The midpoint of AB is M(1, -4). If the coordinates of A are (-3,-6), what are the coordinates of B?

Answers

Answer 1

Answer:

The coordinates of B is (5,-2)

Step-by-step explanation:

In order to find the coordinates of B, you have to use midpoint formula. Then substitute the following values into the formula :

[tex]m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

Let (x1,y1) be A (-3,-6),

Let (x2,y2) be B,

Let midpoint be M (1,-4),

[tex](1, - 4) = (\frac{ - 3 + x2}{2} , \frac{ - 6 + y2}{2} )[/tex]

[tex]by \: comparison, \: [/tex]

[tex] \frac{ - 3 + x2}{2} = 1[/tex]

[tex] - 3 + x2 = 2[/tex]

[tex]x2 = 5[/tex]

[tex] \frac{ - 6 + y2}{2} = - 4[/tex]

[tex] - 6 + y2 = - 8[/tex]

[tex]y2 = - 2[/tex]


Related Questions

Jen has a newer car than Amelie, and it has One-third the miles of Amelie’s car. Amelie’s car has 45,000 miles. Which of the following equations model this situation? Select all that apply.
3(m) = 45,000
1/3 + m = 45,000
m = (1/3) (45,000)
m = 3(45,000)
m = 1/3 = 45,000

Answers

Answer:

Its 1rst and 3rd

Step-by-step explanation:

I took the assignment. Its correct.

Answer:

1 and 3

Step-by-step explanation:

on edge just got it right :)

Find the center and radius of the circle described by the equation x2 + y2 + 6x - 4y - 27 = 0.

Answers

Answer:

Step-by-step explanation:

hello :

x²+ y² + 6x - 4y - 27 = 0 means : (x²+6x+9)-9+(y²-4y+4)-4-27 =0

(x+3)²+(y-2)² = 40....standard form when the center is (-3 , 2) and radius √40

The center is (-3, 2), and the radius root40.

We have given

x²+ y² + 6x - 4y - 27 = 0

It can be written as

(x²+6x+9)-9+(y²-4y+4)-4-27 =0

Write the given equation in standard form

What is the standard form of the circle?

(x-a)^2+(y-b)^2=r^2

Where (a,b) be the center and

r-is the radius of the circle

(x+3)²+(y-2)² = 40

Compare the above equation with the standard form of the equation

The center is (-3, 2), and the radius root40.

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Solve for 2.
Write the smaller solution first, and the larger solution second.
(3x – 6)(-x + 3) = 0
smaller x =
larger x =

Answers

Answer:

(3x – 6)(-x + 3) = 0

=> 3x - 6 = 0 => x = 6/3 = 2

and

=> -x + 3 = 0 => x = 3

Hope this helps!

:)

Ben and Tom each take their driving test. The probability that ben and tom will pass is 0.8 and 0.7, respectively. Work out the probability that only one of them will pass their driving test.

Answers

Answer:

Pr(only one of them will pass the driving test) = 0.38

Step-by-step explanation:

The probability that Ben will pass = 0.8

Let Pr = pribability

Pr(Ben pass) = 0.8

Pr(Ben fail) = 1 - Pr(Ben pass) = 1-0.8

Pr(Ben fail) = 0.2

The probability that Tom will pass = 0.7

Pr (Tom pass) = 0.7

Pr (Tom fail) = 1 - Pr (Tom pass) = 1-0.7

Pr (Tom fail) = 0.3

Pr(only one pass) = Pr(Ben pass and Tom fail) + Pr (Tom pass and Ben fail)

Pr(only one pass) = (0.8 × 0.3) + (0.7 × 0.2)

Pr(only one pass) = 0.24 + 0.14

Pr(only one pass) = 0.38

Answer:0.38

Step-by-step explanation:

What is 1/2 + 2/3? Im stupid so I don't know what this is. idk I'm dumb

Answers

Answer:

=7/6 pls mark me as brainlist

Step-by-step explanation:

1/2+2/3

=find lcm = 6

=1x3/2x3 +2x2/3x2

3/6+4/6

=7/6

Answer:

1/2 + 2/3 = 1 1/6

Step-by-step explanation:+

1/2 + 2/3 = ?

