If the points (2,7),(-3,3) and (5,1) are the vertices of a triangle ,find the length of the median drawn through the first vertex.​

Answers

Answer 1

Answer:

[tex]\sqrt{26}[/tex] units

Step-by-step explanation:

The median is the line segment connecting the vertex with the midpoint of the opposite side.

The midpoint has coordinates:

x = (-3 + 5)/2 = 2/2 = 1y = (3 + 1)/2 = 4/2 = 2

Use the distance formula to find the distance between points (2, 7) and (1, 2):

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex][tex]d=\sqrt{(1- 2)^2+(2-7)^2} =\sqrt{1+25} =\sqrt{26}[/tex]
Answer 2

Step-by-step explanation:

the formula for the length of a median based on the 3 side lengths is

m = sqrt(2AB² + 2AC² - BC²)/2

where BC is the side opposite of the indicated vertex.

let's say

A = (2, 7)

B = (-3, 3)

C = (5, 1)

AB² = (2 - -3)² + (7 - 3)² = 5² + 4² = 25 + 16 = 41

AC² = (2 - 5)² + (7 - 1)² = (-3)² + 6² = 9 + 36 = 45

BC² = (-3 - 5)² + (3 - 1)² = (-8)² + 2² = 64 + 4 = 68

m = sqrt(2×41 + 2×45 - 68)/2 = sqrt(82+90-68)/2 =

= sqrt(104)/2 = sqrt(104/4) = sqrt(26) =

= 5.099019514...


Related Questions

two more and that it 30 + 30 × 30 + 20 ÷ 20

Answers

Let's see

30+30×30+20/2030+30^2+131+900931

Done!

please answer , thank you in advance to whoever does !!!!

Answers

It’s b, translated means moved. It is reflected and moved

Mr. Lamb is missing a solution for his next patient. He has a cylindrical test tube which is 4 cm across the inside. The depth of the tube is 9 cm. What is the volume of the cylinder in mL?

Answers

Answer:

V=113.04mL

Step-by-step explanation:

The question is asking us to find the volume of a cylinder in mL. For this, we can use the equation V=[tex]\pi r^{2} h[/tex].

We know the diameter, 4cm, and the height, 9cm.

In order to solve, we must first find the radius.

r=1/2d

r=1/2(4)

r=2cm

We can now plug this into our equation.

V=[tex]\pi r^{2} h[/tex]

V=[tex]\pi (2)^{2} (9)[/tex]

V=[tex](3.14)(2)^{2} (9)[/tex]

V=113.04mL

Which congruence criteria is met in the following scenario
HL
AAS
SAS
ASA
SSS

Answers

Answer: SAS

Because there is a mark showing that one pair of sides are congruent, the stars showing that one pair of angles are congruent, then the triangles are sharing a line (which means that they are congruent)

-
If f(9) = - 3, write a corresponding ordered-pair solution.

Answers

Answer:

(9,-3)

Step-by-step explanation:

u just have to plug it up

Need help on HS geometry

Answers

Answer:

RS = 46 , RT = 38

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle (mid segment) is half the length of the third side, then

RS = 2 × UW = 2 × 23 = 46

RT = 2 × VW = 2 × 19 = 38

A certain stock sold for $24.89 per share on Thursday. On Friday it sold for $21.36. Find the decrease in the price of the stock from Thursday to Friday.

Answers

It would have 10$ left to fill

Help! this is due in 2 hoursssss

Answers

Answer:The smallest angle is 2x+10  solve the eqation x=4

Step-by-step explanation:its the right answer i did this before and got it correct

Answer:

the equation you wrote is correct

x=30

the smallest angle is: x-10 or 20

3x=30

2x+10=70

Step-by-step explanation:

Find x, y, and z. Drag and drop the numbers into the boxes to show the value of each variable.

Answers

Answer:

x=186.68

y=140

z=233.34

Step-by-step explanation:

easy method to solve since you have the answers to pick from

first triangle. we have two sides 175 and 105 and we know that 175 have to be the largest number, its the hypotenuse. which means

y=140,

cannot be 233 or 186 because both greater than 175

now next triangle. x-y-z, we already know "y" and "z" needs to be the largest number so it has to be

z= 233.34 and finally

x=186. 67

8 less than the sum of 6 and a number

Answers

Answer:

(6 + n) - 8

Hope this helps.

