Point A is at (6,-6) and point C is at (-6,-2). Find the coordinates of point B on line AC such that AB= 3/4 AC

Answers

Answer 1

Answer:

-3, -3

Step-by-step explanation:

Answer 2

The coordinates of point B on line AC is (6/7, -30/7).

Given that, A(6, -6), C(-6,-2) and AB= 3/4 AC.

What is the section formula?

The section formula is P(x, y)\(=(\frac{mx_{2} +nx_{1}}{m+n}, \frac{my_{2} +ny_{1}}{m+n} )\).

Now, AB= 3/4 AC⇒AB:AC=3:4

P(x,y)\(=(\frac{3(-6)+4(6)}{3+4}, \frac{3(-2) +4(-6)}{3+4} )\)

=(6/7, -30/7)

Therefore, the coordinates of point B on line AC is (6/7, -30/7).

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Related Questions

use 3.14 help me please

use 3.14 help me please

Answers

Answer:

V  =  339 in³

Step-by-step explanation:

The formula for the volume of a sphere of radius r is V = (4/3)πr³

Here the diameter is 18 m, so the radius must be 9 m, and the volume of the sphere is

V = (4/3)(3.14)(9 m)², or

V  =  339 in³

Evaluate the expression.343 ^ { 4 / 3 }

Answers

In order to evaluate the expression, we must first understand the order of operations. The ^ symbol indicates an exponential, which takes precedence over division. the expression.343 ^ { 4 / 3 } is 7,625

In order to evaluate the expression, we must first understand the order of operations. The ^ symbol indicates an exponential, which takes precedence over division. Therefore, we will first calculate 343^4 and then divide the result by 3. 343^4 = 7,741,675. 7,741,675 divided by 3 is equal to 2,580,558.33. When rounded to the nearest whole number, the answer is 7,625.The expression 343^ {4/3} can be broken down into 343 to the power of 4 divided by 3. Before we evaluate the expression, we must understand the order of operations. The ^ symbol indicates an exponential, which takes precedence over division. Therefore, we will first calculate 343^4 and then divide the result by 3. 343^4 can be calculated using the formula 343 x 343 x 343 x 343. This results in 7,741,675. 7,741,675 divided by 3 is equal to 2,580,558.33. When rounded to the nearest whole number, the answer is 7,625.

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I NEED HELP ASAP IT'S DUE IN 40 MINUTES!!! I'LL GIVE BRAINLIEST!!!

I NEED HELP ASAP IT'S DUE IN 40 MINUTES!!! I'LL GIVE BRAINLIEST!!!

Answers

Answer:

Transversal

Step-by-step explanation:

A subset h of a vector space v is a subspace of v if the zero vector is in h.

a. True
b. False

Answers

Answer: TRUE

SUIIIIIIIII

The statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

What is the subspace of a vector?

A subspace is a vector space that is also encompassed within another vector space.

So, while each subspace is a vector space in its own right, it is also defined with respect to another (bigger) vector space.

Three components must be demonstrated to prove that a subset is a subspace:

Additionally, demonstrate that it is closed.

Show that it is closed when scalar multiplication is used.

Show that vector 0 is a part of the subset.

As it is stated in the question;

h represents a subset of the vector space v.

The zero vector is contained in h.

This implies that h must be in the v subspace.

Hence, the statement that "subset h of a vector space v is a subspace of v if the zero vector is in h" is true.

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how would 4,258,145,397 be shown in written form?

Answers

Answer:

four billion two hundred fifty-eight million one hundred forty-five thousand three hundred ninety-seven

Step-by-step explanation:

Answer:

Word form-

four billion, two hundred fifty-eight million, one hundred forty-five thousand, three hundred ninety-seven.

Step-by-step explanation:

The temperature is -3°F at 7:00 A.M. During the next 4 hours, the temperature increases 21°F. What is the temperature at 11:00 A.M.?

Answers

Answer: 18°F

Step-by-step explanation: if you add 21 and -3 you get 18

There is a tree house with a wall that is 7 feet high, what is the volume of the tree house?

Answers

Answer:

343 feet

Step-by-step explanation:

ANSWER:
You cannot find the volume with only this measurement. You also need the shape of the treehouse

EXPLANATION:
The formula for volume is Length*Width*Hight

Assuming that the tree house is a cube, you would do 7*7*7, which gets you 343

What is the value of the function f(x)=x2−5x+2 evaluated at x=−3.5 ??

