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

The sum of 6 consecutive integers is 597
What is the 3rd number in this sequence?

Answers

First represent your 6 consecutive integers as follows.

X ⇒ first integer

X + 1 ⇒ second integer

X + 2 ⇒ third integer

X + 3 ⇒ fourth integer

X + 4 ⇒ fifth integer

X + 5 ⇒ sixth integer

Since their sum is 597, our equation reads

x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) = 597.

Simplifying on the left we get 6x + 15 = 597.

Now subtract 15 from both sides to get 6x = 582.

Now dividing both sides by 6, we find that x = 97.

So our first integer, x, is 97.

Our third integer would be x + 2 or 97 + 2 which is 99.

Need help ASAP. WILL MARK BRAINLIEST.

Answers

Answer:

5pi

Step-by-step explanation:

Simplify:
2(xy - 7) = [?]
x = -1 and y = 3

Answers

Answer:2(xy-7)= -20

Step-by-step explanation:

Plug in -1 for x and 3 for 3, as the question says that x and y represent those values.

2(xy-7) = ?

2((-1)(3) - 7) = ?

2(-3-7)=?

2(-10)

-20

2(xy - 7) = -20

The expresssion 2(xy - 7) = -20 , when x = -1 & y = 3

What is expression ?

In mathematics, if two or more numbers or variables present with one or more mathematical operations, then the statement is called expression.

Example : 4x-3y+4, where x,y are variables, 3 & 4 are numbers and they are operated with addition and subtraction, so this is an expression.

What is the value of given expression ?

Here, in the problem, x = -1 & y = 3

The given expression is 2(xy - 7) .....(1)

Now, we have to put the values of x & y in (1),

So, 2(xy - 7)

  = 2{(-1)(3)-7}

  = 2{-3-7}

  = 2×(-10)

  = -20

So, the value of the expression is -20

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One leg of a right triangle is 10 units, and its hypotenuse is 12 units. What is the length of the other leg?
A.
about 7 units
B.
about 15 units
C. about 25 units
D. about 122 units
E
about 224 units

Answers

Answer:

about 7 units

Step-by-step explanation:

10[tex]10^{2} + b^{2} = 12^{2} \\100+b^{2} = 144 \\144- 100= 44\\=\sqrt{44} \\= 6.6\\round \\=7[/tex]

Answer:

7 UNITS mwah <3<3<3<3<3<3<3

Which of the following are geometric series? 2 + 5 + 8 + 11 + 14 + 17 1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 –256 + 64 – 16 + 4 – 1

Answers

Answer:

-102

Step-by-step explanation:

Answer:

1 and 4

Step-by-step explanation:

How many solutions does this equation have?

8n = 10 + 10n

Answers

Answer:

1

Step-by-step explanation:

-10n+8n=10

-2n=10

n=-5

So, one solution

Which function has the same range as f(x)=-2√x-3+8?

Answers

Answer:

[tex]g(x)=-\sqrt{x+3}+8[/tex]

Step-by-step explanation:

got it right

g(x) = - √x + 3 +8 has the same range.

What is the range of a function simple?

The variety of a feature is described as a set of solutions to the equation for a given input. In different words, the range is the output or y fee of a characteristic. There is the most effective range for a given function.

What is range in a relation?

The set which contains all the first elements of all the ordered pairs of relation R is known as the domain of the relation.

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Find the smallest number to be Find the smallest number to be added to 2345 to get the nearest perfect square.

Answers

Answer:

48^2 =2304 < 2345 < 2401 = 49^2

=> Smallest number should be: 2401 - 2345 = 56

Hope this helps!

:)

Answer:

56

Step-by-step explanation:

sqrt(2345) = 48.425...

Nearest integer is 49

So, the nearest perfect is 49²

49² = 2401

To be added:

2401 - 2345

56

Determine the nth term formula for each of the following sequences and find the limit if it exists.

