The midpoint of AD is C. The midpoint of AC is B. If A is at (-10,4) and D is at (2,12), find the coordinates of B. Group of answer choices (-5,5) (-4,8) (-2.5,9) (7,6)

Answers

Answer 1

Answer:

[tex]B(x,y) =(-7,6)[/tex]

Step-by-step explanation:

Given

[tex]A = (-10,4)[/tex]

[tex]D = (2,12)[/tex]

Required

Determine the coordinates of B

C is the midpoint of AD. So, we calculate the coordinates of C, first.

[tex]C(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Where:

[tex]A = (-10,4)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]D = (2,12)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]C(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

[tex]C(x,y) = (\frac{-10+2}{2},\frac{4+12}{2})[/tex]

[tex]C(x,y) = (\frac{-8}{2},\frac{16}{2})[/tex]

[tex]C(x,y) = (-4,8)[/tex]

So, the coordinates of C is (-4,8)

The midpoint of AC is B.

So, we calculate the coordinates of B using:

[tex]B(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Where:

[tex]A = (-10,4)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]C(x,y) = (-4,8)[/tex] --- [tex](x_2,y_2)[/tex]

So, we have:

[tex]B(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

[tex]B(x,y) =(\frac{-10-4}{2},\frac{4+8}{2})[/tex]

[tex]B(x,y) =(\frac{-14}{2},\frac{12}{2})[/tex]

[tex]B(x,y) =(-7,6)[/tex]

Hence, the coordinates of B is (-7,6)

None of the options is correct.


Related Questions

Can you help me thank you

Answers

I thinks it’s B I think I’m wrong

Answer:

What you have is correct :)

Step-by-step explanation:

Silver scored 48 points in 4 basketball games. If Silver scored the same amount in each game how many points would he score in 10 games?

Answers

Answer: 120

Step-by-step explanation: He scores 12 points each game. 12 x 10 = 120 Good luck! :D

120. 48/4 equals 12 points a game. Multiply by 10 (games) to get 120 points!

Which arithmetic sequence has a common difference of 5?

Answers

Answer:

5,10,15,20,25,30

Step-by-step explanation:

their common difference is 5

Simultaneous equations
2x+4y=1
3x+5y=7

Answers

Answer:

x = 11.5, y = -5.5.

As an ordered pair this is (11.5, -5.5).

Step-by-step explanation:

2x+4y=1               Multiply this by 3:

3x+5y=7               Multiply this by -2.

6x + 12y = 3

-6x - 10y = -14       Adding these 2 equations:

0 + 2y = -11.

y = -11/2

y = -5.5.

Now plug this into the first equation:

2x + 4(-5.5) = 1

2x = 1 + 22

x = 23/2

x = 11.5.

3x + 8= 3x+
What value could you write in after 3x that would make the equation
true for:
1. no values of x ?
2. all values of x ?
3. just one value of x?

Answers

Answer:

Step-by-step explanation:

Answer:

(see my explanation)

Step-by-step explanation:

Basically,

For no value it can be anyhting but 8.

For all values it HAS to be 8.

For just one anything that has "x" in it.

Example:

1. -9

2. +8

3. 7+x or 2x

NOTE: this varies depending on the varible after the x value. (It's not always 8)

☝Example:

5x+2 = 5x + _____

1. 3

2. +2

3. x

Help need answers quick (unprofessional behavior and wrong answers will get reported)

Answers

Answer:

step 2 is the answer. when you start the question it's already in pemdas order. 48÷6 equals 8 then multiply it by the other 8 then you can add that quotient to the 10 which is 74 then subtract it by 7 and you get 67. step 2 goes the wrong way and ads the 8 with the 10 before multiplying the 8 by the 8 making everything go in wrong turns.

What does A represent in "BA+AB+AB+CAA"

Answers

Answer:

that looks hard sorry i cant help you good luk .

