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:

  √26 ≈ 5.10 units

Step-by-step explanation:

The midpoint to which the median is drawn is ...

  M = (B +C)/2

  M = ((-3, 3) +(5,1))/2 = (-3+5, 3+1)/2 = (2, 4)/2 = (1, 2)

The distance between the first vertex and this point is given by the distance formula.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  d = √((2 -1)^2 +(7 -2)^2) = √(1^2 +5^2) = √26 ≈ 5.0990 ≈ 5.10

The length of the median is √26 units.

If The Points (2,7),(-3,3) And (5,1) Are The Vertices Of A Triangle ,find The Length Of The Median Drawn

Related Questions

Does the point (7,7) satisfy the equation y =8x?

Answers

Answer:

no

Step-by-step explanation:

y = 8x

Try (7, 7).

Is 7 = 8(7)?

Is 7 = 56?

The answer is no, so the point (7, 7) does not satisfy the equation y = 8x.




Points A, B and C lie on a circle, centre O.
Angle AOC = 142°.
Find the value of y.

Answers

The value of the angle [tex]y[/tex] within the quadrilateral [tex]OABC[/tex] inscribed the circle is 142°.

Let suppose that quadrilateral [tex]OABC[/tex] is a parallelogram. Then, the following conditions must be fulfilled:

[tex]\overline {OA} \cong \overline {BC}[/tex] [tex]\overline{AB} \cong \overline{OC}[/tex] [tex]\angle AOC \cong \angle ABC[/tex]

In addition, if we have a rhombus we have the additional condition as A, B and C lie on the circle:

[tex]\overline{OA} \cong \overline {AB} \cong \overline {BC} \cong \overline{OC}[/tex] (4)

If we know that [tex]\angle AOC = 142^{\circ}[/tex], then the value of [tex]\angle ABC = y = 142^{\circ}[/tex].

Based on all these finding, we conclude that the value of the angle [tex]y[/tex] within the quadrilateral [tex]OABC[/tex] inscribed the circle is 142°.

To learn more on parallelograms, we kindly invite to check this verified question: https://brainly.com/question/555469

Can i get some help ?:

Answers

Answer:

7 + 3² - 2.5 / 4 - 1.2 > ( 3/4 + 1/8 ) ÷ 1/8 - 2²

Step-by-step explanation:

7 + 3² - 2.5 / 4 - 1.2 = 4.82142857

( 3/4 + 1/8 ) ÷ 1/8 - 2² = 3

Which means :

7 + 3² - 2.5 / 4 - 1.2 > ( 3/4 + 1/8 ) ÷ 1/8 - 2²

What is the volume of a pencil

Answers

around 19.05 centimeters or 7.4 inches

Each big square below represents one whole.

What percent is represented by the shaded area?

Answers

Answer:

the frist one

Step-by-step explanation:

hope it helps

Find a pair of positive integers for and b in these questions
18 + 65 = 1865
23 + 7 = 2314

Answers

Answer:

a=100

b=1

Step-by-step explanation:

18a+65b=1865

23a+7b=2314

We need to make one of the variables equal to the other

So...

The LCM for 65 and 7 is 455

So multiply 7 with 18a+65b=1865

and Multiply 65 with 23a+7b=2314

7 times 18a+65b=1865 is 126a+455b=13055

65 times 23a+7b=2314 is 1495a+455b=150410

So Subtract 126a+455b=13055 and 1495a+455b=150410

So 1369a=137355

Divide:

Which is about 100 (The actual value is 100.3323594)

Thus a=100

Substitute:

b=1

Hope this helps!

(The answer is rounded)

Please show any steps you used to solve the equation!

Solve the equation [tex]sec(theta)=2 \\0\leq theta\ \textless \ 2\pi[/tex]

I'll mark brainliest if correct!

Answers

sec(θ) = 2

By definition of secant,

cos(θ) = 1/2

Solve for θ :

θ = arccos(1/2) + 2nπ   or   θ = -arccos(1/2) + 2nπ

(where n is any integer)

θ = π/3 + 2nπ   or   θ = -π/3 + 2nπ

We get two solutions in the interval 0 ≤ θ < 2π :

θ = π/3   or   θ = 5π/3

what is ur favorite character from boondocks mine is Riley freeman and also Huey freeman

Answers

Answer:lol

Step-by-step explanation:

How I can apply the distribute property to this question?

Answers

14 = 2•7 and 35 = 5•7, so the GCF of 14k and 35 is 7.

14k + 35 = 2•7k + 5•7 = 7 (2k + 5)

(Remember that the distributive property says a (b + c) = ab + ac.)


Write an equation of the line that passes through the point (3,-5) and has the slope of 2

Answers

Answer:

Y-Y1=M(x-x1)

that's the formula then fixing in your values we have

y + 5 =2(x-3)

y+5 =2x-6

Crossing over we have

y-2x=-6-5

equation of the line equals

y-2x-11 =0

If the purchase price for a house is $218,500, what is the monthly payment if you put 3. 5% down for a 30 year loan with a fixed rate of 6. 5%? a. $1,332. 73 b. $1,378. 19 c. $1,247. 54 d. $646. 40.

