How might you prove your observations in Question 2 using algebra and x and y-coordinates? Briefly outline an approach using what you know about a midpoint and the slope of a line.

Answers

Answer 1

Answer:

I can use variables to represent the coordinates of the vertices for a general triangle, ∆ABC. Then I can calculate the midpoints of the sides in terms of those variables. Using the point-slope formula for the equation of a straight line, I can build the symbolic equations for the three medians, AE, BF, and CD. I can solve for the point of intersection for two of the medians, AE and BF, for example. Finally, I can prove the lines (i.e., medians) concurrent if the point I found also satisfies the equation of the line for CD.

Answer 2

Answer:

I can use variables to represent the coordinates of the vertices for a general triangle, ∆ABC. Then I can calculate the midpoints of the sides in terms of those variables. Using the point-slope formula for the equation of a straight line, I can build the symbolic equations for the three medians, AE, BF, and CD. I can solve for the point of intersection for two of the medians, AE and BF, for example. Finally, I can prove the lines (i.e., medians) concurrent if the point I found also satisfies the equation of the line for CD.

Step-by-step explanation:

Here is the answer from Plato! Hope this helps :)


Related Questions

Choose the expression that completes the equation. 33÷ 3+ 10 = ________ 2(10 + 1) 10(1 + 1) 3(6 + 1) 5(3 + 5)

Answers

Answer:

3(6+1)

Step-by-step explanation:

33÷3=11

11+10=21

Answer: 3( 6+1)

Step-by-step explanation:

Yes

What is the correct order of the steps used to derive the identity?
A.) 4, 3, 5, 1, 2
B.) 4, 5, 3, 1, 2,
C.) 3, 4, 5, 1, 2
D.) 3, 4, 1, 5, 2

Answers

The correct order of the steps used to derive the identity is (A.) 4, 3, 5, 1, 2

How to determine the correct order of step?

The trigonometry identity is given as:

tan(2x)

When the tangent formula is applied, we have:

[tex]\tan(2x) = \frac{\sin(2x)}{\cos(2x)}[/tex] --- step 4

Expand sin(2x) and cos(2x)

[tex]\tan(2x) = \frac{2\sin(x)\cos(x)}{\cos^(x) - \sin^2(x)}[/tex] --- step 3

The option from the list that obey the above order is (a) 4, 3, 5, 1, 2

Hence, the correct order of the steps used to derive the identity is (A.) 4, 3, 5, 1, 2

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Answer:

A). 4,3,5,1,2

Step-by-step explanation: on edge

get correct for brainleist!

Answers

Answer:

the tird one

Step-by-step explanation:

the asking you like for the number who repeat I hope it help if need more explanation tell me

Which two points should the line of best fit go through to best represent the data in the scatterplot?​

Answers

Given :   A graph with points (1, 3), (2, 7), (3, 8), (4, 11), (5, 12), (6, 13).

To find :  From Which two points the line of best fit goes through

Solution:

(3, 8) &  (5, 12) will be two points

as then line  points will be

( 1 ,  4 ) , ( 2, 6) , ( 3 , 8 ) , ( 4, 10) , (5 . 12)  & ( 6 , 14)

(1, 3)   will be below ( 1 ,  4 )

(2 , 7) will be above ( 2 , 6)

( 3 , 8 ) will be on line

(4 , 11 ) will be above ( 4 , 10)

( 5 , 12  ) will be on line

( 6 , 13)  will be below ( 6 ,  14 )

(1, 3)  & ( 6 , 13)  two points are below line

(2 , 7) & (4 , 11 )  two points above line

Hence points are Equally scattered above  & below line

Hence (3, 8) &  (5, 12) will be two points on   line of best fit

Hope it helpss !!

The two points which  the line of best fit go through to best represent the data in the scatter plot is Option A.

The points which satisfies the line is  A ( 2 , 7 ) and   B ( 1 , 3 )

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be A

Let the two points be A and B

where the point A is A ( x₁ , y₁ ) = A ( 2 , 7 )

The point B ( x₂ , y₂ ) = B ( 1 , 3 )

Now , the equation of line is given by

y - y₁ = m ( x - x₁ )

The slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

m = ( 7 - 3 ) / 2 - 1 )

m = 4

The equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 7 = 4 ( x - 2 )

y - 7 = 4x - 8

y = 4x - 1

The equation of line is y = 4x - 1

So , the points which satisfies the line is  A ( 2 , 7 ) and   B ( 1 , 3 )

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6x^2 – 13x + 6 = 2x^2 solve using quadratic formula

Answers

Answer:

[tex]x=\frac{13\pm\sqrt{73} }{8}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Step-by-step explanation:

Step 1: Define equation

6x² - 13x + 6 = 2x²

Step 2: Rewrite in Standard Form

Subtract 2x² on both sides:                    4x² - 13x + 6 = 0

Step 3: Define

a = 4

b = -13

c = 6

Step 4: Solve for x/roots

Substitute:                              [tex]x=\frac{13\pm\sqrt{(-13)^2-4(4)(6)} }{2(4)}[/tex]Exponent:                               [tex]x=\frac{13\pm\sqrt{169-4(4)(6)} }{2(4)}[/tex]Multiply:                                  [tex]x=\frac{13\pm\sqrt{169-96} }{8}[/tex]Subtract:                                 [tex]x=\frac{13\pm\sqrt{73} }{8}[/tex]

And we have our final answer!