Solve the equation. 4x-3=5x-7

Answers

Answer:

x=4

Step-by-step explanation:

4x-3=5x-7

-1x-3=-7 Subtract the 5x on both sides

-1x=-4 Add the -3 to the -7

x=4

Answer:

8q7s6271 be ta up dkdieow

The differnce between a number divide by 3 and 4 is 20

Answers

Answer:

(n/3)/4 =20

Step-by-step explanation:

i think this is what your looking for if not im sorry

have a blessed day :)

Define the opposite and the absolute value of -8.
O The opposite of -8 is -8. The absolute value of -8 is 8.
O The opposite of -8 is -8. The absolute value of -8 is -8.
O The opposite of -8 is 8. The absolute value of -8 is 8.
O The opposite of -8 is 8. The absolute value of -8 is -8.

Answers

Answer:

The opposite of -8 is 0 and the absolute value in 8

Step-by-step explanation:

Answer:

The opposite of -8 is 8. The absolute value of -8 is 8.

Step-by-step explanation:

la pirámide tiene una base cuadrada, por tanto, tiene 4 caras laterales triangulares. hallar el área y el volumen sabiendo que tiene de base 8cm y de altura 13 cm​

Answers

Answer:

i think i know th problem but i do not understand your language i sorry

Step-by-step explanation:

An equation is shown below:

5(2x - 8) + 15 = -15

Write the steps you will use to solve the equation and explain each step. i need the steps plzzzz

Answers

Step-by-step explanation:

10x-40+15=-15

10x=-15-15+40

10x=10

x=1

Answer is 1

Please help me , I will give u 10 point

Answers

Answer:

equation: (5x+1)+(5x+1)+(x+2)+(x+2) or 12x+6

Step-by-step explanation:

A cone has a volume 7065in and a height of 30 in what is the radius of the cone?use 3.14 for pi

Answers

Answer:

15 inches.

Step-by-step explanation:

V = 1/3 pi r^2 h

7065 = 1/3 * 3.14 * 30 * r^2

r^2  = 7065 / (1/3 * 3.14 * 30)

r^2 = 7065 / 31.4 = 225

r = sqrt 225 = 15.

What is it !, help !

Answers

Answer:

an isosceles triangle

Step-by-step explanation:

it has two equal sides so this is isosceles triangle

Expand and simplify (x + 4)(x-7)

Answers

Answer.

(x+4)×(x-7)

= x^2 - 7x + 4x - 28

= x^2 - 3x - 28

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evaluate the expression 82+(-17)-(-53)

Answers

Answer:

Step-by-step explanation:

82 - 17 + 53

= 188

Answer:

118

Step-by-step explanation:

The contestant at a game show had already
won a total of $2750 when the game show was
continued today. He earns an additional $250
for each question he answers correctly today.

Answers

Answer:

y=250x+2750

Step-by-step explanation:

Help me pls!!!
Can you factor: [tex]8x^{3} -1[/tex]

Answers

Answer:

(2x - 1) (4x^2 + 2x + 1)

Step-by-step explanation:

brainliest me pls

Answer:

[tex]\boxed{\bold{\left(2x-1\right)\left(4x^2+2x+1\right)}}[/tex]

Explanation:

Apply difference of cubes formula: [tex]\bold{x^3-y^3=\left(x-y\right)\left(x^2+xy+y^2\right)}[/tex]

[tex]\bold{\left(2x\right)^3-1^3=\left(2x-1\right)\left(2^2x^2+2x+1\right)}[/tex]

= [tex]\bold{\left(2x-1\right)\left(2^2x^2+2x+1\right)}[/tex]

2² = 4

[tex]\boxed{\bold{\left(2x-1\right)\left(4x^2+2x+1\right)}}[/tex]

- zyxx

find the volume and the total surface area of a cuboide whose dimension 2m, 80cm and 60cm​

Answers

Answer:

Volume= 0.96m^3

TSA= 6.56m^2

Step-by-step explanation:

Given data

Length = 2m

Width= 80cm= 0.8m

Height= 60cm= 0.6m

Volume= L*W*H

Volume= 2*0.8*0.6

Volume= 0.96m^3

TSA=2lw+2lh+2hw

TSA= 2*2*0.8+2*2*0.6+2*0.6*0.8

TSA=  3.2+ 2.4+ 0.96

TSA= 6.56m^2

A satellite orbits in an elliptical path such that the Earth's center is one of the foci of the ellipse. The distance from the center of the orbit to the Earth's center is 4,100 miles. The foci are halfway between the center and the major axis vertices. Which equation can be used to model the path of this satellite's orbit?

