10.
A, B and C are the points (3, 4, (7,3) and (-2, 1) respectively. Obtain the
equation of the median through B of triangle ABC.

Answers

Answer 1

Answer:

[tex]y=\frac{1}{13} x+\frac{32}{13}.[/tex]

Step-by-step explanation:

1. the midpoint of the side AC is:

[tex]D:(\frac{3-2}{2};\frac{4+1}{2})=(0.5;2.5).[/tex]

2. if the coordinates of the points B and D are (7;3) and (0.5;2.5) respectively, then it is possible to make up the required equation of the median BD:

[tex]\frac{x-7}{7-0.5}=\frac{y-3}{3-2.5}; \ \frac{x-7}{13}=\frac{y-3}{1}[/tex]

or

[tex]y=\frac{1}{13} x+\frac{32}{13}[/tex]


Related Questions

Brian had 24 class fair tickets to sell he sold 3/4 of the tickets how many tickets did Brian sell

Answers

Answer:

18 is the correct answer hope it helps

Which value below is equivalent to the expression 5 – 2(3 + 9) + 4?
A. -23
B. -15
C. 33
D. 40​

Answers

Answer:

40

Step-by-step explanation:

5-2(3+9)+4

5-2(12)+4

3(12)+4

36+4

40

could you help me with this? I am very bad at math i need help ​

Answers

Answer:

10) 7 meters

11) 10 yards

12) 452.16 inches²

13) 235.5 meters²

14) 22608 centimeters²

15) 4220.16 centimeters²

16) 1177.5 centimeters²

17) 141.3 millimeters²

Step-by-step explanation:

10) The volume of a rectangular prism is calculated by multiplying the height, width, and length of the shape. In this question, we have the volume, the width, and height, but not the length. To find it, we can divide the width and height from the volume.

First, divide the width.

[tex]\frac{210}{5}[/tex] = 42

Next, the height.

[tex]\frac{42}{6}[/tex] = 7

The length of the shape is 7 meters.

----------------------------------------------------------------------------------------------------------------

11) For this question, we can do the same thing. Take the volume, then divide the length and width from it.

[tex]\frac{360}{6}[/tex] = 60

[tex]\frac{60}{6}[/tex] = 10

The height is 10 yards.

----------------------------------------------------------------------------------------------------------------

12) We have to find the volume of a cylinder. The formula for this is [tex]V=\pi r^2h[/tex]. We will use 3.14 for pi. The radius is 4 in and the height is 9 in. We can plug our values into the equation and solve.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](4²)(9)

V = 3.14(4²)(9)

V = 50.24(9)

V = 452.16

The volume is 452.16 inches².

----------------------------------------------------------------------------------------------------------------

13) We will use the same formula for this. Our radius is 5 m and the height is 3 m. Plug the values in and solve.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](5²)(3)

V = 3.14(5²)(3)

V = 78.5(3)

V = 235.5

The volume of this cylinder is 235.5 meters².

----------------------------------------------------------------------------------------------------------------

14) The radius of this cylinder is 15 cm. The height is 32 cm. Put these numbers into our formula.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](15²)(32)

V = 3.14(15²)(32)

V = 708.5(32)

V = 22608

The volume of this cylinder is 22608 centimeters².

----------------------------------------------------------------------------------------------------------------

15) The next cylinder has a radius of 8 cm and a height of 21 cm.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](8²)(21)

V = 3.14(8²)(21)

V = 200.96(21)

V = 4220.16

The cylinder has a volume of 4220.16 centimeters².

----------------------------------------------------------------------------------------------------------------

16) This cylinder has a radius of 5 cm and a height of 15 cm.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](5²)(15)

V = 3.14(5²)(15)

V = 78.5(15)

V = 1177.5

The volume is 1177.5 centimeters².

----------------------------------------------------------------------------------------------------------------

17) The dimensions of this cylinder are 3 mm and 15 mm.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](3²)(15)

V = 3.14(3²)(15)

V = 9.42(15)

V = 141.3

The volume is 141.3 millimeters².

----------------------------------------------------------------------------------------------------------------

I hope this helps ^^ Good luck

An angle measures 62° less than the measure of its complementary angle. What is the measure of each angle? (i need two answers please help see the pic)

Answers

Answer:

28° 62°

Step-by-step explanation:

Hope this helps :)

what is the value of a when we rewrite 8^x as a^-x/9​

Answers

Answer:

[tex]a = \frac{1}{134217728}[/tex]

Step-by-step explanation:

Given

[tex]8^x = a^{-x/9}[/tex]

Required

Find a

Take log of both sides

[tex]log(8^x) = log(a^{-x/9})[/tex]

Apply law of logarithm

[tex]x\ log(8) = (-x/9) log(a)[/tex]

Divide both sides by a

[tex]log(8) = -\frac{1}{9} log(a)[/tex]

Multiply both sides by -9

[tex]-9\ log(8) = log(a)[/tex]

Apply law of logarithm

[tex]log(8^{-9}) = log(a)[/tex]

Cancel out log

[tex]8^{-9} = a[/tex]

Rewrite as:

[tex]a = 8^{-9}[/tex]

Apply law of indices

[tex]a = \frac{1}{8^9}[/tex]

[tex]a = \frac{1}{134217728}[/tex]

Max wants to buy shirts that cost $8 each. He also wants to buy a pair of sneakers for $39. A. Write an inequality that represents the maximum number of shirts he can buy if he has $75

Answers

Answer:

a) $39+8x<75$, b) no, c) at most 4 pairs

Step-by-step explanation:

A submarine is 200 feet below sea level.

