10. What are the coordinates of point on the directed segment from A(2,-3) to B(8,-6) that
partitions the segment such that AC:CB is 4:2?
(1) (6,-5)
(3) (2,0)
(2) (-2, 2)
(4) (1, 1)

Answers

Answer 1

Answer:

(4, -4)

Step-by-step explanation:

Using the midpoint formula;

M(X,Y) = {(ax1+bx2)/a+b, (ay1+by2)/a+b}

X = (ax1+bx2)/a+b

Y = (ay1+by2)/a+b

Substitute

X = 4(2)+2(8)/4+2

X = 8+16/6

X = 24/6

X = 4

Also

Y = 4(-3)+2(-6)/6

Y = -12-12/6

Y = -24/6

Y = -4

Hence the required partition is (4, -4)


Related Questions

What’s the value of x?
G

53°
45
H


Answers

Answer:

x = 98°

Step-by-step explanation:

95 + 53 + (180 - x) = 180

148 + 180 - x = 180

328 - x = 180

328 - x + x = 180 + x

x + 180 = 328

x + 180 - 180 = 328 - 180

x = 98°

The required measure of the remote exterior angle x is 98°.

Given that,

A triangle has shown,
Where two remote interior angles with measures 45° and 53° are given and a remote exterior angle with measure x is given, we have to determine the value of x.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is the angle?

The orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
There is a property of a triangle that, the sum of the remote interior angle is equal to the measure of the remote exterior angle. So,
x = 53 + 45
x = 98°

Thus, the required measure of the remote exterior angle x is 98°.

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I need some help; if you don't know the answer, don't answer

Answers

Answer:

B is the right answer and if you want learn this, than learn algebric expression

B is the answer for the question

A group of students were surveyed to find out if they like playing tennis or volleyball in PE class. The results are shown in the table:
Complete the table and answer the following questions.

a. What percentage of the total students surveyed like both
Volleyball and Tennis?

b. What is the probability that a student who likes
Volleyball does not like Tennis?

Answers

Answer:

a) 41.666...%

b) 10/120 or 1/12

Step-by-step explanation:

50 students like volleyball and tennis out of 120 students surveyed. 50/120 as a percent is 41.6666666...%

10 students like volleyball but not tennis out of 120 students surveyed. 10/120 can also simplify to 1/12

:) ur welcome

HELP PLZ

Does the Graph Represent A Function? Why Or Why Not?

Answers

Answer:

C

Step-by-step explanation:

Answer:

hi its c because its not a traight line

Step-by-step explanation:

help asap pls ----------------------------------- Also tell me the graph from the second/third photo not the equation

Answers

Answer:

graph "B"

at 0 graph = -1200 that is the production cost

Step-by-step explanation:

llus
Find the value of x that makes A || B.
2
4
3
5
Z2 = 2x + 10 and 24 = 4x + 80
x = [?]
Enter

Answers

Answer:

Step-by-step explanation:

If A is parallel to B, then angles 2 and 4 are same side interior and they are supplementary. Thus,

2x + 10 + 4x + 80 = 180 and

6x = 90 so

x = 15

What is the ans of this?​

Answers

Step-by-step explanation:

everything can be found in the picture

What decimal is equivalent to 1/8

Answers

Answer:

0.125

Step-by-step explanation:

Becuase math

what is the degree of the polynomial. 5x²+8x²- 4x⁴+x. (a) 2 (b) 1 (c) 4 (d) 8​

Answers

Answer:

4

Step-by-step explanation:

5x²+8x²- 4x⁴+x

The degree is the highest power

The highest power is 4

The degree is 4

Which function is positive for the entire interval [–3, –2]?

On a coordinate plane, a curved line with a minimum value of (0, negative 3) crosses the x-axis at (negative 3, 0) and (3, 0), and crosses the y-axis at (0, negative 3).

On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5).

On a coordinate plane, a curved line with a minimum value of (2, 4) and a maximum value of (0.5, 6), crosses the x-axis at (negative 1.5, 0) and crosses the y-axis at (0, 5).

On a coordinate plane, a curved line with a minimum value of (negative 1.75, negative 3.9) and a maximum value of (0, 2), crosses the x-axis at (negative 2.2, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).

Answers

Answer:

B

Step-by-step explanation:

Based on the given information, option 4 seems to be the most likely candidate to be positive for the entire interval [-3, -2]. Correct option is 4.

To determine which function is positive for the entire interval [-3, -2], we need to look for the part of the curve that lies above the x-axis within this interval.

