Given the midpoint (5,8) and that one of the endpoints is (-2. 6), find the other endpoint
of the segment.

Answers

Answer 1

Answer:

(12, 10 )

Step-by-step explanation:

Given the endpoints of a segment (x₁, y₁ ) and (x₂, y₂ ) then midpoint is

[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]

let (x, y) be the coordinates of the other endpoint then use the midpoint formula and equate to the coordinates of the midpoint.

(x₁, y₁ ) = (- 2,  6) and (x₂, y₂ ) = (x, y), then

[tex]\frac{1}{2}[/tex](- 2 + x) = 5 ( multiply both sides by 2 )

- 2 + x = 10 ( add 2 to both sides )

x = 12

[tex]\frac{1}{2}[/tex](6 + y) = 8 ( multiply both sides by 2 )

6 + y = 16 ( subtract 6 from both sides )

y = 10

Thus

The other endpoint is (12, 10 )

Answer 2

Answer:

(12, 10 )

Step-by-step explanation:

Given the endpoints of a segment (x₁, y₁ ) and (x₂, y₂ ) then midpoint is

[ (x₁ + x₂ ), (y₁ + y₂ ) ]

let (x, y) be the coordinates of the other endpoint then use the midpoint formula and equate to the coordinates of the midpoint.

(x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (x, y), then

(- 2 + x) = 5 ( multiply both sides by 2 )

- 2 + x = 10 ( add 2 to both sides )

x = 12

(6 + y) = 8 ( multiply both sides by 2 )

6 + y = 16 ( subtract 6 from both sides )

y = 10

Thus

The other endpoint is (12 ,10)


Related Questions

The algebraic expression for​ "the quotient of 73 and​ x" is

Answers

Answer

it could be 73/x

Step-by-step explanation:

A business school event invites all of its graduate and undergraduate students to attend. Of the students who attend, male graduate students outnumber male undergraduates by a ratio of 7 to 2, and females constitute 70% of the group. If undergraduate students make up 1/6 of the group, which of the following CANNOT represent the number of female graduate students at the event?

a. 18
b. 27
c. 36
d. 72
e. 180

Answers

B)27
To solve this problem using a double set matrix, first jot down one set of variables as the row headings and The other as column headings, as well as a row and column for “totals”. Now all you need to do is add in the information line by line as you read through the question.

The temperature at 9:00pm one evening was 40 Fahrenheit. Over the next 4 hours the temperature dropped at n average rate of 3 per hour. What was the temperature at 1:00am?

Answers

Answer:

28 degrees Fahrenheit

Step-by-step explanation:

If the temperature at 9:00pm one evening was 40 Fahrenheit. And for the next 3 hour it dropped 3 degrees per hour then it would be

40 - 4 times 3 =

40 - ( 4 times 3 ) =

40 - 12 = 28 degrees Fahrenheit

Cool Down: Almond Bags Bags of almonds from a food producer are advertised to weigh 500 grams each. Twenty bags of almonds are weighed. The scatter plot shows the absolute error between the actual weight and the advertised weight of those bags. Estimate the largest absolute error.

Answers

Answer:

12 grams

Step-by-step explanation:

Absolute error is the difference between the measured value and the actual value.

We can see on the plot that absolute error is spread between zero and 12 grams.

The largest absolute error is approximately 12 grams as per plot on the top right. It gives the bag weight of 512 grams vs advertised 500 grams.

Answer:

It’s 11

Step-by-step explanation:

Which are the most important task for project planning?​

Answers

NB: Please give brainliest to those who ask it.

Answer:

1. Adjusting the budget and communicating with the team assessing the final project.

2. Finishing up old projects.

3. Creating a time line and making the budget updating the schedule.

4. Prioritizing tasks and distributing resources.

5. Scheduling meetings and updating spreadsheets assigning resources to tasks.

Hope it helps!!Please mark me as the brainliest!!!

Thanks!!!!

i need it in 4min or less Which of the following could be true if one decreases their long term liability and increases their liquid assets? a. Paid off credit card balance and added money to savings. b. Paid off medical bills and invested money. c. Paid down mortgage and received a cash prize. d. Paid taxes owed and bought a car.Which of the following could be true if one decreases their long term liability and increases their liquid assets? a. Paid off credit card balance and added money to savings. b. Paid off medical bills and invested money. c. Paid down mortgage and received a cash prize. d. Paid taxes owed and bought a car.

