Line segment AB¯¯¯¯¯¯¯¯ has endpoints A(−2,6) and B(4,−6). What are the coordinates of the point that partitions BA¯¯¯¯¯¯¯¯ according to the part-to-part ratio 2:4? Enter your answer as an ordered pair, formatted like this: (42, 53)

Answers

Answer 1

Answer:

(2, -2) are the coordinates of the point which divides BA into ration 2:4.

Step-by-step explanation:

The given two co-ordinates of A are (-2, 6) and B is (4, -6).

Let P be the point that divides the line BA into ratio 2:4.

to find coordinates of a point P on the line segment BA dividing it in a ratio 2:4, we can use segment formula.

[tex]x = \dfrac{mx_{2}+nx_{1}}{m+n}\\y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]

Where (x,y) is the co-ordinate of the point P which  

divides the line segment joining the points [tex](x_{1}, y_{1}) and (x_{2}, y_{2})[/tex] in the ratio m:n.

Please refer to the attached image.

As per the given values :

[tex]x_{1} = 4\\x_{2} = -2\\y_{1} = -6\\y_{2} = 6\\[/tex]

Putting the given values in above formula :

x-co-ordinate of P:

[tex]x = \dfrac{4 \times 4 -2 \times 2}{4+2}\\\Rightarrow \dfrac{12}{6}\\\Rightarrow x = 2[/tex]

y-co-ordinate of P :

[tex]y = \dfrac{4 \times -6 +2 \times 6}{4+2}\\\Rightarrow \dfrac{-24+12}{6}\\\Rightarrow \dfrac{-12}{6}\\\Rightarrow y = -2[/tex]

So, answer is P(2, -2).

Line Segment AB Has Endpoints A(2,6) And B(4,6). What Are The Coordinates Of The Point That Partitions

Related Questions

HEEELLLPPP!!! plssss

Answers

Answer:

as volume=lenght×width×height

volume=10ft×6.25ft×4.5ft

volume=62.5ft²×4.5ft

volume=281.25 cubic feet

Step-by-step explanation:

i hope this will help you :)

Which interval for the graft function has a local minimum of zero?

Answers

Answer:

[2,4]

Step-by-step explanation:

Use the Distributive Property to write each expression as an equivalent algebraic expression. (7 + a)3 Question 4 options: 3(7a) 21 + 3a 10 + 3a 7 + 3a

Answers

Answer:

(B)21+3a

Step-by-step explanation:

An expression is said to be distributive when:

[tex](a+b)c=a \cdot c+b \cdot c[/tex]

Given the algebraic expression: (7 + a)3

Applying the distributive property

[tex](7 + a)3 = 7 \cdot 3+a \cdot 3\\=21+3a[/tex]

An equivalent expression is 21+3a.

The correct option is B

Gill has five boxes that contain only red and yellow counters.
She takes a counter from a box without looking.
If the probability that she takes a red counter is 0.7, which box did she take it from? (1 mark)

Answers

Answer:

Box e

Step-by-step explanation:

14/20=0.7

Expand and then and then collect the following expression 3(a+2)+6(a+3)

Answers

Answer:

9a + 27

Step-by-step explanation:

=> 3(a+3) + 6(a+3)

Expand the brackets

=> 3a+9 + 6a+18

Combining like terms

=> 3a+6a+9+18

=> 9a + 27

Answer:

9a+24

Step-by-step explanation:

3a+6+6a+18

Simplify:

9a+24

two angles of a triangle measure 27 degrees and 17 degrees what is the measure of the third angle? A) 146 degrees B) 136 degrees C) 46 degrees D) 44 degrees

Answers

Answer:

The third angle is 136

Step-by-step explanation:

The three angles of a triangle add to 180

27+17+x = 170

Combine like terms

44+x = 180

Subtract 44 from each side

44+x-44 =180-44

x =136

Answer:

136° is the answer.

Step-by-step explanation:

given ,

1st angle=27°

2nd angle= 17°

let the third angle be x

then ,x+27°+17°=180°

or x+44°=180°

or, x=180_44

therefore the value of x is 136°.

1 1/4 3 1/2. additon

Answers

Answer:

19/4

Step-by-step explanation:

First convert 1 1/4 into a improper fraction:

5/4

Then convert 3 1/2 into a improper fraction:

7/2

Now find the LCM of both denominators:

4

Now multiply the fractions such that the denominators are equal to 4:

5/4 x 1/1 = 5/4

7/2 x 2/2 = 14/4

Now add the numerators:

5 + 14 = 19

Now put the numerator and denominator together to get:

19/4

Answer:

4 3/4

Step-by-step explanation:

1 1/4 +3 1/2 =

5/4 + 7/2=

5/4 + 14/4=

19/4= 4 3/4

Please answer this question now in two minutes

Answers

I hope this helps you

x+x-47=x+42

x=42+47

x=89°

Hey there! :)

Answer:

x = 89°.

