The endpoints of line segment CD are C(-2,0) and D(4,9). Find the midpoint of
line segment CD

Answers

Answer 1

Given:

The endpoints of line segment CD are C(-2,0) and D(4,9).

To find:

The midpoint of CD.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Using the midpoint formula, the midpoint of CD is

[tex]Midpoint=\left(\dfrac{-2+4}{2},\dfrac{0+9}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{2}{2},\dfrac{9}{2}\right)[/tex]

[tex]Midpoint=\left(1,4.5\right)[/tex]

Therefore, the midpoint of the line segment CD is (1,4.5).


Related Questions

what number is the opposite of 3 1/4?

Answers

Answer:

-3¼

Step-by-step explanation:

just minus and plus

hope it helps ☺️

2. Samuel used clay to make a diorama of the pyramids in Ancient Egypt. He made two triangular pyramids and three rectangular pyramids. How much clay did he use to create all the pyramids?

Answers

Answer:

[tex]124.16[/tex] cubic meter of clay will be used to create all the pyramids

Step-by-step explanation:

The remaining part of the question is given in the attached file

Solution

The total clay used is equal to the sum of volumes of two triangular and three rectangular pyramids.

For Rectangular Pyramid,

Volume of three rectangular pyramids

[tex]3 * \frac{BH}{3} = BH[/tex]

Substituting the given values in above equation, we get -

[tex]15.5 * 5 = 77.5[/tex] cubic centimeter

For triangular Pyramid,

Volume of two  triangular pyramids

[tex]2 * \frac{BH}{3}\\2 * \frac{10 * 7}{3}[/tex]

[tex]46.67[/tex]  cubic centimeter

Total clay used = Volume of 3 rectangular pyramid + volume of 2 triangular pyramid [tex]= 77.7 + 46.67 = 124.16[/tex] Cubic centimeter

what is the value of the missing angle??

Answers

Answer:

39°

Step-by-step explanation:

51° +? = 90°

? = 90° - 51°

? = 39°

Hope it helps you in your learning process.

Don has an album that holds 700 photos . Each page of the album holds 7. If 33% of the album is empty, how many pages are filled with photos?

Answers

67 pages in the album book are covered with photos

Really confused, can someone help me?

Answers

First Answer:

x = 12

First Step-by-step explanation:

12 + x = -3(4 - x)

12 + x = -12 + 3x

- x - x

—————————

12 = -12 + 2x

+ 12 + 12

—————————

24 = 2x

24/2 = 2x/2

12 = x

Second Answer:

No solution

Second Step-by-step explanation:

2(x - 1/2) = 8 + 2x

2x - 1 = 8 + 2x

+1 +1

—————————

2x = 9 + 2x

- 2x - 2x

—————————

0 = 9

^^ No solution

Maddox has $12.25 to spend on sports
drinks. Each drink costs $1.75. Use the
guess, check, and revise strategy to solve
the equation 1.75d = $12.25 to find d, the
number of drinks Maddox can buy.

Answers

your answer would be 7, maddox can buy 7 things

The sun of two numbers is 36. The larger number is 18 more than the smaller number. What are the numbers?

Answers

Answer:

Step-by-step explanation:

a+b=36

lets name the 2 numbers a,b

b=a+18

a+a+18=36

2a=36-18

2a=18

a=9

b=27

Answer:

the numbers are 9 and 27

Step-by-step explanation:

equation to the problem: x+y=36

one number (y) is 18 times greater than the other number (x): x+18=y

plug in the 2nd equation to the first equation (systems of equations):

x+(x+18)=36

solve the equation:

2x+18=36

*minus 18 on both sides*

2x=18

*divide the whole equation by 2 to get the value of just one x*

x=9

since variable x is the n smaller number, add 18 to 9 to get the 2nd number:

18+9= 27

y=27

ABCD is a parallelogram. solve for x
a) 21
b)20
c)10
d)5

Answers

Answer:

D)5

Step-by-step explanation:

We know that opposite sides of a parallelogram are both congruent and parallel. So, we use the equation 3x+5=6x-10

Simplifying this we get x=5

Answer:

X = 5

Step-by-step explanation:

[tex]6x - 10 = 3x + 5 \\ 3x = 15 \\ x = 5[/tex]

for A class trip, 144 students are put on 4 buses .At this rate how many students would be on 8 buses. Plz put work​

Answers

Answer: 288 students

Step-by-step explanation:

First Step: find the number of students per bus

Given

- 144 students

- 4 bus

Solve

144 students/4 buses=36 students/bus

Second Step: apply the rate to find the number of students in 8 buses

Given

- 8 buses

- 36 students/bus

Solve

8×36=288 students

Hope this helps!! :)

Please let me know if you have any questions

Francisco forgot to pay the $50 water bill. The company charges you a 14% fine. How much does Francis have to pay including the fine?

