what are the ex and Y coordinates of point E, which partition the directed line segment from A to B into a ratio of 1:2?

What Are The Ex And Y Coordinates Of Point E, Which Partition The Directed Line Segment From A To B Into

Answers

Answer 1

Answer:

Step-by-step explanation:

The formula for this is the one we use when we are given the ratio the directed line segment is separated into as opposed to the point being, say, one-third of the way from one point to another. The 2 equations we use to find the x and y coordinates of this separating point are:

[tex]x=\frac{bx_1+ax_2}{a+b}[/tex]  and  [tex]y=\frac{by_1+ay_2}{a+b}[/tex] where x1, x2, y1, y2 come from the coordinates of A and B, and a = 1 (from the ratio) and b = 2 (from the ratio). Filling in for x first:

[tex]x=\frac{2(2)+1(-4)}{1+2}=\frac{4-4}{3}=0[/tex] and then y:

[tex]y=\frac{2(-3)+1(9)}{1+2}=\frac{-6+9}{3}=\frac{3}{3}=1[/tex]

The coordinates of point E, then, are (0, 1).

Answer 2

Answer:

(-1,3)

Step-by-step explanation:

Mathematically, what we have to do here is to get the coordinates of the midpoint of the line AB

we have this as;

(x,y) = (x1 + y1)/2, (y1 + y2)/2

(x,y) = (-4+2)/2, (9-3)/2 = (-1, 3)


Related Questions

OAA', OBB', and OCC' are straight lines. Triangle ABC is mapped onto Triangle A'B'C' by an enlargement with center O. What is the scale factor of enlargement.​

Answers

Answer:

(D) 2

Step-by-step explanation:

The scale factor of the enlargement of ΔABC to ΔA'B'C' is given by the ratio of the length of the corresponding sides of ΔA'B'C' and ΔABC

Therefore, we have;

[tex]The \ scale \ factor = \dfrac{Length \ of \overline {B'C'}}{Length \ of \overline {BC}} = \dfrac{Length \ of \overline {A'C'}}{Length \ of \overline {AC}} = \dfrac{Length \ of \overline {A'B'}}{Length \ of \overline {AB}}[/tex]

[tex]\dfrac{Length \ of \overline {B'C'}}{Length \ of \overline {BC}} = \dfrac{2 \ units}{1 \ unit} = 2[/tex]

[tex]\dfrac{Length \ of \overline {A'C'}}{Length \ of \overline {AC}} = \dfrac{4 \ units}{2 \ units} = 2[/tex]

[tex]\dfrac{Length \ of \overline {A'B'}}{Length \ of \overline {AB}} = \dfrac{2 \cdot \sqrt{5} \ units}{\sqrt{5} \ units} = 2[/tex]

Therefore, the scale factor = 2

April measured her bed and made a scale drawing. The scale of the drawing was 1
centimeter = 6 inches. In the drawing, the bed is 10 centimeters long. What is the
length of the actual bed?

Answers

60 inches = 5 feet long

An elevator is moving up at a rate of 5 feet each second. The elevator is now at street level. When will the elevator be 30 feet above street level? Write a division sentence using integers to represent this situation.

Answers

Answer:

Time = (30 ÷ 5) seconds

Step-by-step explanation:

It is moving up at the rate of 5 ft/s.

This means;

Distance moved ÷ time taken = 5 ft/s

Thus, for a distance of 30 ft above street level, the time taken will be calculated from

30 ÷ time taken = 5

Time to reach the given distance = 30 ÷ 5

In division sentence, it is composed of division symbol and equal to sign.

In order to solve a quadratic equation by completing the square, what does the coefficient of the squared term need to be? If the coefficient is not equal to this, what does your first step need to be to complete the sqaure?

Answers

Answer:

For completing the square, you need the coefficient of the x^2 term to be 1.

http://www.1728.org/quadr2.htm

Step-by-step explanation:

Dilate ΔABC by a factor of 2 (with the origin as the center of dilation) to form ΔA′B′C′. Measure the side lengths of the dilated triangle. Confirm that the ratio of corresponding side lengths of ΔABC and ΔA′B′C′ is equal to the scale factor of the dilation.

Answers

Answer:

Step-by-step explanation:

This is from PLATO

add: -38+6+27+(-8)+126

Answers

Answer:

113

Step-by-step explanation:

Which translation vectors could have been used for the pair of
figures?
Select each correct answer.

Answers

left top and left bottom

Match the measures of each angle

Answers

Polygons, Number of sides, Measure is angles, and angle sums

What should the following equation be multiplied by in order to eliminate the fractions?

Answers

Answer:

6

Step-by-step explanation:

To figure out what needs to be multiplied, we need to find the least common denominator. By finding this, we know that what we multiply the equation with will be a multiple of each denominator, meaning that there will be no fractions left.

We can find the least common denominator by listing multiples of each fraction, and finding which one is the smallest but still in each list.

3: 3, 6, 9, 12...

2: 2, 4, 6, 8...

6: 6, 12, 18, 24...