Step-by-step explanation:

x + 42 is supplementary to the inside angle at the top of the triangle, so:

The top angle of the triangle is equal to:

180 - x - 42.

All of the angles in a triangle add up to 180°, therefore:

180 = x + x - 47 + 180 - x - 42

Combine like terms:

180 = 2x + 133 - x - 42

180 = x + 91

Subtract 91 from both sides:

89 = x.

Therefore, x = 89°.

MULTIPLY: 9(2x-7y) PLEASE HELP!!!!!!! ASAP!!!!!

Answers

Answer:

18x - 63y.

Step-by-step explanation:

9(2x-7y)

= 9 * 2x - 9 * 7y

= 18x - 63y

Hope this helps!

Answer:

Step-by-step explanation:

Distribute (multiply) the 9 to both the 2x and -7y

You get: 18x -63y        

This is because 9 times 2x is 18x. Furthermore, 9 times -7y is equal to             -63y

Which is true about the solution to the system of inequalities shown?
y 3x + 1
y 3x - 3
Only values that satisfy y 3x + 1 are solutions
Only values that satisfy y 3x3 are solutions
Values that satisfy either y a 3x + 1 orys 3x - 3 are solutions
There are no solutions

Answers

Answer:

There are no solutions

Step-by-step explanation:

need points for finals

Answer:

D.

Step-by-step explanation:

Please answer this question now in two minutes

Answers

Answer:

A. (8, -2)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x1+x2}{2} ,\frac{y1+y2}{2} )[/tex]

We are given midpoint and 1 endpoint, so simply set the equation and solve:

1 = (-6 + x)/2

2 = -6 + x

x = 8

2 = (6 + y)/2

4 = 6 + y

y = -2

y=-4x-5 y=3x-2 is (3,7) a solution of the system?

Answers

Answer:

No

Step-by-step explanation:

Does (3, 7) satisfy the first equation, y = -4x - 5?  Is 7 = -4(3) - 5 true?  NO.  Thus, (3, 7) cannot be a solution of the system

y=-4x-5

y=3x-2

The given point (3, 7) is not the solution in the given case.

What is a system of linear equations?

A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.

Given equations are as follows,

y = -4x - 5                                (1)

y = 3x - 2                                 (2)

In order to find whether (3,7) is the solution for them, substitute x = 3 and y = 7 in both the equations and check the LHS and RHS of both.

For equation (1),

y = -4x - 5  

LHS is y  = 7

RHS = -4x - 5

       = -4 × 3 - 5

       = -17

Since, LHS ≠ RHS, the given values of x and y are not the solution for the given equation.

Now, equation(2) need not to be checked as the result for the given values is already not valid for equation(1).

Hence, the given coordinate  (3,7) is not the solution for the given equations.

To know more about linear equation click on,

https://brainly.com/question/11897796

#SPJ2

BRAINLIEST IF YOU HELP the correct simplification of 7x2(6x + 3x2 − 4)? A 21x4 − 42x3 + 28x2 B 42x4 + 21x3 − 3x2 C 21x4 + 42x3 − 28x2 D 42x4 − 13x3 + 11x2

Answers

[tex]\text{Simplify:}\\\\7x^2(6x + 3x^2- 4)\\\\\text{Use the distributive property:}\\\\42x^3+21x^4-28x^2\\\\\text{You can arrange them by exponent}\\\\21x^4+42x^3-28x^2\\\\\text{This means that your answer will be C).} 21x^4 + 42x^3 - 28x^2\\\\\boxed{\text{C).}\,\,21x^4 + 42x^3 - 28x^2}[/tex]

Answer:

It is C

Step-by-step explanation:

Which of the following expressions is not equal to the others? 4ax2y 8ax y 2ayx4a ax 8y

Answers

Answer: 2ayx4a

Step-by-step explanation:

1) First, we will need to simplify each equation:

4ax2y = 8axy

8axy = 8axy

2ayx4a = 8ayx4a

ax8y = 8axy

2) We can now see that 2ayx4a is not the same as the others.

Danny deposits $100 for the first month with the amount increasing by 5% each month. What is the equation
that represents this situation?
y = 100(1+0.05)
y = 100(1+0.05)x
b. y = 100+ 0.05x
d. y = 100x + 0.05
a.
c.

Answers

Answer:

answer is b). y = 100+ 0.05x

Step-by-step explanation:

Four ounces of oregano and 2 ounces of garlic powder are mixed to create a poultry seasoning. Oregano costs $4 per ounce and garlic powder costs $3 per ounce. The table shows the costs of the ingredients.What is the value of y in the table?

Answers

There isn't an obvious question to this problem but with the given we can assume what is to be asked. I think we are to find the total cost of a certain poultry seasoning. The poultry seasoning would have a total weight of 4+2=6 ounces. The total cost will then have to be 4(4) + 2(3) = 22 dollars. 