Answers

It is 200 feet below sea level guess what soo coool

Answer:

omg cool I never knew omggggg!!!! PLSSS

Find the length of each trapezoid.

Answers

Answer:

EF = 27

Step-by-step explanation:

(x + 34)/2 = 2x - 13

x+ 34 = 4x - 26

3x = 60

x = 20

EF = 2(20) -13 = 27

Answer:

11.  EF = 27

Step-by-step explanation:

11.

Median of a trapezoid:

2x - 13 = 20 + x + 14

                    2

2(2x - 13) = 20 + x + 14

4x - 26 = 34 + x

4x - x = 34 + 26

3x = 60

x = 20

EF = 2x - 13

EF = 2(20) - 13

EF = 40 - 13

EF = 27

What is the value of x? Please explain how you got to this answer so I can answer similar questions.

Answers

Answer:

4.13 m

Step-by-step explanation:

using Pythagoras theorem

WILL MARK BRAINLIEST FOR WHO EVER ANSWER IT FIRST

Answers

Answer:

B or D is correct i think it's b most likey

Step-by-step explanation:

The opposite of 0 please help fast

Answers

Answer: The opposite of 0 is 0

Step-by-step explanation: Hope this help :D

Answer:

0

Step-by-step explanation:

because there is no opposite to 0 so it would just be 0

Helppppp plsssssssssssssssssssssss thanks シ

Answers

Step-by-step explanation:

False. the number is the x coordinate

True. the x-axis is horizontal

False. 0,0 is called the origin.

The zeroes of the function are

-2 and 0
0 and 4
-2, 0, and 4

Answers

1. x=-2, x=0

So, the equation in factored form would be x(x+2)=0.

2. x=0, x=4

So, the equation in factored form would be x(x-4)=0.

3. x=-2, x=0, x=4

So, the equation in factored form would be x(x+2)(x-4)=0.

Answer:

-2, 0, and 4

second part is none

third part is B

Step-by-step explanation:

I ended up doing it right now

Find the length of the arc. Round your answer to the nearest tenth.

Answers

Answer:

7.1 in

Step-by-step explanation:

Given:

θ = 45°

Radius (r) = 9 in.

Required:

Length of the arc

Solution:

Arc length = θ/360 × 2πr

Plug in the values

Arc length = 45/360 × 2 × π × 9

Arc length = 7.06858347 = 7.1 in (nearest tenth)


helppppppppppppppppppp

Answers

Answer:

15

Step-by-step explanation:

17+17=34

64-34=30

30÷2=15

so the answer is 15

Answer is 15

Step by step exploration

P=2v+2*17=64
2v=30
v=15

Which shows the expressions rewritten with the least common denominator?
7x-2
and
x-1
8x
28X-8
and
2x² - 2x
16x?
16x?
14x - 4
and
2x-2
8x?
8x?
28x2-8x 2x3 - 2x²
and
16x
16x?
14x - 4
and
8x2
8x?

Answers

Answer:

Heyyyyy, use https://www.bartleby.com/  it has helped me out a lot & has literally saved my grades. Its actual tutors/teachers who answer your questions in about 30 minutes !!!!!!!!

Answer:

This question is missing a denominator!

it is 7x-2/4x^2 and x-1/8x

I do not know the answer though....I came here looking for help!!

Step-by-step explanation:

Find the surface area of a cylinder with a diameter of 8
yards and a height of 9 yards.

Answers

Answer:

a=326.76 yd^2

Step-by-step explanation:

a= 2pi(d/2)h+2pi(d/2)^2=2pi(8/2)9+2pi(8/2)^2= 326.72564yd^2

is .5 a integer? xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

Answers

Answer:

No

Step-by-step explanation:

Fractions and decimals are not considered integers

0.5 is not an integer it is a decimal. Only number that can be made by repeatedly adding and subtracting 1 to/from 0 (including 0) are integers can I get a brainliest pleasee

-10+3X<4

Having trouble on this one.

Answers

Answer:

=4

Step-by-step explanation:

4 is the correct answer

HELP !!!!!! I need this question to Graduate high school!!! Plzzzz help me

Answers

I’m solving it. I’m solving it

Bo took a walk. From his house he went 2 blocks west, 7 blocks north, 3 blocks west, 4 blocks south, and 5 blocks east. How far was he from his home?

