The slope of the line through the points is 2. Which
statement describes how the slope relates to the height
of the water in the pool?
Height of Water in a Pool
Time
(min)
AN
Height
(in.)
8
12
16
20
24
o The height of the water increases 2 inches per
minute.
o The height of the water decreases 2 inches per
minute
O The height of the water was 2 inches before any
water was added
O The height of the water will be 2 inches when the
pool is filled
6
8
10

Answers

900Answer:900

Step-by-step explanation:

The relation defined by the set of ordered pairs {(0,2), (-2,2), (1,4), (0,-1)} is not a
function. Which of the ordered pairs listed below, if omitted from this relation, will make
the resulting set a function.
A) (4,1)
B) (0,-1)
C) (1,4)
D) (-2,2)

Answers

Answer:

B

Step-by-step explanation:

In fact in this case there is only a value of y when x is equal to 0

I think it has to be letter B I’m sorry if it’s wrong


What is the missing side length in the triangle?


Answers

The length of missing side is 45

NEED THIS ASAP


I really need help

Please help meeee

Don’t need to explain

Answers

Answer:

152 cups were ordered.

Step-by-step explanation:

Let the number of small size cups = x

And the number of medium size cups = y

Total number of cups used = 63

Therefore, first equation will be,

x + y = 63 -------(1)

Brewers emptied = 147 oz

Quantity of coffee in a small cup = 8 oz

Total amount of coffee in small cups = 8x

Quantity of coffee in a medium cup = 12 oz

Total amount of coffee in medium cups = 12y

Therefore, second equation will be,

8x + 12y = 147 -------(2)

Multiply equation (1) with 12 and subtract is from equation (2)

(8x + 12y) - (12x + 12y) = 147 - 756

-4x = -609

x = 152.25

Therefore, 152 cups of small size coffee were ordered.

Answer have to be units please and thank you

Answers

2 units because it’s just a reflection so it’s still the same size

Identify the missing parts in the proof.

Given: ∠ABC is a right angle.

DB bisects ∠ABC.

Prove: m∠CBD = 45°

A:

B:

C:

D:

Answers

Answer:

The missing parts of the proof includes;

1) ∠ABC = m∠CBD + m∠ABD = 90° (Angle addition postulate)

2) m∠CBD = m∠ABD (Definition of angle bisector)

3) m∠CBD + m∠ABD  = m∠CBD + m∠CBD (Substitution property of equality)

Step-by-step explanation:

The given details of the proof are;

∠ABC is a right angle = 90°

Line DB is a bisector of ∠ABC

Therefore;

1) ∠ABC = m∠CBD + m∠ABD = 90° by angle addition postulate

By the definition of angle bisector, we have;

The angles formed by line DB from ∠ABC are equal,

2) m∠CBD = m∠ABD by the definition of angle bisector

3) m∠CBD + m∠ABD = 90° = m∠CBD + m∠CBD = 2 × m∠CBD by substitution property of equality

2 × m∠CBD = 90°

∴ m∠CBD = 90°/2 = 45°

Answer:

A: Given

B: measure the angle ABC = 90

C: angle addition postulate

D: 2 times the measure of angle CBD = 90

Step-by-step explanation:

Hope this helps <3

PLEASE HELP ME PLS U WOULD BE A LIFE SAVER AND ILL GIVE U BRAINLY PLS

In a game of chance, players spin a pointer on the spinner with eight equal-sized sections.

The sample space is 1,1,2,3,3,4,5,5

What are the probabilities of each outcome in the sample space? ( write each answer in fraction form) p.s the answer is supposed to be more than one fraction.

Answers

Step-by-step explanation:

a) Since there are 2 #1 in the spinner, the probability of landing on a 1 is 2/8 or 1/4

b) Since there is only one #2, the probability is only 1/8.

c) Probability of landing on #3 is 2/8 or 1/4.

d) Probability of landing on a #4 is 1/8

e) Just like the case of #1 & #3, there are 2 chances out of eight that it will land on a #5 so the probability is 2/8 or 1/4

What is the coefficient of the squared term in the parabola's equation?​

Answers

What is the coefficient of the squared term in the parabola's equation?​

Answer:

C.) 3

Circle T is shown. Line PS and line RS are tangent to circle T. What is the measure, in degrees, of angle PTR

Answers

0Answer:

Angle PTR is 136*

Step-by-step explanation:

In Question, We Have Given

Line PS and RS are Two Tangent To Circle With Centre T & ∠PSR=44* .

Thus ∠SPT=90* & ∠SRT=90* (Property Of Tangent ↔ Tangent always Form 90* With Radius Of Circle)  

Now We Have A Quadrilateral SPTR & The Sum Of All Angle Of Quadrilateral is 360* .