Answer:

D. 6

Step-by-step explanation:

Got it correct on edg2020

I need answer ASAP

Annie wrote the following steps to solve a pair of equations: Step 1: y = −x − 5 y = 2x + 2 Step 2: 2y = −2x −10 y = 2x + 2 Which of the following shows the correct next step to solve the equations by eliminating x?
A. 3y = –5
B. 3y = –8
C. 3y = –12
D. 3y = –20

Answers

Answer:

The answer is B.

Step-by-step explanation:

2y = -2x - 10

y =    2x + 2 (combine like terms using addition)

_________

3y = -8

Help me on this question please (view attachment)

Answers

Answer:

70 degrees

Step-by-step explanation:

All angles in a triangle add up to 180 degrees.

x + 65 + 45 = 180

x + 110 = 180

x = 180 - 110

x = 70

The size of angle x is 70 degrees.

Answer:

70

Step-by-step explanation:

180-65-45=70

Good luck

help me please! i’m unsure of the formula and how to solve

Answers

Answer:

12.4 cm

Step-by-step explanation:

arc AB is calculated using

arc = circumference × fraction of circle

      = 2πr × [tex]\frac{90}{360}[/tex]

      = 2π × 7.9 × [tex]\frac{1}{4}[/tex]

       = [tex]\frac{7.9\pi }{2}[/tex] ≈ 12.4 cm ( to the nearest tenth )

Try to answer the following question without running the code in Python:

If we run the following program:
a = 2 + 6
b = 7 % 3
c = a - b
c = c * 5
print(c)

what gets printed?

Answers

Answer:

35

Step-by-step explanation:

Given

the above lines of code

Required

What's the output

We'll analyze the code line by line

a = 2 + 6

At this point a = 8

b = 7 % 3

At this point b = 1. This is so because, the remainder of 7%3 is 1

c = a - b

At this point c = 7;

This is calculated by c = 8 - 1 = 7

c = c * 5

At this point; c = 35

This is calculated by: c = 7 * 5 = 35

print(c)

The value of c, which is 35 is printed

Need help with this X y chart asap

Answers

Answer:

High Hopes <3

Barry

Identify any outlier(s) in the data.
{79, 75, 125, 61, 78, 63, 88, 76, 68, 82, 67}

Answers

Step-by-step explanation:

In my opinion 125 is an outlier because it is the only 3 digit number

What is the surface area of the right rectangular prism?

Answers

Answer:

Step-by-step explanation:

Answer =250

l Length  

10

w Width  

5

h Height  

5

Simplify the following expression.
(2x – 3)(5x⁴ – 7x³ + 6x² – 9)​

Answers

Answer:

10x⁵ - 29x⁴ + 33x³ - 18x² - 18x + 27

Step-by-step explanation:

All we have to do is distribute both terms of the binomial into the polynomial and combine like terms.

10x⁵ - 14x⁴ + 12x³ - 18x - 15x⁴ + 21x³ - 18x² + 27

10x⁵ - 29x⁴ + 33x³ - 18x² - 18x + 27

What is the domain of the function y= Vx+4

Answers

Answer:

y = √ x + 4

The domain of a function is the value in which you put in the function will make it undefined.

To find the domain equate the function to zero

That's

√x + 4 = 0

square both sides

x + 4 = 0

x = - 4

The domain of the function is x E R except - 4

Hope this helps

Answer:

Step-by-step explanation:

y=√x+4

domain is [0,∞)

range is [4,∞)

TRUE OR FALSE:
An isosceles trapezoid is a trapezoid with congruent legs.

Answers

Answer:

True

Step-by-step explanation:

If a quadrilateral (with one set of parallel sides) is an isosceles trapezoid, its legs are congruent.

Answer:

the correct answer is true

Step-by-step explanation:

An isosceles trapezoid is a trapezoid with congruent legs.=true

hope this helps you!!!!!!!!!!

Please answer this in two minutes fast

Answers

Answer:

(16,4)

Step-by-step explanation:

To go from M to S

(-4, 2.5)

Reverse

(16,4)

Answer:

work is shown and pictured

Please answer this question now fast in two minutes

Answers

Answer:

2 or 3

Step-by-step explanation:

2 is one of them

3 is another of them

PLZ SOLVE ASAP Solve for f. -11f=7(1-2f)+5

Answers

Answer:

f = 4

Step-by-step explanation:

Step 1: Distribute

-11f = 7 - 14f + 5

Step 2: Combine like terms

-11f = 12 - 14f

Step 3: Add 14f to both sides

3f = 12

Step 4: Divide both sides by 3

f = 4

Answer:

F = 4

solution,

-11f=7(1-2f )+5

Or -11 f = 7-14 f +5

Or -11 f +14 f = 5+7

Or 3 f = 12

Or f=12/3

F = 4

hope this helps...

good luck on your assignment...

Help please with the question

Answers

Answer:

try x=3.08

Step-by-step explanation:

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