Find the common denominator.

3/6 + 4/6 = 7/6

Turn your improper fraction into a mixed number.

1 1/6

When trying to find solutions to the system of equations x+y=3 2x+2y=6 you take several correct steps that lead to the expression 0=0. Which statement is true?

Answers

Answer:

They are the same equations. (I don't know what you mean by "true.")

Step-by-step explanation:

If you divide 2x + 2y = 6 by 2, it turns into x + y = 3. This means that the graphs of the lines are the same, or there are infinite solutions.

I am really sorry if this is wrong because I am not really sure what you meant by "Which statement is true?"

What are the x-intercept and the y-intercept of the graph of 8x – 7y = -56?

Answers

Answer:

x-intercept

y=0

8x - 7(0)= -56

8x = -56

x = -7

(-7, 0)

y-intercept x= 0

8(0) -7y = -56

-7y = -56

y = 8

(0, 8)

Step-by-step explanation:

The x - intercept of the equation is, (- 7, 0)

The y - intercept of the equation is, (0, 8)

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 equation is,

⇒ 8x - 7y = - 56

Now, We have to find the x - intercept as;

Substitute y = 0,

⇒ 8x - 7×0 = - 56

⇒ 8x = - 56

⇒ x = - 56/8

⇒ x = - 7

And, We have to find the y - intercept as;

Substitute x = 0,

⇒ 8x - 7y = - 56

⇒ 8×0 - 7y = - 56

⇒ - 7y = - 56

⇒ 7y = 56

⇒ y = 56 / 7

⇒ y = 8

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Kate recorded the length of her last six workouts. Workout Length (minutes) 1 49 2 29 3 32 4 55 5 42 6 29 What is the median of the lengths of Kate's workouts? (Round, if necessary.) A. 6 minutes B. 29 minutes C. 39.33 minutes D. 37 minutes Reset

Answers

Answer:

1, 2, 3, 4, 5, 6, 29, 29, 32, 42, 29, 55

median = 29

Step-by-step explanation:

median is the middle number in a list of numbers from least to greatest.

distance between two points: what is the distance between 2, -3 and 8, -9?

Answers

Answer:

6sqrt(2) units

Step-by-step explanation:

Distance² = (-9 - -3)² + (8 - 2)²

Distance² = (-6)² + 6²

Distance² = 36 + 36

Distance² = 72

Distance = 6sqrt(2)

sqrt: square root

The distance between 2 and -3 is 5, and the distance between 8 and -9 is 17

Which table represents a linear function?

Answers

Answer:  C

Step-by-step explanation:

when x increases by 1 y increases by 2 and is consistent

hope this helps :3

If Nick used 56 feet of fence to enclose a square garden.How long,in feet was each side of Nicks garden?

Answers

Answer:

Each side is 14 ft.

Step-by-step explanation:

If there are 4 equal sides, you divide 56 by 4. That equals 14.

find the surface area of the prism

Answers

Answer: C

Step-by-step explanation:

Length: 6in

Width: 8in

Height: 9in

[tex]A=2(wl+hl+hw)\\A=2[(8in)(6in)+(9in)(6in)+(9in)(8in)]\\A=2(48in^2+54in^2+72in^2)\\A=2(174in^2)\\A=348in^2[/tex]

Expand. Your answer should be a polynomial in standard form. (x - 7)(x - 3)

Answers

Answer:

x^2-10x+21

Step-by-step explanation:

Answer:

The answer is x^2-10x21

Right triangle RST is shown below with the dimensions given in feet
(ft)
Which is closest to the measure of ZR?
Select one
15.1
15.7
74.3
74.9

Answers

Answer:

As the triangle is right angled ,

sinR = 17/63

Angle R = 15.7⁰

The closest value of the measure of ∠R is,

⇒ ∠R = 15.7°

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Right triangle RST is shown below with the dimensions given in feet.