Thus The Angle Of PTR is

∠PTR = 360* - ( 90*+90*+44*)

∠PTR = 360* - 224*

∠PTR = 136*

Diagram, Please Find In Attachment

Help me to do this question ​

Answers

Answer:

Step-by-step explanation:

1) Vertically opposite angles are equal.

x + 30 = 180 - 2x

Add '2x' to both sides

x + 30  +2x = 180

3x + 30 = 180

Subtract 30 from both sides

3x = 180 - 30

3x = 150

 x = 150/3

x = 50

2)  Let the angle be x

It's complement angle = 90 - x

[tex]x = \frac{2}{3}(90-x)\\\\x = \frac{2}{3}*90 - \frac{2}{3}*x\\\\x =2*30 - \frac{2}{3}x\\\\x +\frac{2}{3}x = 60\\\\\frac{3}{3}x+\frac{2}{3}x=60\\\\\frac{5}{3}x =60\\\\x = 60*\frac{3}{5}\\\\x = 12*3\\x = 36[/tex]

The angles are : 36 , 54

3) Let the angle be x

It's supplement = 180 - x

[tex]x = \frac{1}{5}(180-x)\\\\x =\frac{1}{5}*180 - \frac{1}{5}x\\\\x + \frac{1}{5}x= 36\\\\\frac{5}{5}x +\frac{1}{5}x = 36\\\\\frac{6}{5}x = 36\\\\x = 36*\frac{5}{6}\\\\x = 6*5 = 30\\[/tex]

Angles are  30 , 150

4) Ratio = 7 : 3

The angles are = 7x , 3x

7x + 3x = 180

10x = 180

x = 180/10

x = 18

7x = 7 * 18 = 126

3x = 3 * 18 = 54

Angles are 126 , 54

1. Intersecting lines are lines that cross each other. When two lines intersect, the opposite angles are equal.

Given: x + 30° and 180° - 2x are vertically opposite angles

⇒   x + 30° = 180° - 2x

⇒   3x = 150°

⇒   x = 50°

2. Let the complement be : C

Given : The other angle is two third of its complement

[tex]\sf{\implies Other \ angle = \dfrac{2}{3} \times C}[/tex]

Two angles are said to be Complementary if their sum is equal to 90°

[tex]\sf{\implies C + \dfrac{2C}{3} = 90}[/tex]

[tex]\sf{\implies \dfrac{5C}{3} = 90}[/tex]

[tex]\sf{\implies 5C = 270}[/tex]

[tex]\sf{\implies C = 54}[/tex]

[tex]\sf{\implies Other \ angle = \bigg(\dfrac{2}{3} \times C\bigg) = \bigg(\dfrac{2}{3} \times 54\bigg) = 36 }[/tex]

Answer: The size of the angle which is two third of its complement is 36°

3. Let the supplement be : S

Given : The other angle is one fifth of its supplement

[tex]\sf{\implies Other \ angle = \dfrac{1}{5} \times S}[/tex]

Two angles are said to be Supplementary if their sum is equal to 180°

[tex]\sf{\implies S + \dfrac{S}{5} = 180}[/tex]

[tex]\sf{\implies \dfrac{6S}{5} = 180}[/tex]

[tex]\sf{\implies 6S = 900}[/tex]

[tex]\sf{\implies S = 150}[/tex]

[tex]\sf{\implies Other \ angle = \bigg(\dfrac{1}{5} \times S\bigg) = \bigg(\dfrac{1}{5} \times 150\bigg) = 30 }[/tex]

Answer: The size of the angle which is one fifth of its supplement is 30°

4. Two supplementary angles are in the ratio 7 : 3

Let the supplementary angles be : 7S and 3S

Two angles are said to be Supplementary if their sum is equal to 180°

⇒   7S + 3S = 180°

⇒  10S = 180°

⇒   S = 18°

First Angle : 7S = (7 × 18) = 126°

Second Angle : 3S = (3 × 18) = 54°

Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = X -4
h(x) = 3/4x
h(x) = 1/4x

Answers

Answer:

The answer is h(x)=(1/4)x

Step-by-step explanation:

The answer would be h(x) = 1/4x

Allison measured her rectangular deck and found that it has dimensions of 5 1/2 yards by 8 yards. Both the length and the width may have a measurement error of up to 1/5%. What is the maximum possible area of Allison’s deck, rounded to the nearest thousandth of a square yard?

Answers

Answer:

yes

Step-by-step explanation:

square root of 44,100 by division​

Answers

210 IS THE POSSIBLE ANSWER

Divide the number (44100) by 2 to get the first guess for the square root . First guess = 44100/2 = 22050. Step 2: Divide 44100 by the previous result

A toy store's percent of markup is 45%. A model train costs the store $50. Find the
markup.

Answers

Answer:

$22.50

Step-by-step explanation:

Answer:

$95 is the markup

Step-by-step explanation:

Add 45+50=95

The coordinates of AB are A(2,3) and B(8,1) The perpendicular bisected of AB is CD and point C lies on AB the length of CD is 10 units

Answers

Answer:

The Coordinates of Point C are C(5,2)

The slope of CD is 3

The possible coordinates of point D(a,b) are (6, 5) and (4, -1)

Step-by-step explanation:

According to the Question,

Given, The end points of AB are A(2,3) and B(8,1). The perpendicular Bisector of AB is CD, and point C lies on AB. The length of the CD is √10 units.