We can notice that 6 is the lowest number in each list. Therefore, 6 is our least common denominator, and if we multiply by 6, the fractions will be removed.

Answer:

6

Step-by-step explanation:

I took the quiz and got it correct.

can anyone answer this? (2y²-3xy)÷y.​

Answers

the answer would be y x(2y-3x)

Answer:

2y - 3x

Step-by-step explanation:

Given

(2y² - 3xy) ÷ y

Divide each term on the numerator by y , that is

[tex]\frac{2y^2}{y}[/tex] - [tex]\frac{3xy}{y}[/tex] ( cancel y on numerator/ denominator of both fractions )

= 2y - 3x

P=(2,3,5,7) Express it in description method and in rule method.​

Answers

Answer:

prime number between 1 to7

The description of set P is the set of prime numbers less than or equal to 7 and the rule is {x | x is a prime number less than or equal to 7}

How to describe the set of P?

The set P is given as:

P = {2,3,5,7}

Note that the numbers are prime numbers.

This means that the description of set P is the set of prime numbers less than or equal to 7

The rule form of the set would be:

P = {x | x is a prime number less than or equal to 7}

Read more about sets at:

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What is the equation of the line graphed below?

Answers

Answer:

y=2/5x

Step-by-step explanation:

Rise over run: you rise by 2, run by 5. Or you can use the slope formula: m=y2-y1/x2-x1

2-0/5-0=2/5=m

Three consecutive odd integers have a sum of 27. Find the integers.

Answers

[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]

Sum of three consecutive odd integers = [tex]27[/tex]

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]

The values of the three integers.

[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]

[tex]\sf\purple{The\:three\:consecutive \:odd\:integers\:are\:7,\:9\:and\:11.}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

Let us assume the three consecutive odd integers to be [tex]x[/tex], [tex](x+2)[/tex] and [tex](x+4)[/tex].

As per the condition, we have

[tex]Sum \: \: of \: \: the \: \: three \: \: consecutive \: \: odd \: \: integers = 27[/tex]

[tex]➺ \: x + (x + 2) + (x + 4) = 27[/tex]

[tex]➺ \: x + x + 2 + x + 4 = 27[/tex]

Now, collect the like terms.

[tex]➺ \: (x + x + x) + (2 + 4) = 27[/tex]

[tex]➺ \: 3x + 6 = 27[/tex]

[tex]➺ \: 3x = 27 - 6[/tex]

[tex]➺ \: 3x = 21[/tex]

[tex]➺ \: x = \frac{21}{3} \\[/tex]

[tex]➺ \: x = 7[/tex]

Therefore, the three consecutive odd integers whose sum is [tex]27[/tex] are [tex]\boxed{ 7 }[/tex], [tex]\boxed{ 9 }[/tex] and [tex]\boxed{ 11 }[/tex] respectively.

[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]

[tex]⇢ 7 + 9 + 11 = 27[/tex]

[tex]⇢ 27 = 27[/tex]

⇢ L. H. S. = R. H. S.

[tex]\sf\blue{Hence\:verified.}[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]

Soso need help !
Plzzz n where can I find the answers to these pretest ain’t nobody got time for doin tha whole lesson lol thx xoxo

Answers

Same here so I’m going to help you out I’m pretty sure the answer is A all the other answers are not adding up so I’m pretty sure it’s A

álgebra 1
− 0.32 + 0.18 = 0.25 − 1.95

Answers

Answer:

i don't understand the question

50 points and brainless
1. In a board game, you must roll two 6-sided number cubes. You can only start the game if you roll a 3 on at least one of the number cubes.
(a) Make a list of all the different possible outcomes when two number cubes are rolled.

(b) What fraction of the possible outcomes is favorable?

(c) Suppose you rolled the two number cubes 100 times, would you expect at least one 3 more or less than 34 times? Explain. Answer:

Answers

Answer:

The answer for (a) is

1, 1     2, 2    3, 3    4, 4    5, 5    6, 6

1, 2    2, 3    3, 4    4, 5    5, 6

1, 3    2, 4    3, 5    4, 6

1, 4    2, 5    3, 6

1, 5    2, 6

1, 6    

The answer for (b) is 6/21 or 0.285714286

The answer for (c) is Less than. {its in the explanation}

===================================================================

Explanation:

(a)- Its not really hard, it just takes a bit of time.

(b)- The total number of possibilities is 21. Favorable outcomes would have a 3 as one of the dice, and only 6 of the 21 outcomes has a 3. (they are in bold)

There are only 21 possible outcomes because the prompt says "Make a list of all the different possible outcomes." For example: I have 3, 4 as an outcome, but not 4, 3 because that would be the same outcome.

(c)- Less than, because the possibility of getting an outcome with at least one 3 is only 0.285714286. If you multiply that by 100, thats only 28.5714286, or 29, still less than 34.

Which expressions are equivalent to the one below? Check all that apply.
7*3.7^x
A. 73-*
B. 493x
C. 343.7
D. (7.7)3
E. 73x
F. 73 + x

Answers

Answer: ur answer is correct ❤️

Step-by-step explanation:

At what rate of simple interest a certain sum will be doubled in 15 years?