Now, By trigonometric formula;

tan x = Opposite / Adjacent

Here, Opposite side of angle R = 17 ft

And, Adjacent side = 63 ft

Hence, We get;

tan x = Opposite / Adjacent

tan R = 17 / 63

tan R = 1/9

R = 15.7°

Thus, The closest value of the measure of ∠R is,

⇒ ∠R = 15.7°

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What is the area of triangle MOL? 200 square units 250 square units 300 square units 500 square units

Answers

Answer:

300 square units

Step-by-step explanation:

explanation-because i just know

Answer:

300

Step-by-step explanation:

300 is correct

Just got it correct on Edge IYI

Find the height of a rectangular prism if the surface are is 288 square centimetres and the base has a length of 4 centimetres and a width of 9 centimetres.

Answers

The rectangular prism below is made up of 6 rectangular faces, and the faces opposite to each other are have an equal area.
The area of one of the faces is lxh or lh, and the area of the face opposite to it is also equal, so the area of those two equal faces is 2lh.
The area of the base of the prism is lxw, and the area of its opposite face is equal, so the area of those two equal faces is 2lw.
The area of the face in the left side of the prism is wxh, and the area of the face opposite to it is also equal, so their combined area is 2wh.
So, to find the total surface area of a rectangular prism, we’d add the sum of all the rectangular faces, so the formula of finding the surface area of a rectangular prism=
2lh+2lw+2wh
=2(lh+lw+wh)
Given,
Surface area of the rectangular prism=288 cm^2
2(lh+lw+wh)=288
2[4h+(4x9)+9h)]=288
4h+(4x9)+9h=288/2
4h+(4x9)+9h=144
13h+36=144
13h=144-36
13h=108
h=108/13
h=8.308 cm
Hope this helps!

The height of a rectangular prism is 8.3 cm.

What is Surface Area?

The area is the space occupied by a two-dimensional flat surface. It is expressed in square units. The surface area of a three-dimensional object is the area occupied by its outer surface.

We have,

Surface Area = 288 square cm

Base length = 4 cm and width = 9 cm

So, SA of rectangular prism

288 = 2(lw+ wh + lh)

144 = (36 + 9h + 4h)

13h = 144- 36

13h = 108

h = 8.30 cm

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you score a 65% on your ap statistics exam and a 78% on your economics exam. the AP statistics scores were normally distributed with an average of 60% and a standard deviation of 6%. the economics scires were also normally distributed with an average of 75% and the standard deviation of 2.5%. In which class did you perform better relative to the class average? be sure to justify your answer​

Answers

Answer:

You performed better relative to the class average in your economics class.

Step-by-step explanation:

There are two classes.

AP statistics class and Economic class

Using the z score formula,

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

In the AP statistics class, you scored a percentage of 65%. The class average was 60%

x is the raw score = 65%

μ is the population mean = 60%

σ is the population standard deviation = 6%

z = (x-μ)/σ

z = (65 - 60)/6

z = 5/6

z = 0.8333333333

In the Economics classes, you scored a percentage of 78% with a class average of 75%

x is the raw score = 78%

μ is the population mean = 75%

σ is the population standard deviation = 2.5%

z = (x-μ)/σ

z = (78 - 75)/2.5

z = 3/2.5

z = 1.2

Comparing the z score of both exams taken from different classes,we can see that your z score was higher in the Economics class compared to the A.P statistics class.

Therefore, you performed better relative to the class average in your economics class.

What is ​0.83¯¯¯¯​ expressed as a fraction in simplest form?

Enter your answer in the box.

Answers

Answer: 5/6

Step-by-step explanation:

Answer:

the answer is

100÷83

Step-by-step explanation:

hope this helps

what is 5 + 5 /2 - 4 x 10

Answers

Step-by-step explanation:

use bodmas

start with multiplication

-4*10 = -40

5+5/2 - 40

addition next

5 + 5/2 = 7.5

7.5 - 40 = -32.5

can you please help me fill this out thanks

Answers

Answer: [tex]\sqrt{2}[/tex]

Step-by-step explanation:

In a 45 45 90 triangle the two sides are 1 wile the hypothenuse is [tex]\sqrt{2}[/tex]

What is the answer to this

Answers

Answer:

im pretty sure it's c

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

how to make a dot plot

Answers

Answer:

draw a a big L and put your numbers

Draw a line horizontally and make values and put dots


.
A person invests 10000 dollars in a bank. The bank pays 5.5% interest compounded
monthly. To the nearest tenth of a year, how long must the
person leave the
in the bank until it reaches 27400 dollars?
leave the money
r
A = P(1 + -)nt
n​

Answers

Answer:

The answer is 18.4 months.