Point Lis a centroid of the triangle FWD, If RL = 54 cm, what is RD?

O 81 cm
O 162 cm
O 100 cm
O 58 cm

Answers

Answer:

RD = 162 cm

Step-by-step explanation:

LD = 2 RL = 2* 54 = 108

RD = RL + LD

RD = 54 + 108

RD = 162 cm

The length of RD is 162 cm if Point L is a centroid of the triangle FWD, If RL = 54 cm option (B) is correct.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have:

Point L is a centroid of the triangle FWD, If RL = 54 cm

From the centroid definition:

LD = 2RL

LD = 2×54 = 108 cm

RD = RL + LD

RD = 54 + 108

RD = 162 cm

Thus, the length of RD is 162 cm if Point L is a centroid of the triangle FWD, If RL = 54 cm option (B) is correct.

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Is the following relation a function?


Need answer now

Answers

Answer: No, it is not a function

If you can draw a vertical line through more than one point on the curve, then it's not a function. In this case, we can draw such a line. The graph is said to have failed the vertical line test.

What this means is that some x inputs lead to more than one y outputs. A function is only possible if any x input leads to exactly one y output. The x input must be in the domain.

Answer:

It is not a function.

Step-by-step explanation:

A relation's inputs are not repeated in a function.

Since the graph fails the vertical line test, it is not a function.

See picture.

Hope this helps.

What happens when there is an unbalanced force acting?

This is for science

Answers

When there is an unbalanced force acting on an object, it changes its speed and/or direction of motion.

HELP I ONLY HAVE 5 MIN TO TURN THIS IN!!!!!!!!!!!

What are the simplified versions of the expressions shown below

WILL MARKBRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

see below

Step-by-step explanation:

1. (x² - 4x - 10) + (x² - 9x + 3)

=  x² - 4x - 10 + x² - 9x + 3

=  x² + x² - 4x - 9x + 3 - 10

= 2x² - 13x - 7

4. (3x² - x + 1) + (15 - 9x - 2x²)

=  3x² - x + 1 + 15 - 9x - 2x²

= 3x² - 2x² - x - 9x + 1 + 15

= x² - 10x + 16

7.  (6 - 2x + 7x²) - (10x - 3 + 3x²)

=   6 - 2x + 7x² - 10x + 3 - 3x²

=  7x² - 3x² - 2x - 10x + 6 + 3

=  4x² - 12x + 9

La ciudadde osaka japon se encuentra a (9x10 elevado a 6 )+ (6x10 elevado a 5)+ (8x10 elevado a 3+ (8x10 elevado a 2)+ 7x10 de milan italia
a) expresa los datos en kilometros
b)¿ que distancia habra recorrido un avion q salio de milan a osaka y se encuentra aun tercio de su destino???

Answers

Answer:

A

Step-by-step explanation:

The correct answer is A

The Pie Arsquare Bakery sold 869 pies during the month of January. What was the mean number of pies sold per day? (Hint: how many days are in January) Round to the nearest tenths. ​

Answers

Answer:

28

Step-by-step explanation:

divide 869 by the number of days in January

s
what is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?
x^2- 6x=-156​

Answers

Step-by-step explanation:

[tex] \\ x ^{2} - 6x = - 156 \\ x ^{2} - 6x + 9 = - 147 \\ (x - 3) ^{2} = - 147[/tex]

The completing the square for the given equation is (x-3)²= -147.

What is completing square method?

Steps

Step 1: Divide all terms by a (the coefficient of x2).

Step 2: Move the number term (c/a) to the right side of the equation.

Step 3: Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

The given equation is x²-6x=-156.

By completing square method,

b/2 = -3

⇒ (b/2)²=9

Now, add and subtract 9 to x²-6x=-156, we get

x²-6x+9-9=-156

⇒ (x-3)²=-156+9

⇒ (x-3)²= -147

Therefore, the completing the square for the given equation is (x-3)²= -147.

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PLZ HELP! THIS IS THE LAST QUESTION! 75 PTS!!

Answers

Answer:

its b or d

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

I give Brainliest!!
Using Angle Side Relationship Theorem, use the angle measures to list the side lengths of the triangle in order from longest to shortest. (First you must find the value of angle
AB BC AC

Answers

Answer:

side BCside ABside AC

Step-by-step explanation:

list the side lengths of the triangle in order from longest to shortest

from the given triangle.

find angle A

       ∠A = 180 - 65 - 30

      ∠A = 85

angle side relationship theorem:

In a triangle, the side opposite the larger angle is the longer side

∠A = 85 = side BC∠C = 65 = side AB∠B = 30 = side AC

I need help fast!

John bought some Nikes at Foot Locker. They were $289.89 and he got them on sale for 20% off.

1. What was the amount of the discount?

2. What did he pay for the Nikes?

Sam bought the same pair at another chain. His were $299.99 and 25% off.