3, 3,-3, 3,

Answers

Answer:

aₙ = (-3) (-1)ⁿ⁻¹

limit does not exist

Step-by-step explanation:

-3, 3, -3, 3, ...

This is an alternating geometric series where the first term is -3 and the common ratio is -1.  The nth term is therefore:

aₙ = (-3) (-1)ⁿ⁻¹

Since the sequence alternates between -3 and 3, the limit as n approaches infinity of aₙ does not exist.

Please answer this question

2x^2 = 3x

Answers

Answer:

x = 1.5

Step-by-step explanation:

2x^2 = 3x

divide whole eqn by x

2x = 3

x= 3/2 =1.5

Answer:

x=2/3 or x=0

Step-by-step explanation:

1) Let's solve by factoring

since "x" is common in both 2x^2 and 3x let's take that out

first we have to bring "3x" to the left

so

2x^2-3x

next, factor of "x"

x(2x-3)=0

to solve, divide by x on both sides:

(2x-3)=0

add 3

2x=3

divide by 2

x=3/2

or x=0(since x(2x-3)=0, logically if x=0 then this equation would make sense)

Liz flips a coin 40 times. The coin lands heads up 28 times and tails up 12 times. Complete each
statement ​

Answers

Complete Question

Liz flips a coin 40 times. The coin lands heads up 28 times and tails up 12 times. Complete each  statement ​

(a)The theoretical probability of the coin landing heads up is___

(b)The experimental probability of the coin landing heads up is___

(c)The theoretical probability of the coin landing tails up is___

(b)The experimental probability of the coin landing tails up is___

(Type an integer or decimal)

Answer:

(a)0.5

(b)0.7

(c)0.5

(d)0.3

Step-by-step explanation:

When a coin is tossed, there are two outcomes: Heads or Tails

(a)Theoretical Probability of the Coin landing Heads up =1/2=0.5

(b)In the experiment, out of a total of 40 trials, the coin lands heads up 28 times.

Experimental Probability of the Coin landing Heads up =28/40=0.7

(c)Theoretical Probability of the Coin landing Tails up =1/2=0.5

(d)In the experiment, out of a total of 40 trials, the coin lands tails up 12 times.

Experimental Probability of the Coin landing Tails up =12/40=0.3

The function f(x) and g(x) are graphed below. If g(x)=f(x+k) what is the value of k?

Answers

Answer:

The value of k = -6

Step-by-step explanation:

First lets concentrate at the most obvious point, the top. Top(f) = ( 4, 1) and Top(g) = ( -2, 1).

The translation factor k ( which is called a vector ), which accounts for the trandlation of any point of f(x) --> g(x).

To translate the x coordinate of the top from 4 to -2, you have to subtract 6 of it.

Because 4 -6 = -2

Hence the factor k must be -6.

The value of k = -6

OVER HERE WALKER.
What is the perimeter of a rectangle measuring 10cm by 5cm ?

Answers

Answer:

30 cm.

Step-by-step explanation:

Answer:

30 cm

Step-by-step explanation:

Perimeter is the outside measurement/ outline, add 10+10+5+5 which is all the sides together and you get your answer for perimeter

what is the area of the circle when the radius is 5

Answers

Answer:

78.5

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

Where r is 5

A = pi 5^2

A = 25 pi

We can approximate pi by 3.14

A = 25*3.14

A =78.5

Answer:

78.5398163397

Step-by-step explanation:

pi times r squared

x-1/2*1/8=1/8 Find the value of x.

Answers

Answer:

x = 3 / 16

Step-by-step explanation:

Simplify first:

x - 1 / 16 = 1 / 8

x = 3 / 16

find the discriminant and the number of real roots for this equation.

x^2+2x+8=0

A. 32; two real roots
B. -28; one real root
C. 32; one real root
D. -28; no real roots

Answers

Answer:

D

Step-by-step explanation:

To find the discriminant you do b^2-4(a)(c), which in this case gives you -28. If your discriminant is less than zero, you will have no real roots.