The curve has a minimum value of (0, -3) and crosses the x-axis at (-3, 0) and (3, 0), which means it goes below the x-axis in the interval [-3, -2]. So, this option is not positive for the entire interval.

The curve has a minimum value of (2, -3) and crosses the x-axis at (-1, 0) and (5, 0). Since it crosses the x-axis at -1 which is outside the interval [-3, -2], this option is not positive for the entire interval.

The curve has a minimum value of (2, 4) and a maximum value of (0.5, 6). Since the minimum value is above the x-axis, this option is not positive for the entire interval.

The curve has a minimum value of (-1.75, -3.9) and a maximum value of (0, 2). It also crosses the x-axis at (-2.2, 0), (-0.75, 0), and (0.75, 0). Since the minimum value is above the x-axis, and all the points where it crosses the x-axis are outside the interval [-3, -2], this option could potentially be positive for the entire interval.

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Figure ABCD is a rhombus.

Rhombus A B C D is shown. Angle A is (5 x + 25) degrees and angle D is (7 x minus 1) degrees.

What is the value of x?

13
14
26
28

Answers

X=13

You can set it up as (5x+25)+(7x-1)=180 or 5x+25=7x-1 and both equal 13

The value of x is 13 in the rhombus ABCD

What is Quadrilateral?

A quadrilateral is a four-sided polygon, having four edges and four corners

In figure ABCD is a rhombus

Given as Angle ∠ A = (5x + 25)

Angle ∠ D = (7x - 1)

Since adjacent angles of a rhombus add up to 180°

(5x + 25) + (7x - 1) = 180 and both equal

So, 5x + 25 = 7x - 1

Rearrange the terms in the equation,

7x - 5x = 1 +25

2x = 26

x = 13

Hence, the value of x is 13 in given figure.

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A rectangle has a length that is 8 less than it’s width w the perimeter is 52 which equation can be used to determine length

Answers

Answer:

width?

8-W-52

2(w-8) +2w=52

(W-8)+W=52

2(8-W) +2w=52

An object starts at position 12 on a horizontal line with a reference point of 0. What is the position of the object if it
moves 14 units to the left?
0-26
-2.
02
O 26

Answers

Answer:

The answer would be B

Answer:

-2

Step-by-step explanation:

We know that the object is at 12 on a horizontal line.

The horizontal line of a graph is the x axis, so lets think of 12 as 12x

On a graph, left is negative, and right is postive.

In this case we need to move 14x to the right, or -14x.

We start at 12x, so its going to be:

12x-14x=-2x

So -2 is the postition of the object on the x axis.

This is answer B.

Hope this helps!

the perimetee are 81cm and the ratio sides are 2:3:4 find the area of triangle​

Answers

Answer: 18,27,36

Step-by-step explanation: We have to add all the ratios to get 9 and then divide 81 by 9 and get 9. The multiple 2, 3 and 4 by 9 getting 18, 27 and 36 respectively.

What is an equation of the line that passes through the point (-6,5) and is parallel
to the line 2 - 3y = 21?

Answers

Answer:

y=1/3x+7

Step-by-step explanation:

Hi there!

We're given the equation x-3y=21 and we want to find the equation of the line parallel to x-3y=21 that passes through (-6,5)

Parallel lines have the same slopes, but different y intercepts

So we need to find the slope of x-3y=21

To do that, we can convert x-3y=21 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).

We'll need to isolate y onto one side

subtract x from both sides

-3y=-x+21

divide both sides by -3

y=1/3x-7

1/3 is in the place where m is, so 1/3 is the slope of the line

it's also the slope of the line parallel to x-3y=21

here's the equation of the line parallel to x-3y=21 so far:

y=1/3x+b

we need to find b

as the line passes through (-6,5), we can use it to solve for b

substitute -6 as x and 5 as y

5=1/3(-6)+b

multiply

5=-2+b

add 2 to both sides

7=b

Substitute 7 as b into the equation

y=1/3x+7

Hope this helps!

What is the relative frequency (to the nearest percent) of boys among those who cannot bike to school

Answers

Answer:

29%

Step-by-step explanation:

From the two way table given : the relative frequency of boys among those who cannot bike to school ;

Here, we are only concerned with thilose who cannot Bikento school and not all of the data :

The relative frequency of boys among those who cannot bike to school is :

Number of boys who can't bike to school / total number of people who can't bike to school

Number of boys who can't bike = 4

Total who cannot bike = 14

Hence, 4 /14 = 0.2857142

0.2857142 * 100% = 28.57% = 29% (nearest percent)

PLEASE HELP, WILL GIVE BRAINLIEST FOR RIGHT ANSWER!
Indicate the equation of the given line in standard form, writing the answer in the equation box below.