Answers

$57

.14 x 50 = 7 , + the 50

Freddy usa gráfica para resolver el sistema de ecuaciones piensa 2 líneas que son gráficas de ecuaciones se cruzan en el punto 1,5 esta coordenada está en la forma número de pasos diarios número de pases de temporada o (d,s)

Freddy quiere comprobar su respuesta sustituyendo el punto 1,5 en ambas ecuaciones

arrestre de los mosaicos a las ranuras apropiadas para verfificar si este punto es una solución de sistema de ecuaciones

el punto 1,5 una solución a la ecuación d+s = 6 el punto 1,5 una solución la ecuación 10d + 28s = 78
el punto 1,5una solución sistema de ecuaciones ​

Answers

Answer:

hzhjjssiaiihdhkyegkzjdhdmkdkdldldlzññzkjzjdjjdjkdkdjjjdjcjhjkRfhhdgdududidudgffhzfhffffxxhjfy

Simplify 32 ⋅ 35.

37
310
97
910

Answers

Answer:

D=9/10

Step-by-step explanation:

For this case we must simplify the following expression:

3/2 +3/5

To multiply the fractions we must multiply numerator with numerator and denominator with denominator, that is:

3+3/2+5=9/10

Hi. I hope this will help you for future references.

<3  

If you are not talking about exponents:

First, multiply the numbers.

35*32=1120

Your answer ---> 1120

160+960=1120

__________________________________________________________

If you ARE talking about exponents, then you should start like this:

3⋅3        

3⋅3⋅3⋅3⋅3

there are 7 3s, so your answer would be 3^7

Hope I helped you out a bit here and gave you a better view on both sides of this question

Asia Gil <3

Please Help Me With This I'll Give Brainliest.
Suppose the equation of the axis of symmetry for a quadratic function is x = -1

and one of the x-intercepts is 7.

What is the other x-intercept?

Answers

Answer: -9

Step-by-step explanation:

7 is 8 units away or to the left of -1

count 8 units to the left of -1 which is -9

There are 18 black socks and 12 navy socks in your drawer. The room is dark and you can't turn on the light. What is the least number of socks that you have to take you of the drawer to be certain that you have a pair of the same color? The solution is a number.

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

The largest number you can take without having a pair is the number of colors, 2. One more sock must match one already in hand.

You must take one more than the number of colors:

  2 + 1 = 3

You must take 3 socks to be certain of a pair the same color.

A ladder 17 m long reaches a window 8 m high on one side of the road. the ladder is then turned over to the opposite side of the road and is found to reach another window 15 m high. Find the width of the road.Please apply the pythgoras property .

Answers

Answer:

23 m

Step-by-step explanation:

It is assumed the width of the street is the distance between the opposite buildings.

See the picture attached

It comprises of two parts:

x and y

Using Pythagorean theorem, lets find the value of x:

x² + 15² = 17²x² = 289 - 225x² = 64x = 8 m

Same rule for y:

y² + 8² = 17²y² = 289 - 64y² = 225y = 15 m

The width of the street (road) is:

8 m + 15 m = 23 m

Daniel wants to order shirts on the internet. Shirts cost $20.00 and shipping on all orders is $10.99. Daniel has $50 to spend.

Answers

Answer:

Total cost: $30.99

Daniel will have $19.01 left to spend.

Answer:

Daniel can buy 1 shirt

Step-by-step explanation:

We can write an equation out of what they give us in the question.

Each shirt is $20, this can be represented as 20s.

All shipping on orders cost $10.99, this can be represented as 10.99s.

S represents how many shirts Daniel will buy.

The equation is written out like this:

[tex]20s + 10.99s \leq 50[/tex]

Combine like terms:

[tex]30.99s \leq 50\\[/tex]

Now solve

[tex]s \leq 1.6[/tex]

Therefore, if Daniel can only buy one shirt if he has only $50 to spend.

We can't have 2 shirts because that would exceed the $50 limit.

Hope this helps!!

- Kay :)

Write
3
2
3
as an improper fraction.

Answers

Step by step

Easy multiply 3 by 3 then add 2 that should be your top answer then keep your bottom 3 as your answer

Answer 11/3

Answer:

11/3

Step-by-step explanation:

3 times 3 equal 9 plus 2 equal 11

The data to represent average test scores for a class of 16 students includes an outlier value of 78. If the mean, including the outlier of 78, equals 84, which statement is always true about the new data when the outlier is removed?

The mean would increase.
The mean would decrease.
The median would increase.
The median would decrease.

Answers

Answer:

Given that The data to represent average test scores for a class of 16 students includes an outlier value of 78.

We can find sum of all 16 test scores = 84(16) = 1344

Outlier found = 78

If outlier is removed new sum = 1344-78 = 1266

Number of entries without outlier = 15

New average = 1266/12 =84.4

We find that average of new data increases.

Also whenever we remove outlier std deviation also would be reduced.

Step-by-step explanation:

Answer:

The mean would decrease.