Help it’s urgent because it’s due tonight

Answers

Answer:

<16 and <15 are supplementary

Step-by-step explanation:

Supplementary angles add to 180 degrees, which is a straight line

15 and 16 make a straight line

Please help me now plz I will mark you brainliest

Answers

Answer: C. Outside the circle.

Step-by-step explanation:

To find whether point M lies on the circle, first derive the equation of the circle from the radius and center given.

Equation of a circle:

[tex](x-h)^2 + (y-k)^2=r^2[/tex]

Substitute the coordinates (0, 0) for h and k, and 2 times the square root of 3 for r:

[tex]x^2 + y^2 = 12[/tex]

Now, substitute the points (-3, 2) for x and y:

[tex]9 + 4 = 12[/tex]

This equation is incorrect, as the (x, y) coordinates produce a greater value than the radius of the circle squared. When this occurs, the point given is outside of the circle.

(A point like (1, 1), when substituted into the equation and solved to get 1 + 1 = 12, would be inside the circle, as its (x, y) coordinates produce a smaller value than the radius of the circle squared.)

As such, the correct answer is C.

Find the standard form of the equation of the parabola with a focus at (0, 6) and a directrix at y = -6.


A) y equals 1 divided by 24 x squared

B) y2 = 6x

C) y2 = 24x

D) y equals 1 divided by 6 x squared

Answers

Answer:

None of the options represent the right answer. (Real answer: [tex]y = 24\cdot x^{2}[/tex])

Step-by-step explanation:

The parabola shown above is vertical and least distance between focus and directrix is equal to [tex]2\cdot p[/tex]. Then, the value of p is determined with the help of the Pythagorean Theorem:

[tex]2\cdot p = \sqrt{(0-0)^{2}+[6-(-6)]^{2}}[/tex]

[tex]2\cdot p = 12[/tex]

[tex]p = 6[/tex]

The general equation of a parabola centered at (h,k) is:

[tex]y-k = 4\cdot p \cdot (x-h)^{2}[/tex]

It is evident that parabola is centered at origin. Hence, the equation of the parabola in standard form is:

[tex]y = 24\cdot x^{2}[/tex]

None of the options represent the right answer.

Answer:

  y equals 1 divided by 24 x squared  

Step-by-step explanation:

Just took the test

Polygon LMNO is similar to polygon QRST and LM and QR are corresponding sides. You know the perimeter of each polygon, and you know the measure of MN. What can you find

Answers

Answer:

I can find that the measure of RS

Step-by-step explanation:

The measure of RS can be discovered as both have corresponding sides. Therefore, both are the same

Anwar selects a playing card at random from the following 666 cards:
\{{left brace 999 of hearts, 555 of spades, 666 of hearts, 222 of spades, 444 of hearts, 777 of hearts\}}right brace
Let AAA be the event that Anwar selects an even-numbered card and BBB be the event that she chooses a heart.
Which of the following statements are true?

Answers

Answer:

We have 6 cards.

9 of hearts

5 of spades

6 of hearts

2 of spades

4 of hearts

7 of hearts.

A is the event where Anwar selects an even numbered card.

B is the event where she choses a heart.

we have 3 even cards (and two of them are hearts)

we have 4 hearts (2 of them are even)

The probability of event A is Pa = 3/6 = 1/2

the probability of event B is = Pb = 4/6 = 2/3

The probability of event A and Event B is the number of heart cards with even numbers, that are 2 divided the total number of cards:

Paandb = 2/6 =  1/3

the probabilty of A if we know that B is true:

P(AIB) = 2/4 = 1/2 (this is because we have 4 hearts, and we know that 2 of those 4 cards are even)

the probability of B if we know that A is true:

P(BIA) = 2/3 (this is because we have 3 even cards, and 2 of them are hearts)

Answer:

A,B,C,E

Step-by-step explanation:

Khan.

TRUST ME!!!!!!!!!!!! THIS IS RIGHT!!!!!!!