Pls mark brainliest. :D

Answer:x < 2

Step-by-step explanation: 6+x < 8

x < (8-6)

x < 2

Can someone help me with this? Last one is -1/4 btw

Answers

2 because rise/run so 8/4 which=2

pllzz help i'll give brainliest

Answers

Answer:

Triangle 20, 30, and 15 will create a triangle

Step-by-step explanation:

In order for side lengths to make a triangle, the sum of the two shortest sides must be greater than the longest side

5+3 < 9 so it does not work

15+20>30 so it does work

Lisa paint 3/8 of the room and Madison paint 1/5

how much more of the room did Lisa paint

Answers

Answer:

[tex]\huge\boxed{\frac7{40}\ more\ of\ the\ room}[/tex]

Step-by-step explanation:

To solve this problem, you need to find the common denominator.

To do this, simply multiply the first fraction by 5/5, and the second by 8/8 to get:

[tex]\frac15=\frac{1}{5}*\frac{8}{8} = \frac{1*8}{5*8} = \frac{8}{40}[/tex]

[tex]\frac38=\frac38*\frac55=\frac{3*5}{8*5}=\frac{15}{40}[/tex]

Thus, Lisa painted 7/40 more of the room than Madison.

Hope it helps :)

A potter can make 24 vases in 8 days. If the potter works 6 hours each day, how long does it take to make one vase?

Answers

Answer: 2
Explaintion/
24/8 =3
6/3=2

the sum of all but one interior angle of a heptagon is 776°. what is the measure of the final interior angle?

Answers

Answer:

The final interior angle = 124°

Step-by-step explanation:

A heptagon has 7 sides. The sum of the interior angles formula:

The sum of the interior angles =  (n - 2)180 where n = number of sides.

The sum of the interior angles= (7 - 2)180° = 900°

Six interior angles = 776°.

The final interior angle + six interior angle = 900°

The final interior angle + 776° = 900°      

The final interior angle = 900° - 776°

The final interior angle = 124°

Answer:

124

Step-by-step explanation:

Right on Edge 2022

Solve:

3.7x + 1.2 = 5.4x - 6.3

Answers

x=75/17 i did the math and got that answer
75/17 thats the answer

negative three eights times a number,z, equals 12.

Answers

Answer:

the answer is 32

Step-by-step explanation:

3/8=0.375

0.375 x 12 =32

Answer:

-0.5

Step-by-step explanation:

If we reverse the math, 12/ -3/8=-0.5, therefore -0.5 is the answer. Please mark brainliest if possible

Please help. Picture uploaded below.

Answers

Answer: The answer is the number of each type of topping ordered.

please give me the answer (click on file) ​

Answers

Answer:

x = 122

Step-by-step explanation:

When we divide 1800 birr to three brothers in the ratio 2:3:1, what is the smallest share?

Answers

Answer:

300

Step-by-step explanation:

2+3+1=6

1800=6 parts

1 part=1800/6=300

The smallest share among the three brothers is 300 birrs.

What is ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, we divide 1800 birrs to three brothers in the ratio 2:3:1,

Let the amount they hold be 2x, 3x and x

Therefore, 2x+3x+x = 1800

6x = 1800

x = 300

Hence, The smallest share among the three brothers is 300 birrs.

For more references on ratios, click;

https://brainly.com/question/13419413

#SPJ2

??????????????????????????​

Answers

Answer:

Top left and bottom one

Step-by-step explanation:

plz help me find this answer offering 10 points for a answer !!

Answers

6a and 8a 4b and 2b. hope this helps

can someone help me figure this out

Answers

Answer:

b ≥ 8

Step-by-step explanation:

b + 4 + 2(-2b + 4) ≤ -12

b + 4 - 4b + 8 ≤ -12

-3b + 12 ≤ -12

-3b ≤ -24

b ≥ 8

Match each verbal description with the algebraic expression it represents.

Answers

Answer:

Brainly.com

Question

Match each expression to the correct verbal description.