Answers

Answer:

[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]

Step-by-step explanation:

The equation of the ellipse with centre at origin and major axis along the x-axis is:

[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]

Where 2a is the length of the major axis and 2b is the length of the minor axis. The following equation shows the relationship between the foci (c), major axis and minor axis:

a² = c² + b²

Since the earth center is one of the foci of the ellipse with distance from the center of the orbit to the Earth's center is 4,100 miles. Therefore the foci is at (4100, 0).

Hence c = 4100

Also, The foci are halfway between the center and the major axis vertices. Therefore the distance between the center and the major axis vertices (a) is twice the distance from the center of the orbit to the Earth's center.

a = 2c = 2(4100) = 8200 miles

We can get the distance from the center to the minor axis vertices (b), using:

a² = c² + b²

8200² = 4100² + b²

b² = 8200² - 4100²

b² = 50430000

b=√50430000

b = 7101.4 miles

The ellipse equation is:

[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]

Answer:

[tex]\frac{x^{2} }{67,240,000}+\frac{y^{2} }{50,430,000} =1[/tex]

Step-by-step explanation:

what is the slope of a line that has a y-intercept but no x-intercept

Answers

Answer:

A line that crosses the y-axis but not the x must be horizontal. Therefore, it has no slope.

mmmmmm u should help -9/14+ 2/7

Answers

Answer:

0.9285714285714 is the answer.....

Hello please help me ASAP???

Answers

Answer:

b

Step-by-step explanation:

5 divided by 100 equal 0.005

what is the image of (8,7) after a reflection over the line y=-x?

Answers

Answer:

(-7,-8)

Step-by-step explanation:

The original point is (8,7)

To reflect it, just switch their places and change their signs.

So, (-7,-8)

the 100th term of the sequence with the term -1-4n

Answers

Given:

The terms of a sequence are given by

[tex]a_n=-1-4n[/tex]

To find:

The 100th term of the sequence.

Solution:

We have,

[tex]a_n=-1-4n[/tex]

Putting n=100, we get

[tex]a_{100}=-1-4(100)[/tex]

[tex]a_{100}=-1-400[/tex]

[tex]a_{100}=-401[/tex]

Therefore, the 100th term of the given sequence is -401.

Evaluate 2x when X4

what’s the answer for this?

Answers

If x is equal to 4 then you have to substitute the x in the 2x.

So it would look like this:

2(4)

Multiply them 2x4 which would give you 8. So the answer is 8.
8. Sub the 4 for the x. The solve!

.Mariam went to the store to buy some apples. The price per pound of the apples is $6 per pound and she has a coupon for $2.25 off the final amount. With the coupon, how much would Mariam have to pay to buy 3 pounds of apples? Also, write an expression for the cost to buy p pounds of apples, assuming at least one pound is purchased.

Answers

Answer:

$15.75

$6p-$2.25

In the diagram below, what is the approximate length of the minor arc ?
A. 36 cm
O
B. 72 cm
23 cm
120*
ОО
C. 48 cm
D. 24 cm

Answers

Answer:

The approximate length of the minor arc would be 48 cm.

Answer:

C

Step-by-step explanation:

Write the following equation in Slope-Intercept Form (y=mx+b).

(1 , 2) m = 7

Answers

Answer:

y - 2 = 7 (x - 1)

Step-by-step explanation:

make sure you always watch for double negatives

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