Answers

Answer:

6.66 % per year.

Step-by-step explanation:

Hope it help you

Answer:

66 percent per year

Step-by-step explanation:

I hope this will help you

pls add me as brainliest.

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

5.3938654741

Step-by-step explanation:

x=5.1/cos(19) = 5.39386547405

The value of the variable 'x' using the cosine formula will be 5.4 units.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The value of 'x' is given by the cosine of the angle ∠LKM. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have

cos 19° = 5.1 / x

x = 5.4

The value of the variable 'x' using the cosine formula will be 5.4 units.

More about the right-angle triangle link is given below.

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Will mark brainlest helpppp pleaseeeee​

Answers

Answer:

come to mya massanger dk khanal fb user

Step-by-step explanation:

i will teach you by sending picture

Which graph represents the function of f(x) = 4x² - 4x -8/2x+2.​

Answers

Answer:

I think that second option represents the function of f(x) = 4x² - 4x -8/2x+2.

Help me please on hegarty maths

Answers

Answer:

29.5cm^2

Step-by-step explanation:

3 × 4 = 12

4 × 2.5 = 10

3 × 2.5 = 7.5

12+10+7.5=29.5

How can you represent 1/2 on a 10-by-10 grid?

Answers

Answer:

Represent 1/2 by covering 50 squares.

Step-by-step explanation:

There are 100 squares in a 10-by-10 grid.

1/2 of 100 is 50, so you should cover 50 squares out of 100 squares.

Can you please tell me the answer step by step??​

Answers

Answer:

a)4

Step-by-step explanation:

(a+b)²=43 eqn 1

(a²+b²)=35 eqn 2

solving eqn 2 by putting the value of (a+b)² by eqn 1

(a+b)²-2ab=3543-2ab=35-2ab=35-43ab= -8/-2ab =4

hope it helps

stay safe healthy and happy.

find the slope of the line passing through the points (-2,5) and (3/2,2)

Answers

Answer:

slope = - [tex]\frac{6}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = ([tex]\frac{3}{2}[/tex], 2)

m = [tex]\frac{2-5}{\frac{3}{2}-(-2) }[/tex]

   = [tex]\frac{-3}{\frac{3}{2}+2 }[/tex]

   = [tex]\frac{-3}{\frac{7}{2} }[/tex]

  = - 3  × [tex]\frac{2}{7}[/tex]

  = - [tex]\frac{6}{7}[/tex]

the question is in the picture below

Answers

Answer:

$843.67

Step-by-step explanation:

We can use a proportion to solve this problem:

12 : 100 = x : 896

x =(896 * 12)/100 = $107,52

896 - 107.52 = $788,48 (price of the computer after the discount)

7 : 100 = x : 788,48

x = (788,48 * 7)/100 = $55,1936

788.48 + 55,1936 = 843,6736 = $843.67 (final price)

If AABC~ DEF and the scale factor from ABC to DEF is , what are the lengths of DE, EF, and DF, respectively?​

Answers

Step-by-step explanation:

we don't see a picture, and you don't not give us any detailed information (all specific numbers like the scale factor are missing in your text). so, it is impossible to calculate anything.

but you can do it yourself very easily.

let's call the same factor "f".

that means you have to multiply the side lengths of every side of ABC by that factor f to get the cushions side lengths is the sides in DEF.

that's it.

that's all that has to be done.

so, assuming that A -> D, B -> E, C -> F

then

AB × f = DE

BC × f = EF

CA × f = FD

as I said - that's it. just use the actual numbers and multiply.

All the lengths of DE, EF, and DF are, 4 , 8 and 12 respectively.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle ABC and DEF are similar.

And, the scale factor from ABC to DEF is 2.

Now, We get;

This means that each side of the triangle ABC were multiplied by the scale factor 2 in order to get the triangle DEF.

Based on the above, you can set up the following equations;

⇒ DE = 2AB

⇒ EF = 2BC

⇒ DF = 2CA

Finally, substituting the corresponding lengths of the triangle ABC into the equations, and then evaluating, you get the following result:

⇒ DE = 2 x 2 = 4

⇒ EF = 2 x 4 = 8

⇒ DF = 2 x 6 = 12

Thus, All the lengths of DE, EF, and DF are, 4 , 8 and 12 respectively.

Learn more about the triangle visit;

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Question 2: use the image and your knowledge of the isosceles triangle to find the value of x

Answers

Answer:

x is 66 degrees

Step-by-step explanation:

since its a isosceles, two of the angles should be the same.

help please!! first answer gets marked brainliest!

Answers

Answer:

Answer 30

Step-by-step explanation:

if you need to solve or see step- by step explanation here's a link https://mathsolver.microsoft.com/en/solve-problem/%60sqrt%7B%2050%20%20%7D%20%20%20%60times%20%203%20%60sqrt%7B%202%20%20%7D

r(x)=2[tex]r(x)=2[/tex]

Answers

Answer:

Slope =0

y-intercept = (0,2)

I'm not really sure what you need to find.

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