3. What was Sam's discount/savings on his shoes?

4. What did he pay after the savings?

5. Who got the better deal? And by how much?

Answers

Answer:

John:discount was57.978, he paid231.912

Sam:discountwas74.9975, he paid 224.9925

Step-by-step explanation:

28.989=10

57.978 =20                 100%-20%= 231.912

29.999=10%

14.9995=5%             10%×2   + 5%=74.9975            100%-25%

Help me pleaseeeeee!!!!!

Answers

Answer:

A

Step-by-step explanation:

7. Solve the inequality.
4(x + 3) - 7 ≥ x + 3(x + 1) *
A. x<5
B. x > 3
C. no solution
D. all real numbers

Answers

Answer:

d) all real numbers

Step-by-step explanation:

Answer:

D. all real numbers

Step-by-step explanation:

4(x + 3) - 7 >= x + 3(x + 1)

4x + 12 - 7 >= x + 3x + 3

4x + 5 >= 4x + 3

5 >= 3 which is correct

so the solution are all real numbers.

I hope this helps you :)

what number is it on for the answer?

Answers

What do you mean? I don’t have a source to go by.

Answer:

um i cant answer this cuz there no question here

The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8500 ​ft, the liquid boils at 199.55 F. At an altitude of 4300 ​ft, the liquid boils at 206.69 F. Write an equation giving the boiling point b of the​ liquid, in degrees​ Fahrenheit, in terms of altitude​ a, in feet. What is the boiling point of the liquid at ​ft?

Answers

Answer:b = -0.0013a + 211

Step-by-step explanation:

Since the relationship is linear, we can use a linear equation. The formula in slope-intercept form is .

As the question specifies to use a for altitude and b for boiling point, change the variables equation to

b is the boiling point.

m is the slope.

a is the altitude.

c is the y-intercept.

To find the slope, we can use the equation  except x is a and y is b.

The sets of information given are:

8500 ​ft, the liquid boils at 199.95°  (This can be info set 1)

4300 ​ft, the liquid boils at 205.41°  (This can be info set 2)

Substitute the info sets into the equation. The subscripts mean which info set to get the numbers from.

m = -0.0013

Find the y-intercept by substituting m = -0.0013 and a random info set. I will use info set 1. Isolate c, the only variable.

b = ma + c

199.95 = (-0.0013)(8500) + c  <= Simplify

199.95 = -11.05 + c

199.95 + 11.05 = -11.05 + 11.05 + c  <=add 11.05 on both sides to isolate c

c = 211  <= y-intercept

Put the y-intercept and slope into the equation of a line:

b = ma + c

b = -0.0013a + 211 <= This is the equation for the problem.

Which set of line segments could create a right triangle?

Answers

As we know in a right angled triangle the sum of two sides will always be greater than the third side.

We will use the Pythagoras Theorem here:

c² = a² + b²; where c is the longest side.

The only segments satisfying this are

15, 36, 39

Answer:

4) 5, 12, 13

Step-by-step explanation:

Jaxon was asked 40 questions on a test he answered 80% incorrectly how many did he get correct

Answers

Answer:

8 correct.

Step-by-step explanation:

80 / 100 = x / 40    (Since he got 80% INCORRECT you will subtract the value of x from 40)

100x = 80 x 40

x = 3200 / 100

x = 32

40 - 32 = 8


PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

okaaaay. this is 10 units to the y axis...

Step-by-step explanation:

you can use the method “rise over run”. wherever the line touches a new box is where you stop. in this case, you go up two and over one. meaning your slope is 2.

can someone please help me with this question​

Answers

Answer:

16 the answer

Step-by-step explanation:

A student earns $70 over the summer. He spends 1 fraction of 5of the total amount on movies. He then spends 1 fraction of 2 of the remaining money on school clothes.

Answers

1/5 of 70 is 14
70-14 is 56
1/2 of 56 is 28
He has $28 left

What is the mode of the following numbers? 12, 11, 14, 10, 8, 13, 11,9​

Answers

Answer:

11 is the mode

Step-by-step explanation: it appears the most

I need to solve 11-20 ASAP pls

Answers

In num 11 the upper level just next to 26x-3 is 36x-3 and the lower level just next to 36x-3 is 26x-3 In num 20 the lower level of v is 96degrees so they prove the paralysme

Parallel lines have_slopes. Perpendicular lines have_ _ slopes ​

Answers

AnswerStep-by-step explanation:

Parallel and Perpendicular Lines. Parallel lines have the same slope and will never intersect. ... On the other hand, the slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 deg

help me plz. i would appreciate it.

Answers

Answer: Congruent

Explanation: 7 is an exterior angle and 4 is an interior angle therefore they’re congruent because neither are both exterior angles or interior angles
the answer would be congruent

science pls help I give brainliest

Answers

Answer:

rain

Step-by-step explanation:

its in the picture

The Dallas cowboys have lost 25% of their games, if they played 36 games how many have they lost

Answers

Answer: They have lost 9 games

Step-by-step explanation:

25 percent is 1/4 and do 36 divided by 4=9

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