Answers

Answer: A $1,332.73

Step-by-step explanation:

The monthly payment if you put 3. 5% down is a. $1,332. 73.

Down payment=218,500 - (218.500×3.5%)

Down payment=218.500-7,647.5

Down payment=210,852.50

Time = 12×30=360 months

rate=6.5/1,200 = 0.005416667

Using the loan payment formula

Monthly payment = (Rate + [Rate / (((1 + rate)^months) -1)] × Principal

Let plug in the formula

Monthly payment = (0.005416667 + [0.005416667 / (((1.005416667)^360)-1)] × principal

Monthly payment = (0.005416667 + [0.005416667 / (((1.005416667)^360)-1)] ×principal

Monthly payment = 0.005416667 + [(0.005416667 / 6.9917988084 -1)] ×210,852.50

Monthly payment = 0.005416667 + [(0.005416667 / 5.9917988084)] × 210,852.50

Monthly payment = 0.005416667 + [(0.005416667 / 5.9917988084)] × 210,852.50

Monthly payment = (0.005416667 + 0.0009040135) × 210,852.50

Monthly payment = 0.0063206805× 210,852.50

Monthly payment = 1,332.73

Inconclusion the monthly payment if you put 3. 5% down is a. $1,332. 73.

Learn more about monthly payment here:https://brainly.com/question/25658911

Fred is 5 inches shorter than the quotient of Rick’s height and 4. let r represent Rick’s height. Write an expression that represents Fred’s height

Answers

Let r represent Rick’s height.Therefore, the quotient of Rick’s height and 4[tex] = \frac{r}{4} [/tex]Fred is 5 inches shorter than the quotient of Rick’s height and 4.Therefore, an expression that represents Fred’s height is [tex] \frac{r}{4} - 5 [/tex]

Answer:

[tex] \frac{r}{4} - 5[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

r represents height of RickQuotient of r and 4 means r is divided by 4

The expression till now

[tex]\\ \sf{:}\Rrightarrow \dfrac{r}{4}[/tex]

But we need the expression for five less than the quotient

[tex]\\ \sf{:}\Rrightarrow \dfrac{r}{4}-5[/tex]

At the beginning of the month you have $1500 in your bank account. Each time you visit the ATM you take $60 out. What is the rate at which your balance is changing each time you visit the ATM?

Group of answer choices

$3

-$60

$60

-$63

-$1500

-$3

Answers

I think the correct answer would be -$60

Help, please! I need this done for my finals.

Answers

Answer:

First one is yes second one is yes 3 one is yes 4 one is yes and first one is a repeating decimal

Step-by-step explanation:

Also sorry if it's wrong but I tried also hope u have a great day!

Solve this inequality for x.

Answers

Answer:

A

Step-by-step explanation:

81 - 1 1/5x [tex]\leq[/tex] 55

Subtract 81 from  both sides

- 1 1/5x [tex]\leq[/tex] -26

Turn - 1 1/5 into the improper fraction -6/5

-6/5x [tex]\leq[/tex] -26

Divide by sides by -6/5 by multiplying by the reciprocal. This also changes the direction of the sign.

x [tex]\geq[/tex] 65/3

x [tex]\geq[/tex] 21 2/3

What is the value of X?

37 x X = 222

Answers

Answer:

87

Step-by-step explanation:

sorry if im wrong

Solve for the variable PLEASE HELP

Answers

Answer a+ 4 - a-7 a-7 _5 = 37_6

Step-by-step explanation:

Answer:

a=-7

Step-by-step explanation:

Find least common multiplier

LCM=105

Multiply to function

a+4/3 *105- a/7= 105* a+7/5

Simplify

35(a+4)-15x=21(a+7)

Expand

20a+140=21a+147

Subtract 140 from both sides

20a=21a+7

Subtract 21a from both sides

-a=7

Divide both sides by -1

-a/-1=7/-1

a=-7

Have students write the answer to the Essential Question and draw examples to explain their answer

Answers

What’s the question?

1.60x + 0.95(12)=23.40
solve for x

Answers

X is ymz 2719/822 your w Leiden e

There are 12 students with brown hair and 45 students with black hair in a math class. What is the ratio of students with brown hair to students with black hair?

Answers

Answer:

57 Students........................

Answer this .i will make you brainliest

Answers

[tex]\huge{\underline{\underline{\boxed{\sf{\purple{ǫᴜᴇsᴛɪᴏɴ}}}}}}[/tex]

(8) An aeroplane takes off from Dubai located in the +4 time zone at 13:00. It arrives in Manila in Philippines, located in the +8 time zone at 20:00.

(1) Find the time in Manila when the aeroplane departsfrom Dubai.

(ii) Find the time duration of the flight.

(iii) What is the time in Dubai when the aeroplane arrives in Manila?