Answer · 12 votes

(7x)3+8 8 added to the cube of 7x(7x+8)3 The cube of the sum of 7x and 87(x+8)3 7 times the cube of the sum of x and 87x3+8 8 added to 7 and x cubed

what 0x0+1-0 explain it has to be mathematical geniuses

Answers

Answer:

1

Step-by-step explanation:

you cant multiply 0 and 0 and then plus one minus 0 you can't minus anything cuz it's well zero and it would be one

Answer:

1

Step-by-step explanation:

zero times zero is equal to zero, so if you add one to that, it then becomes one. After that, if you subtract zero from that you are basically not changing the one.

so yeah

Which functions are invertible
Select each correct answer

Answers

Answer:

  the top two

Step-by-step explanation:

For a function to be invertible, it must pass the "horizontal line test." That is, there can be no horizontal line that will intersect the graph in more than one place. The bottom two graphs fail this test, so do not represent invertible functions.

The two top graphs show invertible functions.

which ratio is equivalent to 4:10? Choose ALL the equivalent ratios

Answers

Answer:

2:5  

12:30

Step-by-step explanation:

One minute is (60,12,50,100 pick one ) times as long as ( one hour or one second)

Answers

Answer:One minute is 60 times as long as one hour i guess?

amelia sells jewelry. she earns 12% commission on her sales , and a weekly salary of 550. how much did amelia earn this month if she sold 22,540 worth of jewelry?

Answers

Answer:

$27,444.80

Step-by-step explanation:

12% of 22,540 is 2,704.8

add the amount she made

add the weekly salary (550 × 4)

1)
Which of the following is not a linear equation in one variable?
(a) 32+5 = 0 (b) 3(x+y) = 0 (c) 3x+5 = 0 (d) 3y+5 = 0

Answers

Answer:

letter c is the answer

Step-by-step explanation:

hope it helps you

Answer:

The answer is Option C.) 3x+5 = 0

Step-by-step explanation:

Option A, can't be the answer. It doesn't show a linear graph. Therefore it's incorrect.

Option B, can't be the answer. It doesn't show a linear graph either. This one is also incorrect.

Option C, on the other hand, is correct because it's not a linear equation.

Option D, can't be the answer. It shows a graph, but with a squiggly line. Therefore, this one is also incorrect.

Hope this helps!

Have a nice day/night/afternoon.

(Can you mark me brainliest?)

- ❤ 7272033Alt ❤

Other Questions
Which equation has the same solution as w / 3.9 = 3? A. w+0.6=1.9 B. w-0.6 = 11.1 C. w+1.03=2.93 D. w-1.03=8.24 1+3+5+...+X=441X=? Which of the following most likely to increase the chance of the formation of a heat island? Build a small skate park Construct a shopping mall Drive to work Use public transportation often (1) What is the history of renewable energy in the United States? (2)What are the advantages anddisadvantages of renewable energy? (3)What can you do to help forsee a sustainable energy futurein the United States? You must address all of thesequestions in a minimum 2 paragraphs. {GIVING BRAINLIEST}How was the militia more ready for the Battle of Bunker Hill than the Battles of Lexington and Concord? They collected more money from the locals. They dug trenches and built fortifications. They had warned residents of the approaching army. They prepared matching uniforms. 8 CS (a) Mohan drinks a cup of tea -Past continuous 15. Which of the following is controlled by multiple genes and influenced by the environment? *Codominant traitsSingle gene traitsPolygenic traitsIncomplete dominant traits 13. Marta, haz la cama.1.no la haces2.no la hagas3.no la hace4.no la haga how long do you have to pay spousal support in california? Which equation correctly uses the law of cosines to solve for y? 92 = y2 + 192 2(y)(19)cos(41) y2 = 92 + 192 2(y)(19)cos(41) 92 = y2 + 192 2(9)(19)cos(41) y2 = 92 + 192 2(9)(19)cos(41) PLS HELP!! You are watching the evening news and you see protestors walking around with signs proclaiming their dislike for bill S254. You are not sure what the bill says, but you are sure where the bill originated. Where did the bill originate?A.the SenateB.the State DepartmentC.a state senateD.the House of RepresentativesPlease select the best answer from the choices providedA 50B 51C 67D 75 What is the volume of a cube with sides of length 9m? Heheh... uhm, yeah, I don't do best with algebraic questions- An antibody is a foreign substance in the body.a. Trueb. False A sphere has an area equal to 4800 cm2. Considering = 3, what is the measure of its radius? * 15 cm 10 cm 144 cm 12 cm 20 cm Find the equation of a line that intersects with y=2x-1 on the y-axis and is parallel to y=-x. Please explain. Double stranded RNA is cleaved by -5 5/6 - ( -2 1/3 ) + 5 1/6 which inequality is a true statement select each correct answer y=45x+1y=35x6