Answers

Answer:

C. Paid down mortgage and received a cash prize.

Answer:

c

Step-by-step explanation:

1. Which of the following is a rational number? (4 points)
V15, 116, 121, V22
O V15
O V16
O V21
O √22
Please I need help!

Answers

V16 is a rational number

Which of the following is the graph of the quadratic function y=x^2+10x+16?

Answers

Answer:

Vertex: ( − 5 , − 9 ) Focus: ( − 5 , − 35 4 ) Axis of Symmetry: x = − 5 Directrix: y = − 37 4 Select a few x values, and plug them into the equation to find the corresponding y values. The x values should be selected around the vertex. Tap for more steps... x y − 7 − 5 − 6 − 8 − 5 − 9 − 4 − 8 − 3 − 5 Graph the parabola using its properties and the selected points. Direction: Opens Up Vertex: ( − 5 , − 9 ) Focus: ( − 5 , − 35 4 ) Axis of Symmetry: x = − 5 Directrix: y = − 37 4 x y − 7 − 5 − 6 − 8 − 5 − 9 − 4 − 8 − 3 − 5

Hoped I helped

Answer:

It's the one that's on the left of the y axis. I took the test.

The cost C of mailing a letter first class in the United States is $0,45 for the first ounce.
Each added ounce, or fraction of an ounce, o, costs an additional $0.20.
1. Write an equation to represent the total cost, C, to mail a first class letter that
weighs n ounces.
C=

Answers

Answer: C= 0.25 + 0.20n

Step-by-step explanation:

Let n be the number of ounces of the letters.

As per given,

Cost per ounce = $0.45

Additional cost per ounce = $0.20

So, the equation to represent the total cost, C, to mail a first class letter that  weighs n ounces will be

C= 0.45 + (n-1)(0.20)

⇒ C= 0.45 + 0.20n-0.20

⇒ C= 0.25 + 0.20n

Hence, the required equation is  C= 0.25 + 0.20n .

simplify ( root 3 + root 7) over 2​

Answers

Answer:

5 r o 2 t

Step-by-step explanation:

(√3+√7)²

We know ,[(a+b)²=a²+2ab+b²]

=>(√3+√7)²=(√3)²+2(√3)(√7)+(√7)²

=>(√3+√7)²=3+2√21+7

=>(√3+√7)²=10+2√21

ILL MARK YOU BRAINLIEST!!!!!! ∠A = 5x - 15.∠B = 2x + 21.Solve for x and then find the measure of ∠B.

Answers

Answer:

x=6 b=45

Step-by-step explanation:

45=5x-15. 45-15=30. 5x=30. x=6. b=45

NEED HELP ASAP ALGEBRA 2​

Answers

Answer:

a=9

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 = c^2

a^2 +40 ^2 = 41^2

a^2 + 1600 = 1681

a^2 = 1681-1600

a^2 = 81

Take the square root of each side

sqrt(a^2) = sqrt(81)

a = 9

Answer:

9.

Step-by-step explanation:

Pythagoras Theorem is used in this case:

a² + b² = c²

a² + 40² = 41²

a² + 1600 = 1681

a² = 1681 - 1600

a² = √81

a = 9

9 is the third answer.

If the angles of a triangle are (2y - 5)degrees, (y + 20)degrees, and (3y-5) degrees what are the values of the angles​

Answers

Answer:

[tex] \boxed{ \boxed{ \bold{ \sf{51.68 \: , \: 48.34 \:, \: 80.02}}}}[/tex]

Step-by-step explanation:

Let's solve:

As we know that the sum of angles of traingle adds to 180°

[tex] \sf{2y - 5 + y + 20 + 3y - 5 = 180}[/tex]

Collect like terms

⇒[tex] \sf{6y - 5 + 20 - 5 = 180}[/tex]

⇒[tex] \sf{6y + 15 - 5 = 180}[/tex]

⇒[tex] \sf{6y + 10 = 180}[/tex]

Move constant to right hand side and change it's sign

⇒[tex] \sf{6y = 180 - 10}[/tex]

Calculate the difference

⇒[tex] \sf{6y = 170}[/tex]

Divide both sides of the equation by 6

⇒[tex] \sf{ \frac{6y}{6} = \frac{170}{6} }[/tex]

Calculate

⇒[tex] \sf{y = 28.34}[/tex]

Now, let's replace the value:

⇒[tex] \sf{2y - 5 = 2 \times 28.34 - 5 = 51.68}[/tex]

⇒[tex] \sf{y + 20 = 28.34 + 20 = 48.34}[/tex]

⇒[tex] \sf{3y - 5 = 3 \times 28.34 - 5 = 80.02}[/tex]

Hope I helped!