[tex]\huge{\underline{\underline{\boxed{\sf{\ref{Answer}}}}}}[/tex]

(i)17.00(ii)3 hours(iii) 16.00

[tex]\large\huge\green{\sf{♥ Explanation♥}}[/tex]

Dubai located +4 zone, takes off at 13.00,

∴Hence, at standard it is 13.00-4 =99.00 STD talk

off reached at Manila +8 Zone at 20.00

∴Hence at standard & 2000 -8

reached.⇒ 12.00 STD

Hence time of flight was = 3 hours.

(i) Time at Manila, whicle Plane de parts

12-3+8 ⇒9+8 → 17.00

(ii) duration = 3 hours.

(iii) in dubai 13.00 + 3 = 16,00

_____________________

Ans

i)17.0.0 (ii) 3 hours (iii) 16.00

________________________

♕ hence we done:) xD

Will give brainly,5 stars,and thanks

Answers

Answer:

Give the person above me brainliest

Step-by-step explanation:

Pleaseeee helppppp meeee

Answers

Answer:

5) y=13x+10

6)

A. The subtraction property of equality says if we subtract one side of the equation, we do the same for the other side.

B. The addition inverse property is what you add to a number to create the sum of 0.

C. Like the subtraction property of equality, the division property says when you divide one side, you must divide the other side.

Step-by-step explanation:

Explained in answer :D hope it made sense

Josue broke a cell sample into 12 batches, each weighing 6.9 x 10 ^-10
grams. How much did the original sample weigh? Use scientific notation to express your answer.

Answers

Using proportions, it is found that the original sample weighed [tex]8.28 \times 10^{-9}[/tex] grams.

This question is solved by proportions, using a rule of three.The weight of 1 batch, in grams, is of [tex]6.9 \times 10^{-10}[/tex]. How much do the sample of 12 batches weigh?

The rule of three is:

1 batch - [tex]6.9 \times 10^{-10}[/tex] grams.

12 batches - x grams

Applying cross multiplication:

[tex]x = 12 \times 6.9 \times 10^{-10} = 82.8 \times 10^{-10}[/tex]

Applying scientific notation:

[tex]8.28 \times 10^{-9}[/tex]

The original sample weighed [tex]8.28 \times 10^{-9}[/tex] grams.

You can learn more about proportions at https://brainly.com/question/24372153

what the sum of 9999x23

Answers

Answer:

suma is 229,997

Step-by-step explanation:

229,997

You use a juice mix to make orange juice.
You combine 12 ounces of the mix with 36 ounces of water.

What is a unit rate that describes your juice?


Mr. and Mrs. Ozawa are driving their family to a vacation spot 496 miles away. They want to get there in 8 hours. What is the average speed they need to drive?


Answers

Answer:

1. Ounces

2. 62 miles per hour

Step-by-step explanation:

1. 12 OUNCES and 36 OUNCES

2. 496/8 = 62 (check 62x8 = 496)

Joe was in charge of lights for a dance. The red light blinks every two seconds, the yellow light every three seconds, and the blue light every five seconds. If we include the very beginning and very end of the dance, how many times during a seven minute dance will all the lights come on at the same time

Answers

Answer:

We consider:

T1 = 2s

T2 = 3s

T3 = 5s

We calculate the least common multiple of the Ts:

Ttot = 30 s.

During a seven minute dance the lights will come on at the same time:

7*60 s / 30 = 14 times.

In a span of 7 minutes, the lights will blink together 14 times.

What is LCM?

LCM of two or more than two given numbers is the smallest common multiple that is divisible by two or more than two given numbers.

Given, Joe was in charge of lights for a dance.

The red light blinks every two seconds, the yellow light every three seconds, and the blue light every five seconds.

LCM of 2, 3, and 5 is 30 so the lights blink together after every 30 seconds.

So, in 7 minutes or (7×60) = 420 seconds the lights will blink together

(420/30) = (42/3) = 14 times.

Learn more about LCM here :

https://brainly.com/question/20739723

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Simplify: 1/6x + 42 + 2/5x - 8/3 -19

A: 97/30x + 23
B: 21/10x - 23
C: -21/10x + 23
D: 97/30x - 23

Answers

Answer:

A: 97/30x + 23

List all congruent angles and write a proportion that relates the corresponding side

Answers

Sorter and the other people who have

Proportion of corresponding side is FH/JH  = HG/HK  = FG/JK.

What are congruent triangles?

Congruent triangles are triangles that are the same size and shape in every way. The sign for congruent is ≅ . Two triangles are considered to be congruent if the measurements of one triangle's three sides and three angles are the same as those of another triangle's sides and three angles.

Given triangles are similar ΔFGH ∼ ΔJKH

We can make the angles of this statement that correspond to each other congruent. We can then write a proportion that relates the corresponding sides to one another because the sides of similar triangles are proportional to one another.

so angles ∠GFH ≅ KJH; ∠GHF ≅ ∠KHJ; ∠HFG ≅ ∠HJK

and proportion of corresponding side is  FH/JH  = HG/HK  = FG/JK.

Hence the proportion that relates the corresponding side are            FH/JH  = HG/HK  = FG/JK.

Learn more about congruent triangles;

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Pleas dose anyone know all the answers to the South and East Asia for endogeneity unit test? :)

Answers

look up the pdf of the test
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