Qasim and Alejandra both earn $15 an hour at their job. This week Alejandra worked three hours more than Qasim. If h represents the number of hours Qasim worked, and in total they earned $195, how many hours did each person work?

Answers

Answer:

Alejandra worked 8 hours and Qasim worked 5

Step-by-step explanation:

195/15 is 13. They worked 13 hours in total. 8 is 3 more than 5 and together they equal 13.

Solve x2 - 8x + 15 <0.

Recall that the quadratic factors as:

(x - 3)(x - 5) <0

Therefore, the intervals that must be tested are

x<3,3 5.

The solution set for the quadratic inequality is:

Answers

Answer:

x<3 and x<5

Step-by-step explanation:

Given the quadratic inequality x² - 8x + 15 <0, to get the solution set for the inequality, the following steps must be followed;

Step 1: Factorize the quadratic expression

x² - 8x + 15 <0

x² - 3x - 5x + 15 <0

x(x - 3) - 5(x - 3)  <0

(x -3)(x -5)< 0

x -3<0 and x -5<0

x< 3 and x< 5

Therefore, the solution set for the quadratic inequality are x<3 and x<5

Answer:

(3, 5)

Step-by-step explanation:

Correct on e2020

what is k if k-9/4 = 11

Answers

i don’t know. i need free points
K=11+9/4
K=44/4+9/4
K=53/4

Bobby is making a cake. The recipe calls for 1( 3)/(4) cups of flour for every( 1)/(8) cups of sugar. How many cups of flour is needed for 1 cup of sugar?
If you want I will give BRAINLIEST >_

Answers

Answer:

5 cups

Step-by-step explanation:

To get 1 cup of sugar, u must add 1/8 by 8. now you have one cup of sugar. But to find out how much flour u need, u also need to multiply 1 3/4 by 8, which gives u 5 cups

Answer:

14 cups of flour are needed for 1 cup of sugar.

Step-by-step explanation:

Use a ratio.

cups of flour : cups of sugar

               1 3/4 : 1/8

                     ? : 1

We know that you must multiply by 8 to get from 1/8 to 1. Now we have to do the same to the other side. So, multiply 1 3/4 by 8.

1 3/4 * 8 = 14

Therefore, 14 cups of flour are needed for 1 cup of sugar.

Tell me if this was helpful:)

I have provided 2 pictures. Please help.

Answers

Answer:

Feature 1- Statement A, Feature 2-Statement 2, Feature 3- Statement 1

3. If the legs of an isosceles right triangle are 10 inches long, approximate the length of
the hypotenuse to the nearest whole number​

Answers

Answer:

Using the Pythagorean theorem for isosceles right triangle, the length of  the hypotenuse is sqrt( 2 x 10^2) = ~14.1 in

Hope this helps!

:)

8. A teacher is cutting along the diagonal of a rectangular piece of construction
paper for a bulletin board which is 11 inches long and 8.5 inches wide. What
will be the length of the cut?

Answers

Answer:

The length of the diagonal is 13.90 inches

Step-by-step explanation:

This question can be remolded as calculating the length of the diagonal of a rectangle with dimensions 11 inches by 8.5 inches.

The diagonal refers to that length that runs from one inner edge of the rectangle to the other inner edge of the rectangle.

To calculate this length, we shall be making use of the Pythagoras’ theorem

Please check attachment for the kind of figure i’m trying to paint.

Let’s call the diagonal D

Using the Pythagoras’ theorem,

D^2 = 11^2 + 8.5^2

D^2 = 121 + 72.25

D^2 = 193.25

D = √193.25

D = 13.90 inches

True or False: "What is the height of the tallest person in my class" is a statistical question

Answers

The answer is true! I hope that helped

Answer:

it is true

Step-by-step explanation:

because a statistical question is a question that has more than one possible answer so it can have a variety of answers. in other words more than 1 answer.

hope this help :-)

Jacob took a total of 12 quizzes over the course of 3 weeks.

​How many weeks of school will Jacob have to attend this quarter before he will have taken a total of 16 quizzes?