Best regards!!

Answer:

51 2/3 , 48 1/3 and 80 degrees.

Step-by-step explanation:

The 3 angles add up to 180 degrees.

2y - 5 + y + 20 + 3y - 5 = 180

6y + 10 = 180

6y = 180 - 10

6y = 170

y = 170 / 6 = 28 1/3 degrees.

So the 3 angles are  2(28 1/3) - 5,   28 1/3 + 20 and 3(28 1/3) - 5.

during a basketball game, your team scored three times as many 2-point field goals than it did 3-point field goals, and scored a total of 90 points. How many field goals did your team score?

Answers

Answer:

40 field goals

Step-by-step explanation:

Represent 2-point with x and 3-point with y;

Given

[tex]x = 3y[/tex]

[tex]2x + 3y =90[/tex]

Required

Determine x and y

[tex]x = 3y[/tex]

[tex]2x + 3y =90[/tex]

Substitute 3y for x in [tex]2x + 3y =90[/tex]

[tex]2(3y) + 3y = 90[/tex]

[tex]6y + 3y = 90[/tex]

[tex]9y = 90[/tex]

Divide both sides by 9

[tex]y = 10[/tex]

Substitute 10 for y in [tex]x = 3y[/tex]

[tex]x = 3 * 10[/tex]

[tex]x =30[/tex]

The number of field goals = x + y

[tex]x + y = 30 + 10[/tex]

[tex]x + y = 40[/tex]

Hence, the number of field goals is 40

The cube of a positive number divided by the square of the same positive number is a. 2 b. 4 c. 6 or d. 8

Answers

Answer:

this question makes zero sense please rephrase it

Step-by-step explanation:

If a number line shows tick marks that are not labeled, can you determine the coordinate of a point located at an unlabeled tick mark?

Answers

If other tickmarks are labeled, then you could do some detective work (of sorts) to figure out the unlabeled tickmarks.

For example, let's say we had a number line with 1,2,3,... and let's say that 7 was covered up or erased or smudged. So we have 1,2,3,4,5,6,__,8,9. We could then easily determine that 7 must go in that blank spot. This is just one example of course.

Another example could be that if we had a tickmark right in the middle of two whole numbers, say 0 and 1. This unlabeled tickmark would most likely be 1/2 = 0.5 as its at the halfway point between 0 and 1.

Identify the domain of the function. A) (−2, 4) B) (−3, 3) C) [−2, 4] D) [−3, 3]

Answers

Answer:

(-2,4)

Step-by-step explanation:

The domain is the values for the input

X goes from -2 to 4  not including the endpoints

(-2,4)

which is a defind term a angle b line c point d plane​

Answers

Answer:

a angle

Step-by-step explanation:

Point, line, and plane are undefined terms.

Angle is a defined term.

Given: The ratio of the number of boys to the number of girls at Liam's school is 4:5. There are 270 students at his school. Statement 3: There are exactly 30 more girls than boys. True False Explain your thinking.

Answers

Answer: True

Step-by-step explanation:

Given: The ratio of the number of boys to the number of girls at Liam's school is 4:5.

There are 270 students at his school.

Then, Total boys = [tex]\dfrac{4}{4+5}\times270=\dfrac{4}{9}\times270=120[/tex]

Total girls =[tex]\dfrac{5}{4+5}\times270=\dfrac{5}{9}\times270=150[/tex]

Clearly, (Number of girls) > (Number of boys)

Difference =  (Total girls) - (Total boys)

= 150-120

= 30

So,  Statement 3: "There are exactly 30 more girls than boys". is absolutely true.

Which fraction has a terminating decimal as it’s decimal expansion? A.1/3 B.1/5 C.1/7 D.1/9

Answers

Answer:

B

Step-by-step explanation:

Let's turn these fractions into decimals.

A: 1/3 = 0.333333......

B: 1/5 = 0.2

C: 1/7 = 0.142857143142....

D: 1/9 = 0.1111111.....

As you can see, the only decimal expansion that terminates, or has a finite number of digits after the decimal point, is 1/5.

Find the exact circumference of a circle with a diameter of 5 inches

Answers

Answer: circumference of circle=2πr or πd(since d=2r)

2ײ²/7×⁵/2

Two cancels two

22×5/7

=110/7

=15•71

A set of points forming a closed figure, every point of which is a fixed distance from a given center best defines which shape? * Rectangle Square Rhombus Circle

Answers

Answer: D. Circle

Every point on the circle is the same distance away from the center. The distance from any point to the center is exactly the radius, and twice that is the diameter.

