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

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

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:

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

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

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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

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

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

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)

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

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

Please help. Picture uploaded below.

Answers

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

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 :)

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

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

Answers

Let's see

30+30×30+20/2030+30^2+131+900931

Done!

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

Answers

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

??????????????????????????​

Answers

Answer:

Top left and bottom one

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?

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

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

Answers

Answer:

2:5  

12:30

Step-by-step explanation:

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

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Answers

Answer:

x = 122

Step-by-step explanation:

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 ❤

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

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Answers

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

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

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

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.

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

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