Step-by-step explanation:

Without the outlier, the mean decreases. The median stays the same with or without the outlier.

what integer best represents a withdraw of $40. please hurry its due asap.
thanks so much​

Answers

Answer:

-40 your welcome

Step-by-step explanation:

The perimeter of the figure is 17 centimeters. Find the missing side length.

Answers

Answer:

7

Step-by-step explanation:

3+3+4=10

17-10=7

you're welcome

I just asked a bouch of math questions
Go to my proflie and answer them
Im begging you

Answers

Answer:

ok

Step-by-step explanation:

Ok
Ok
Ok
Ok
Ok
Ok
Ok
Ok
Ok
Ok

Find AB.
B
8
610
A
C
Write your answer as an integer or as a decimal rounded to the nearest tenth.
AB =

Answers

Answer:

AB ≈ 7.0

Step-by-step explanation:

Using the sine ratio in the right triangle

sin61° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{8}[/tex] ( multiply both sides by 8 )

8 × sin61° = AB , then

AB ≈ 7.0 ( to the nearest tenth )


can someone solve this please ill give Brainly to who ever is first :)!

Answers

Answer:

465 in²

Step-by-step explanation:

square area: A = lw

triangle area: A = [tex]\frac{1}{2}[/tex] lw (or base x height)

[tex]A_{square}[/tex] = (15)(15) = 225

[tex]A_{triangle}[/tex] = [tex]\frac{1}{2}[/tex] (8)(15) = 60

There is one square and 4 triangles so...

225 + 4(60) = 465 in²

Mr. Hayes has 11 straw bundles to use forr bedding in his horse stalls. What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles

Answers

Answer:

2 stalls

Step-by-step explanation:

Mr. Hayes has 11 straw bundles to use forr bedding in his horse stalls. What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles

1 stall = 4 bundles

4 bundles = 1 stall

11 bundles = x

Cross Multiply

4x = 11

x = 11/4

x = 2 3/4 stalls

The greatest number of stalls he can build is 2 stalls

Question
1 A rectangular block of steel measures 4 cm x 2 cm x 1.5 cm. Its trass is 93.6g.
Calculate the density of steel.
b Steel is made almost entirely of iron atoms, but it is denser than iron.
Suggest a reason for this.
a

Answers

Answer:

[tex]d=7.8\ g/cm^3[/tex]

Step-by-step explanation:

Given that,

The dimensions of a rectangular block = 4 cm x 2 cm x 1.5 cm

Mass, m = 93.6 g

We need to find the density of steel. We know that the density of an object is equal to the mass divided by volume. So,

[tex]d=\dfrac{m}{V}\\\\d=\dfrac{93.6}{4\times 2\times 1.5}\\\\d=7.8\ g/cm^3[/tex]

So, the density of the steel is [tex]7.8\ g/cm^3[/tex].

What is the Slope of the segment With endpoints at (300, -2) (500, 6)?

Answers

Answer:

[tex]\frac{1}{25}[/tex]

Step-by-step explanation:

to find slope: [tex]m = \frac{y_2 - y_2}{x_2 - x_1}[/tex]

[tex]m = \frac{6 - (-2)}{500-300} = \frac{8}{200\\}\\m = \frac{1}{25}[/tex]

Plea look at the photo of Parallelogram properties.
Question: Find the measurement indicated in each parallelogram.
Please explain it you can:)

Answers

Answer:

1. 45

2. 105

3. 95

4. 85

Step-by-step explanation:

For problems 1 and 4:

Consecutive angles are supplementary in a parallelogram, which means they equal 180.

180 - 135 = 45

180 - 95 = 85

For problems 2 and 3:

Opposite angles are congruent or equal each other in a parallelogram,

The graph shows the number of cups of coffee Sherwin consumed in one day and the number of hours he slept that same night:

A scatter plot is shown. Data points are located at 1 and 9, 3 and 5, 5 and 6, 4 and 4, 2 and 7, and 6 and 4. A line of best fit crosses the y-axis at 10 and passes through the point 6 and 4.
How many hours will Sherwin most likely sleep if he consumes 9 cups of coffee?
Answers-
1, because y = −x + 10
9, because y = −x + 10
2, because y = −x + 10
10, because y = −x + 10

Answers

Answer:

1, because y = -x + 10

Step-by-step explanation:

Good Luck! c:

Answer:

1, because y = −x + 10

what point do the lines y=2x+3 and y=5x-9 intersect

Answers

The lines intersect at (4,11)

Answer:

(4, 11)

hope this helps

Dave bought some licorice for $1.80 a pound. He bought some trail mix for $4.00 and some bananas for $2.40. Dave spent a total of $10.00. How many pounds of licorice did he buy?​

Answers

Answer:

2 pounds

Step-by-step explanation:

10-4-2.40=3.60

3.60/1.80= 2

Answer:

2 pounds

Step-by-step explanation:

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