Now, Let The Coordinates of Point C are C( x , y ) .

Thus, C( x , y ) =  [tex]\frac{(8+2)}{2} , \frac{(1+3)}{2}[/tex]

        The Coordinates of Point C are C( x , y ) =  [tex]\frac{(10)}{2} , \frac{(4)}{2}[/tex] ⇒C(5, 2).

And, The slope of AB = [tex]\frac{(1-3)}{(8-2)}[/tex] ⇒ [tex]\frac{-2}{6}[/tex] ⇔ [tex]\frac{-1}{3}[/tex] .

       Thus, The slope of CD is [tex]\frac{-1}{The slope of AB}[/tex]  =  [tex]\frac{-1}{\frac{-1}{3} }[/tex]  ⇔  3.

Let the coordinate of D be (a, b) then

       ⇒ √{ (b - 2)² +(a - 5)² } = √10

      on squaring both sides we get,

       ⇒ a² - 10a + 25 + b² - 4b + 4 = 10

       ⇒ a² + b² - 10a - 4b = - 19 ⇔⇔ (Equation 1)

We Know, the slope of CD = 3

     ⇒Thus,  (b - 2)/(a - 5) = 3

     ⇒ b - 2 = 3a - 15

     ⇒ b = 3a - 13 ⇔⇔ (Equation 2)

Putting value of Equation 2 into Equation 1, We get

 ⇒a² + (3a - 13)² - 10a - 4(3a - 13) = - 19

 ⇒a² + 9a² - 78a + 169 - 10a - 12a + 52 = - 19

 ⇒10a² - 100a + 240 = 0

 ⇒a² - 10a + 24 = 0

 ⇒(a - 4)(a - 6) = 0

 ⇒a = 4 or a = 6

Now,

When a = 4 , b = 3(4) - 13 ⇒ 12 - 13 ⇒ b = -1When a = 6, b = 3(6) - 13 ⇒ 18 - 13 ⇒ b = 5

Therefore, the possible coordinates of point D(a,b) are (6, 5) and (4, -1).

Find the missing measurement in this parallelogram.

Can someone please help?????
I must show the work

Answers

Answer:

35º

Step-by-step explanation:

u = 180 - 145

u = 35

Answer: 35 degrees

Explanation: Since we know that its a parallelogram, you would take 180(the degrees of a straight line) and subtract it by 145. 180-145= 35

work out 2/7 divided 7/8

Answers

Answer:

16/49

Step-by-step explanation:

2/ 7÷ 7/8

Copy dot flip

2/7 * 8/7

Multiply the numerators

2*8 =16

Multiply the denominators

7*7 = 49

numerator over denominator

16/49

Answer:

[tex]\frac{16}{49}[/tex]

Step-by-step explanation:

Other Questions
An oil-drilling rig has dug a hole to a depth of -60 ft. after one full day and night of continuoususe. The rate of the rig stayed constant over that time.Part A: The rig will be used to dig a second hole with a depth of -150 ft at the same rate asbefore. How many hours will the rig take to complete digging the hole? 15. Triglycerides, waxes, and steroids are all ___ lipids because they contain only carbon, hydrogen, and oxygen A. simpleB. methyl estersC. complexD. long-chain compounds In order to safely land, the angle that a plane approaches the runway should be no more than 15. A plane is approaching Ottawa MacdonaldCartier International Airport to land. It is at an altitude of 500 m and a horizontal distance of 3 km from the start of the runway. At what angle is the plane approaching and is it safe for the plane to land? I need help fast please Find the distance between A(-1, -1) and B(4, -5). Round your answer to the nearest tenth. What is the surface area of a sphere with a diameter of 6 cm? Suppose you have a bag with 50 letter tiles in it and 23 of the tiles are the letter Y. If23you pick a letter tile at random from the bag, the probability that it is the letter Y is Suppose50another bag has 200 letter tiles in it and 172 of the tiles are the letter Y. Write the probability ofpicking a tile that is the letter Y as a fraction and as a percent. From which bag are you more likelyto pick a tile that is the letter Y? 10. Fill in the blank to make an equal problem 2,165 + ______ + 1,678 = 6,414 what did the song dynasty invent in transportation? that's it. What did Hitler promise to people? Brainliest help please A person notices water waves on the surface of the pond. 18 waves pass by a person in 12 seconds. Calculate the frequency of these water waves. Give the unit. Find the value for both 5 & 6 !! what should we should do when we are so sad and angry also?? Each seat in the passenger cabin is formally assigned. The higher the rank in the government, the closer they are allowed to sit to the President. True or False difference between trychocysts and nematocysts Consider a simple pendulum that consists of a massless 2.00-meter length of rope attached to a 5.00-kg mass at one end. What is the period of oscillation for this simple pendulum HELP ASAP 35 POINTS Which themes does Mr. Shiftlet help reveal? Can someone answer this Ill give brainliest