The line that contains the point Q (1, -2) and is parallel to the line whose equation is
y − 4 = 2/3 ( x − 3)

Answers

Find gradient by changing form of equation: y = 2/3x + 4. Gradient is 2/3.

Find y intercept of other line by substituting the coordinates: -8/3

Use information to write out equation of line: y= 2/3x - 8/3

Convert to standard form: -2x + 3y = 8.

Hope this helps :)

Answer:

my previous account deleted...how r u sadie??

I’m begging you too pls pls pls pls help! I’d appreciate it so much. This is independent work and I have no clue of what this means so pls comment as fast as u can because according to my teacher this was supposed to be due yesterday and I’m just doing it today. Pls help thank you so so so much! Pls don’t waste time thanks again!

Answers

1) 1 hour and 15 minutes

2) 4:07

3) 30 minutes

4) 8:35

9) 1 hour and 53 minutes

10) 4:17

11) 2 hours and 52 minutes

12) 3:35

13) 9:55

14) 8:10

15) 1 hour and 45 minutes

16) 3:05

17) 6:48

18) 9:45

19) 1 hour and 25 minutes

20) 2 hours and 45 minutes

Brainliest would be appreciated :)

what is the nth term of 1/3 4/7 7/11 2/3 ​

Answers

Answer:

[tex]\frac{1+3(n-1)}{3+4(n-1)}[/tex]

Step-by-step explanation:

First find the pattern.

1/3 gets 5/21 added to it but doing that to 4/7 does not get 7/11, so it's nto normal adding.

if you multiply 1/3 gets 12/7, but if you multiply that by 4/7 you don't get 7/11 so it's not normal multiplcation.

I would next try only adding to the numerator and denominator separately.  

so 1/3 gets 3 added to the 1 and 4 added to the 3.  Doing that again gets us (4+3)/(7+4) = 7/11 and doing it again gets us 10/15 = 2/3.  So that is the right answer.

So we know what is happening.  if you start with 1/3 and increasingthe numerator by 3 and denominator by 4 then we know it's going to look like (1+3(n-1))/(3+4(n-1)) because the first term  is when n=1 and we want that to cancel out.  You can also simplify it and get (3n-2)/(4n-1)

Let me know if it doesn't make sense.  

Worth 10 pts
Plssssssssssssssssss help
Will give brainliest

Answers

Answer:  [tex]2\sqrt{2}+\sqrt{3}\\\\[/tex]

a = 2 and b = 1

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

Explanation:

Set the expression equal to the given form we want. Then square both sides so we get rid of the outer-most square root

[tex]\sqrt{11+4\sqrt{6}} = a\sqrt{2}+b\sqrt{3}\\\\\left(\sqrt{11+4\sqrt{6}}\right)^2 = \left(a\sqrt{2}+b\sqrt{3}\right)^2\\\\11+4\sqrt{6} = \left(a\sqrt{2}\right)^2+2*a\sqrt{2}*b\sqrt{3}+\left(b\sqrt{3}\right)^2\\\\11+4\sqrt{6} = 2a^2+2ab\sqrt{2*3}+3b^2\\\\11+4\sqrt{6} = 2a^2+3b^2+2ab\sqrt{6}\\\\[/tex]

In the third line, I used the rule that (x+y)^2 = x^2+2xy+y^2

-------------------

At this point, we equate the non-radical and radical terms to get this system of equations

[tex]\begin{cases}11 = 2a^2+3b^2\\ 4\sqrt{6} = 2ab\sqrt{6}\end{cases}[/tex]

The second equation turns into 4 = 2ab when we divide both sides by sqrt(6)

Then 4 = 2ab turns into ab = 2 after dividing both sides by 2.

We're told that a,b are rational numbers. Let's assume that they are integers (which is a subset of the rational numbers).

If so, then we have these four possibilities

a = 2, b = 1a = -2, b = -1a = 1, b = 2a = -1, b = -2

If a,b are negative, then you'll find that [tex]a\sqrt{2}+b\sqrt{3}[/tex] overall is negative. But this contradicts that [tex]\sqrt{11+4\sqrt{6}}[/tex] is positive. So a,b must be positive.

Let's assume that a = 1 and b = 2. If so, then,

2a^2+3b^2 = 2(1)^2+3(2)^2 = 14

but we want that result to be 11 instead.

Let's try a = 2 and b = 1

2a^2+3b^2 = 2(2)^2+3(1)^2 = 11

which works out perfectly.