Calvin builds a form for a new cement step. The form he builds is 35 1/2in. Long, 20 in. Deep, and 6 in. High. How much cementis needed to fll the form?

Answers

Answer:

231.78 lbs

Step-by-step explanation:

total amount of cementis needed= volume of form

volume of form in ft³= length × depth × height

                        = 35.5/12 × 20/12 × 6/12

                           = 2.465ft³

density of cement= 94.01651 lb/ft³

mass of cement= density × volume

                          = 2.465 × 94.01651

                         = 231.78lb

Timmy has 6 pennies. Sara steals 3 pennies from Timmy. How many pennies does Timmy have now ?

Answers

Answer:

Timmy has 3 pennies.

Step-by-step explanation:

If Timmy has 6 pennies at first, and Sarra takes away 3

then 6-3=3, so timmy has three left.

3 because she stole 3. 6-3=3

Find the perimeter of the following quadrilateral.
Write your answer as a mixed number in simplest form.
Be sure to include the correct unit in your answer.

Answers

Answer:

Plus all the fractions together .

Which equals to 35/4 cm

Step-by-step explanation:

hope it helps you !!

The perimeter of the quadrilateral is P = 8 3/4 cm

Given data:

The perimeter of a quadrilateral is the sum of the lengths of all its sides. A quadrilateral is a polygon with four sides. The formula for finding the perimeter of a quadrilateral depends on the specific type of quadrilateral.

So, the sides of the quadrilateral is represented as:

AB = 3 1/2 cm

BC = 2 cm

CD = 1 4/5 cm

DA = 1 9/20 cm

So, the perimeter is P = 3 1/2 cm + 2 cm + 1 4/5 cm + 1 9/20 cm

On simplifying ,

P = 3.5 cm + 2 cm + 1.8 cm + 1.45 cm

P = 8.75 cm

Hence , the perimeter is P = 8 4/3 cm

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PLEASE HELP ASAP A group of 8th and 9th graders were surveyed about whether they use social media to communicate with their friends. The results are shown below in the conditional relative frequency table by row. A 4-column table with 3 rows. The first column has no label with entries 8th grade, 9th grade, total. The second column is labeled do not use with entries 0.06, 0.19, 0.38. The third column is labeled use with entries 0.84, 0.81, 0.62. The fourth column is labeled total with entries 1.00, 1.00, 1.00. Which conclusions can be drawn from the results of the survey? Check all that apply. There is no association between using social media and grade level. The probability a student uses social media, given that he or she is in 9th grade, is 81%. A student who is more likely to not use social media is in 8th grade. An 8th grader is more likely to use social media than not. Knowing a student’s grade level does not help determine if he or she uses social media.

Answers

Options A, B, D, and E are correct answers such that the probability of the usage of social media by 8th and 9th-grade students is given.

A. There is no association between using social media and grade level.

B. The probability a student uses social media, given that he or she is in 9th grade, is 81%.

D. An 8th grader is more likely to use social media than not.

E. Knowing a student’s grade level does not help determine if he or she uses social media.

What is Probability?

Probability is the ratio of the favorable outcomes to the total outcomes.

Given that, a group of 8th and 9th graders were surveyed about whether they use social media to communicate with their friends.

We can see that, there is no relationship between the usage of social media and grade level so, we can say that there is no association between using social media and grade level.

Probability of using social media by a 9th grader is-

P(9) = 0.81 / 1 x 100 = 81%

Probability of using social media by a 8th grader is-

P(8) = 0.84 / 1 x 100 = 84%

We cannot define the usage of social media depending on the grade level.