Define the terms factor and quantity. Then for the expression −3(4+x)(z−2−y), list all of the factors, and specify which are quantities.

Answers

Answer:

A factor are numbers or variables that can be being multiplied to each other to get another number. A factor is a quantity which is used to multiply or divide another quantity to indicate a measurement difference

A quantity is the total number or amount and it is the subject in a given mathematical operation

In the expression, -3×(4 + x)×(z - 2 - y), the factors are;

-3, (4 + x), and (z - 2 - y)

The quantities are the values that are subject to the mathematical operations including;

3, 4, x, z, 2, and y

Step-by-step explanation:

rate of change x=3 x=5

Answers

Answer:

The average rate of change for g(x) is      { g(x+h)-g(x) }/h

In our case,

                             { log(5+1) - log(3+1) }/(5-3) =    (.778-.602)/2 = .088

Compare it to the derivative of log(x+1) for the values: the derivative is D = (1/ln10)(1/(x+1))

at x = 3      D = .1086

at x = 4      D =  .0869

at x = 5      D = .0724

Take the average of D over the interval and you get .0893  and very close to the midpoint of the x values

Step-by-step explanation:

simplify (5m-2n)². please help me with this.​

Answers

Answer:

25 m^2 -20mn +4n^2

Step-by-step explanation:

(5m-2n)²

(5m-2n)(5m-2n)

FOIL

first 5m*5m = 25m^2

outer 5m*-2n = -10mn

inner -2n * 5m = -10mn

last -2n * -2n = 4n^2

Add together

25m^2 -10mn -10mn + 4n^2

25 m^2 -20mn +4n^2

Solve k(m) – p when k= -5, m = 8, and p = -12 a. -28 b. -62 c. 28 d. 64

Answers

Answer:

-28 is the answer.

Step-by-step explanation:

=k(m) – p

substituting the values k = -5, m = 8 and p = -12

=-5×(8) – (-12)

=-40+12

=-28 is the answer.

hope it will help :)

Answer:

A. -28

Step-by-step explanation:

1. K= -5, M= 8, -5x8 gives you -40

2. p = -12, subtract, -40 - -12 = -28.

Is there any theorem or postulate that could prove that CB and EF are congruent? it could be multiple steps but i have no idea. ill give brainliest if its right :)

Answers

Answer:

AAS (angle, angle, side)

Step-by-step explanation:

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent. The Angle Side Angle Postulate (ASA) says triangles are congruent if any two angles and their included side are equal in the triangles. An included side is the side between two angles. hope this helps you :)

Daniel glues two pieces of wood together as part of a model. One piece is 1/2 inch long, and the other is 3/4 inch long. What is the total length of the wood when glued together?
5 points

Answers

Answer:

5/4

Step-by-step explanation:

Total length = Sum of the length of the two pieces of wood :

[tex] \frac{1}{2} + \frac{3}{4} \\ lcm = 4 \\ [/tex]

Adjust values according to the lcm

[tex]4 \div 2 \times 1 = 2 \\ 4 \div 4 \times 3 = 3 \\ = \frac{3 + 2}{4} \\ = \frac{5}{4} [/tex]

Answer:

(I think it MIGHT be) 5/4

Step-by-step explanation:

The girl that answered me up above is right

Bruce wants to find the perimeter of a rectangular plot of land. The length is (6x-29) km. The width measures (5x-17) km. What is the perimeter of the plot of land

Answers

Answer: Perimeter = 22x - 92

Units for the perimeter are in kilometers

==============================================

Work Shown:

L = length = 6x-29

W = width = 5x-17

P = perimeter of rectangle

P = 2*(L + W)

P = 2*(6x-29 + 5x-17)

P = 2*(11x - 46)

P = 2*11x + 2*(-46)

P = 22x - 92

If we knew the value of x, then we could find the actual numeric value for the perimeter. However, we don't have that info, so we leave it as is.

mark the wheat and rice product in areas in the map of India
PLS MAKE AND SHOW ON THE MAP
I will definitely mark you brainliest​

Answers

this will be helpful and don't forget to mark me

I found this on B i n g because I don't have a map of India.

Rice is mainly grown and eaten in South and East India, while wheat is predominantly grown and eaten in North and West India.

(The first picture is top ten).

(The second one is all).

♡ Anyways I hope this helped! ♡

❀ Have an amazing day or night! ❀

Brainiest is appreciated! ♡

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