Therefore,

[tex]\sqrt{11+4\sqrt{6}} = 2\sqrt{2}+\sqrt{3}\\\\[/tex]

---------------------------------

Checking the answer:

Use a calculator to find that

[tex]\sqrt{11+4\sqrt{6}} \approx 4.5604779\\\\2\sqrt{2}+\sqrt{3} \approx 4.5604779\\\\[/tex]

both have the same decimal approximation, so this is a fairly informal way to confirm the answer.

Another thing you can do is to take advantage of the idea that if x = y, then x-y = 0

So if you want to see if two things are equal, you subtract them. You should get exactly 0 or something very small (pretty much equal to 0).

Describe the graph of the proportional relationship between the two quantities and describe how the unit rate is represented on the graph. Bananas are $2.40 per pound.

a
The graph of y = 24x , which is a line passing through (0, 0) with a slope of 24; the slope 24 is the unit rate of each pound of bananas.

b
The graph of y = 2.4x , which is a line passing through (0, 0) with a slope of 2.4; the slope 2.4 is the unit rate of each pound of bananas.

c
The graph of y = 5.8x , which is a line passing through (0, 0) with a slope of 5.8; the slope 5.8 is the unit rate of each pound of bananas.

d
The graph of y = 2.4 + x , which is a line passing through (0, 0) with a slope of 2.4; the slope -2.4 is the unit rate of each pound of bananas.

Answers

Given:

Bananas are $2.40 per pound.

To find:

The graph and unit rate on the graph.

Solution:

Let y be the total cost of x pounds of bananas.

Cost of 1 pound of banana = $2.40

Cost of x pound of bananas = $2.40x

So, the required equation for the given situation is:

[tex]y=2.4x[/tex]

The graph of [tex]y=2.4x[/tex] describes the proportional relationship between the two quantities.

The graph of [tex]y=2.4x[/tex] is a line passing through (0, 0) with a slope of 2.4; the slope 2.4 is the unit rate of each pound of bananas.

Therefore, the correct option is (b).

Answer:

a

Step-by-step explanation:

Which point satisfies both f (x) = 2X and g(x) = 3?

Answers

Answer: uhh 76t4

Step-by-step explanation: words here

What is 2x/3 - 4 =x ?

Answers

Step-by-step explanation:

2x/3 -4 = x

multiply both side by 3

2x - 12 = 3x

-x = 12

x = -12

The ice cream cone has a radius of 3 cm and a height of 10 cm. If the scoop of ice cream is a sphere with radius of 3.5 cm, will all of the ice cream fit inside the cone?

Answers

Answer:

No, ice cream cannot fits inside the cone.

Step-by-step explanation:

radius of cone, r = 3 cm

height of cone, h = 10 cm

radius of ice cream sphere, R = 33.5 cm

The volume of the cone is

[tex]V =\frac {1}{3}\times \pi\times r^{2}\times h\\\\V = \frac{1}{3}\times 3.14\times 3\times 3\times 10\\\\V =94.2cc[/tex]

Volume of ice cream

[tex]V' =\frac{4}{3}\pi\times r^{3}\\\\V'= \frac{4}{3}\times 3.14\times 3.5^{3}\\\\V' = 179.5cc[/tex]

As the volume of ice cream is more than the volume of cone, so it cannot fit into the cone.

please help me solve this problem one problem for 15 points

Answers

i didn't get it what is the question

Does this graph represent a function? Why or why not?

Answers

Answer:

B yes, because it pases the vertical line test

what is the scale factor from figure a to figure b

Answers

Scale factor from figure a to figure b = DIVIDE BY 3

{Check:- 33/3 = 11 & 15/3 = 5}

hope this helps :)

Answer:

1/3

Step-by-step explanation:

These two quadrilaterals are similar because figure A's sides are 3 times figure B's sides. Figure A's bottom is 15, while figure B's bottom is 5. To get from 15 to 5, we multiply by 1/3. This is the scale factor. All the other sides of figure A are also 3 times bigger than figure B's.

What is the sum of the fractions? Use the number line to help find the answer.|
+
5

Answers

Answer:

-4/5

Step-by-step explanation:

If you use the number line, after adding 3/5 you can see that it still doesn't make it positive but brings it up to -4/5 (Hope this helps)

Answer:

You subtract them:

3/5-7/5 (the plus disappears when faced with a minus)

-4/5

b = 9, c = 16

a =

help please ;(

Answers

Answer:

right triangle ?

a = 13.288 ?