Thus, Options A, B, D, and E are correct answers.

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The table is attached

The function f(x) = (x - 4)(x-2) is shown.
What is the range of the function?
1:01
all real numbers less than or equal to 3
all real numbers less than or equal to - 1
all real numbers greater than or equal to 3
all real numbers greater than or equal to -1
6+
4
2
10.-
-6
-4
8
10
X
-2
-2
-4
-6
-10
Save and Exit
Next
Submit
Mark this and return

Answers

Answer:

the range for f(x) = (x-4) (x-2) is [-1,∞)

Step-by-step explanation:

all real numbers greater than or equal to -1

The range of the function is all real numbers greater than or equal to -1

What are domain and range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function be represented as A

Now , the value of A is

f ( x ) = ( x - 4 ) ( x - 2 )   be equation (1)

On simplifying , we get

f ( x ) = x ( x - 2 ) - 4 ( x - 2 )

f ( x ) = x² - 2x - 4x + 8

f ( x ) = x² - 6x + 8  

Now , the range of the function is set of possible y values

The vertex of the parabola is at ( 3 , -1 )

So , the range of the function is f ( x ) ≥ -1 and the interval is [ -1 , ∝ ]

Hence , the range of the function is f ( x ) ≥ -1

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f(x) = (x-6)(x + 5)
What are the zeros of the quadratic?

Answers

Answer:

x=6      x=-5

Step-by-step explanation:

f(x) = (x-6)(x + 5)

To find the zeros, set the function equal  to zero

0 =  (x-6)(x + 5)

Using the zero product of property

0 = x-6    0=x+5

x=6      x=-5

The numbers $1,$ $2,$ $\dots,$ $10$ are to be entered into the 10 boxes shown below, so that each number is used exactly once: \[P = (\square + \square + \square + \square + \square)(\square + \square + \square + \square + \square).\]What is the maximum value of $P$? What is the minimum value of $P$?

Answers

Hint

If we define x to be the value of one of the factors, since 1 + 2 + 3 + 4 + 5 ... + 10 = 11(5) = 55, the value of the other factor has to be 55-x.

To maximize P, you'd like to make x as close as possible to the vertex you found. What if you want to minimize P? Remember x must be an integer.

I hope this helps :)

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If you wont tell us, the bet is off, thats all...."Question 1Part AWhat can readers predict, based on the details in the excerpt, and what has happened so far in the story?The salesman is angry because he knows Holmes will find out he is covering up a crime.The person asking the salesman questions is the person who stole the blue carbuncle.The salesman will lose the bet and be forced to give Holmes the information he wants.Holmes will trick the salesman into admitting he knows what happened to the stolen gem.Question 2Part BWhich detail from the text best supports the answer to Part A?Upset? Youd be upset, too, if you were as pestered as I am. But all day long, its been Where are the geese? and Who did you sell the geese to? and What will you take for the geese? Well, I dont know who else has been asking, said Holmes casually. If you wont tell us, the bet is off, thats all. Which statement best sums up the attitude of the Beat Generation? The figure below is an isosceles triangle. What is the perimeter of the triangle in terms of aand c? Zech deposited $5,600 in an account, which compounded 1.9 percent quarterly, and left it there for 10 years. What was the amount in the account at the end of 10 years? Round to the nearest dollar. Yes or No answer only- Have you ever been faced with an ethical dilemma? The security plan of a bank should not include _____.firewalls to protect against personal data lossanti-virus softwarean electronic medical recordkeeping systeminformation assurance The graph of quadratic function k is shown on the grid.Which statements are best supported by the graph of k?1110I. The x-intercept is located at(-3,0).II. The coordinates of the y-intercept are(0,9).III. The axis of symmetry 15 X=-3.F I and II onlyG I and III onlyHII and III onlyJI, II, and III How did the stock market crash affect business? Why is division of labor encouraged by countriesA it lowers the employment rateB it leads to mechanizationC it decreases worker turnoverD it increases maximum output what can i multiple to get 44.89 What is the volume of a sphere with a diameter of 3.2 m, rounded to the nearest tenthof a cubic meter?