Answers

He was 20 blocks far

20
A wildlife biologist tracks the number of wolves in a particular region. Data for 15 months is shown. Use the
data to make a frequency table with intervals.
15, 19, 24, 28, 26, 29, 17, 16, 17, 14, 22, 20, 18, 27, 27

Answers

Answer:

A wildlife biologist tracks the number of wolves in a particular region. Data for 15 months is shown. Use the

data to make a frequency table with intervals.

15, 19, 24, 28, 26, 29, 17, 16, 17, 14, 22, 20, 18, 27, 27

a. Wolves Observed

Number of Wolves Frequency

15  19 6

20  24 3

25  29 5

c. Wolves Observed

Number of Wolves Frequency

14  17 5

18  21 3

22  25 2

26  29 5

b. Wolves Observed

Number of Wolves Frequency

14  16 3

17  19 4

20  24 3

25  29 5

d. Wolves Observed

Number of Wolves Frequency

14  17 5

18  21 3

22  25 3

26  29 4

someone please help me answer this correctly

Answers

Answer:

13 units is the answer.

Step-by-step explanation:

points (8,-4) and (3,8)

We can rewrite the Pythagorean theorem as,

[tex]d=\sqrt{(x_2 - x_1)^2+(y_2-y_1)^2} \\\\d= \sqrt{(3-8)^2 + (8-(-4))^2} \\\\d=\sqrt{(-5)^2 + (12)^2} \\\\d=\sqrt{25 + 144} \\\\d=\sqrt{169} \\\\d=13\\\\[/tex]

∴ distance between 2 points (8,-4) and (3,8) = 13 units.

equation on
1) 3x + 4 = 2x + 6
2) 4x - 9 = 2x + 1
3) 4x - 3 = x + 6
4) 5m - 2 = 16 - 4m

Answers

1.) 7x = 8x

2.) -5x = 3x

3.) 1x = 6x

4.) 3m = 12m

. Kemone bought 3 pounds of hamburger for $2.56 per pound and a box of cereal for $3.95. How can you calculate how much she spent? *

Answers

Answer:

Step-by-step explanation:

you multiply 2.56 by 3 and add 3.95 an equation would look like y=(3×2.56)+3.95

Choose 3 values for x that would make this inequality true. X - 4<20
23
22
0
24
30
100

Answers

Answer:

x<24

x<22

x<23

Step-by-step explanation:

X - 4<20

move 4 and add it to 20

x<24

same goes for the other solutions

7. The following numerical ordered sequence of numbers has a mean of 13 and a median of 14. 4. a. 8. 10. 13.b. 16. 18. 20:21 Gven this information, the values of a ondo must be: ​

Answers

Answer:

a = 9

b = 19

Step-by-step explanation:

DO B FIRST

The mean is the average of all the terms (numbers) in the sequence

To find the average you find the sum of the terms and divided the sum by the number of terms there are.

The mean times the number of terms equals the sum of all the terms subtract the terms that you know from the sum to get A

a = 17(10)-7-12-15-17-19-20-22-24-25

a = 170-161

a = 9

The median is found by taking the average of the two middle terms

Our middle terms are 17 and B

the median times 2 equals the sum of the two terms and then subtract the term you know from the sum

b = 18(2)-17

b = 36-17

b = 19

If you know the area circle,how can you find its radius use the drop down menus to explain your answer

Answers

Answer:

You divide the diameter by 2 to get the radius.

An agricultural scientist collected data to study the relationship between the amount of nitrogen added to a cornfield and the number of bushels of
com produced. This is the regression line of the data, where y is measured in bushels of corn and is measured in pounds of nitrogen
y=0.43x + 28.5
What is the meaning of the slope of the regression line?
O A For every 0.43 pounds of nitrogen added to the field, the amount of corn yielded increases by 28.5 bushels.
OB. For every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 0.43 bushels
OC. For every 1 pound of nitrogen added to the field, the amount of corn yielded increases by 28.5 bushels
OD. For every 28.5 pounds of nitrogen added to the field, the amount of com yielded increases by 0.43 bushels.

Answers

Answer:

A

Step-by-step explanation:

Because everything else is wrong trust me

A football stadium holds 5000 people.
On a match day z of the stadium is full.
40% of the children are girls.
The ratio of adults to children is 2:3
How many of the children attending are boys?

Can someone plz help me with this

Answers

Answer:

1000 children

Step-by-step explanation:

Find the total units of adults and children = 2 + 3 = 5

5 units = 5000

1 unit = 5000 ÷ 5 = 1000

100% ÷ 5 units = 20% each unit

3 units = 20% x 3 = 60%

Since we all know that 60% of the people are children and 40% of the children are girls...

60 - 40 = 20%

20% = 1000

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