Answers

Answer:

4 weeks

Step-by-step explanation:

The number of weeks for a total of 16 quizzes will be 4 weeks.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that Jacob took a total of 12 quizzes over the course of 3 weeks. The number of weeks for 16 quizzes will be calculated as below:-

12 quizzes = 3 weeks.

1 quizzes = 3 / 12 weeks

16 quizzes = ( 3 / 12 ) x 16 = 4 weeks

Therefore, the number of weeks for a total of 16 quizzes will be 4 weeks.

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How many moles of NaCl are contained in 100.0ml of a 0.20m solution The invasion of Iraq was very controversial. Many editors and columnists voiced strong opinions on the Iraq War. Use your knowledge of current events and the information in your textbook to write two short editorials. One should state why the United States should have invaded Iraq; the other editorial should state why the United States should not have invaded Iraq. Some points you may wish to consider: What was the stated purpose of the invasion? Why did the United States initiate a preemptive war? Has the United States engaged in preemptive wars in the past? Were there alternatives to invasion? Was it reasonable to assume that the U.S. military could defeat the Iraqi military? What strategy did the United States have for rebuilding the Iraqi government and economy after the fall of Saddam Hussein? What was the American public asked to do to support the war effort? What was the human cost of the war on Iraq and on the United States? What was the economic impact of the war on Iraq and on the United States? How did the invasion affect relations between the United States and its traditional allies? How did the invasion affect relations between the United States and other nations of the Middle East? What is the surface area of a cube in which each face of the cube has an area of 7 cm?? On the spinner, the probability of landing on black is 1/2 , and the probability of landing on red is 1/3. Create a probability distribution for the experiment of spinning the spinner. Which sentence is a complete sentence?OA. Mandy and I with the other kids in class.B. The class missed recess today.C. Never listens to the teacher.D. is always getting in trouble. 5.Gabby is fishing from a small boat. Her fishing hook is 36 feet below her, and a fish is swimming at the same depth as the hook, 77 feet away. How far away is Gabby from the fish? What function has zeros at x=10 and x=2 Sex chromosome abnormalities are more common than autosomal abnormalities because:A.the autosome is more stableB.the sex chromosome is more susceptible to mutationC.autosomal defects are lethal to the fetus Help me please due in due soon. Evaluate.4+ (3+5)*3 = Consider the oil-producing countries of A, B, and C. Each has a marginal cost of zero. World demand is given by Q = 1430 - P. Suppose the three countries form a cartel, and that none of them has an incentive to deviate from the cartel. By how many units lower is the total output of oil under the cartel relative to the Cournot solution? Provide a summary of biologist Stephen Stearns findings in how Natural Selection may be working today in humans. 32pts and BRAINLIEST FOR BST ANSWER!!Use sigma notation to represent the sum of the first seven terms of the following sequence: 4, 6, 8, the summation from n equals one to 7 of quantity negative 2 minus 2 times n the summation from n equals one to 7 of quantity negative 4 plus 2 times n the summation from n equals one to 7 of quantity negative 2 minus 4 times n the summation from n equals one to 7 of quantity negative 2 plus 2 times n PLZ HELP WILL GIVE BRAINLIESTAs the index of refraction of the second medium increases, what happens to the angle of refraction of the light as it passes through? Are the light rays bent more or less? What are the major physical characteristics of the Asian continent? Provide an example of each type of landform. What is the most likely reason that Kentucky was the first territory that had a population sufficient to apply for statehood? a. It had the best farmland. b. It was closest to the Appalachians. c. It was accessible since pre-Revolutionary times. d. There was less conflict with Native Americans there. What is the area of the triangle below? Choose the correct translation for the following sentence: Dicitur Remum a Romulo interfectum esse. It was said by Romulus that Remus had been killed. It was said that Remus had been killed by Romulus. It is said that Remus was killed by Romulus. Romulus says that he killed Remus. Please Answer ASAP!!! which two technologies use reflected sound waves