Step-by-step explanation:

[tex]c^{2}[/tex] - [tex]b^{2}[/tex] = [tex]a^{2}[/tex]

256 - 81 = 175

[tex]\sqrt{175}[/tex] = 13.288

Quadrilateral ABCD has coordinates A(3,-5), B(5,-2), C(10,-4), D(8,-7). Quadrilateral is a

Answers

Answer:

Quadrilateral is another word for a shape with four sides.

Step-by-step explanation:

Answer:

Parallelogram

Step-by-step explanation:

AB=CD

AD=BC

BD not equal to AC (Diagonals are not equal)

AB not equal to BC (Adjacent sides are not equal)

Thus the quadrilateral is parallelogram

Brainliest please

Other Questions
the single discount of two successive discounts 10% and 5% is [tex]8 \times {2}^{n + 2} = 32[/tex]What is the value of n Complete each statement by using the appropriate word or phrase from the list. Then place the statements in the order of an action potential repolarization event. 1. Through the activated channels, _________ now flows outwards causing the membrane to repolarize back towards RMP. 2. As the membrane potential ___________, the voltage-regulated sodium channels begin closing which in turn reduces the sodium movement to the ICF 3. With a larger duration of activation than sodium channels, the potassium channels allow for a greater movement of potassium to the ECF causing a short period of_______. 4. With membrane potentials approaching +35 mV, the _________channels become fully activated.a. Sodiumb. Voltage regulate sodiumc. Potassiumd. Rises towards zeroe. Hyperpolarizationf. Voltage regulated potassium Sandhill Warehouse distributes hardback books to retail stores and extends credit terms of 2/10, n/30 to all of its customers. During the month of June, the following merchandising transactions occurred. June 1 Purchased books on account for $2,575 (including freight) from Catlin Publishers, terms 2/10, n/30. 3 Sold books on account to Garfunkel Bookstore for $1,300. The cost of the merchandise sold was $900. 6 Received $75 credit for books returned to Catlin Publishers. 9 Paid Catlin Publishers in full. 15 Received payment in full from Garfunkel Bookstore. 17 Sold books on account to Bell Tower for $1,150. The cost of the merchandise sold was $750. 20 Purchased books on account for $900 from Priceless Book Publishers, terms 3/15, n/30. 24 Received payment in full from Bell Tower. 26 Paid Priceless Book Publishers in full. 28 Sold books on account to General Bookstore for $1,900. The cost of the merchandise sold was $970. 30 Granted General Bookstore $130 credit for books returned costing $90.Required:Journalize the transactions for the month of June for Sandhill Warehouse, using a perpetual inventory system. list 5 uses of computer Mention at least two amendments and explain how they can be interpreted to be applicable to the case Roe v. Wade Stationary points. Help ASAP please. Thanks .............. is influenced by economic growth and development by technological change. 10. Which of the following is NOT a reason that real GDP is a poor measure of a nation'seconomic welfare?A)Real GDP omits measures of political freedom.b) Real GDP does not consider the value of people's leisure time.c) Real GDP does not include the underground economy.D) Real GDP omits household production. Which factor motivated The Egyptians and The Mesopotamians choice in their settlement location? A customer buys a different book that has an original selling price of $38. The book is discounted 25%. The customer must pay a 6% sales tax on the discounted price of the book.What is the total amount, in dollars, the customer pays for the discounted book? Explain and SHOW how you arrived at your answer. I need help solving both of these 2 Ive tried asking but nobody knows What is assimilation as it relates to immigrants? the act of rejecting one's old heritage in favor of a new culture the establishment of ethnic neighborhoods within an American city the process of integrating into the society of a new country the hope of learning English well enough to pass as an American A can of soup is 8 centimeters in diameter and 10 centimeters high. What is the volume of the can in terms of ? 10. Based on what you can infer from this passage, and your knowledge of American history,which of the following statements about the Constitution do you think this author would agreewith?a. It established a pure democracyb. It was a complex and imperfect series of compromisesc. It was created through a smooth processd. It was just a few minor adjustments to the Articles of Confederation The police___ talking to the parents of the missing child.a. is b. are A prosecutor discovers possible exculpatory evidence about the defendant but decides to withhold that evidence so that the defense will be at a disadvantage. What is a way that some jurisdictions have sought to ensure the fair exchange of information between parties? what is aphids? explain in easy words Software and technology that allow people to work together on a task are known as The patient is ordered to receive regular human insulin at 10 units/hr. Onhand is 50 mL of 0.9 NaCl with 100 units of regular human insulin. How manymL/hr should the patient receive?