Answers

Answer:

31,75

Step-by-step explanation:

at x = -3,5 => f(x) = (-3,5)^2 - 5.(-3,5) + 2 = 31,75

Answer:

f(x)=31.75

Step-by-step explanation:

Predecessor and successor of 999​

Answers

Can u give me an example of the problem

Use a Venn Diagram and all the information on a survey of 50 people to answer the following question. (Make sure to draw the Venn Diagram as part of your solution). 32 like coffee 19 like tea 5 like both coffee and tea How many people do not like coffee or tea?

Answers

3 people do not like either coffee or tea. (Venn Diagram: 3 in the outside circle)  The Venn Diagram would contain 3 circles, one labeled “Coffee”, one labeled “Tea”, and one labeled “Neither”.

The Venn Diagram will have 3 circles, one labeled “Coffee”, one labeled “Tea”, and one labeled “Neither”. In the “Coffee” circle, 32 people like coffee. In the “Tea” circle, 19 people like tea. In the overlapping “Both” circle, 5 people like both coffee and tea. To find the number of people who do not like coffee or tea, subtract the total number of people surveyed (50) from the sum of people who like coffee (32) and tea (19) and people who like both (5). Therefore, the answer is 3 people do not like either coffee or tea.  (Venn Diagram: 3 in the outside circle)

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Answer the following question. Show your calculations. A clothing manufacturer makes batches of shirts containing 1,000,000 shirts in each batch. They have been contracted by a retailer to produce 10 batches of shirts over a two- year period. The retailer tests each batch by testing 1000 shirts per batch for a fault. If more than 2 shirts are found to be faulty the batch will fail the inspection. The probability that a shirt has a fault is 0.0015. If less than 3 batches fail an inspection over the two-year period, there is an 80% chance of the contract being renewed. If 3 to 4 batches are rejected, there is a 50% chance of the contract being renewed. If more than 4 are rejected there is only a 30% chance of the contract being renewed. Assume that the manufacturer has obtained identical contracts (to the one outlined above) from 180 different retailers. Additionally, the outcome of each contract is independent of all other contracts. The manufacturer needs at least 115 of the contracts to be renewed to stay in business at the end of the two-year period. Calculate the probability that the manufacturing company will stay in business at the end of the two-year period.

Answers

The probability that the manufacturing company will stay in business at the end of the two-year period is 1. (OPTION 1).

In this given scenario, the probability of a shirt having a fault is 0.0015. Each batch contains 1,000,000 shirts. The retailer tests 1000 shirts per batch for a fault. If more than 2 shirts are found to be faulty, the batch will fail the inspection.

To solve the given problem, we can use the binomial distribution. We know that the probability of success (p) = 0.0015, and the probability of failure (q) = 0.9985. Let's calculate the probability of a batch failing inspection.

We need to find the probability of more than 2 faulty shirts in a batch (n = 1000).

If X denotes the number of faulty shirts, then we have a binomial distribution as follows:

P(X > 2) = 1 - P(X ≤ 2)

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

= (1000C0) × (0.0015)^0 × (0.9985)^1000 + (1000C1) × (0.0015)^1 × (0.9985)^999 + (1000C2) × (0.0015)^2 × (0.9985)^998

= 0.9877

P(X > 2) = 1 - 0.9877

= 0.0123

The probability that a batch will fail inspection is 0.0123.

The next step is to find the probability of 0, 1, 2, 3, 4, 5, 6, or more than 6 batches failing inspection. For this, we use the binomial distribution with n = 10 (number of batches) and p = 0.0123 (probability of a batch failing inspection).

Let Y denote the number of batches failing inspection. Then we have:

P(Y = 0) = (10C0) × (0.0123)^0 × (1 - 0.0123)^10 = 0.8863

P(Y = 1) = (10C1) × (0.0123)^1 × (1 - 0.0123)^9 = 0.1084

P(Y = 2) = (10C2) × (0.0123)^2 × (1 - 0.0123)^8 = 0.0049

P(Y = 3) = (10C3) × (0.0123)^3 × (1 - 0.0123)^7 = 0.0001

P(Y = 4) = (10C4) × (0.0123)^4 × (1 - 0.0123)^6 = 1.2116 × 10^-6

P(Y = 5) = (10C5) × (0.0123)^5 × (1 - 0.0123)^5 = 6.0729 × 10^-9

P(Y = 6) = (10C6) × (0.0123)^6 × (1 - 0.0123)^4 = 1.3727 × 10^-11

P(Y > 6) = P(Y = 7) + P(Y = 8) + P(Y = 9) + P(Y = 10) = 1.9024 × 10^-14

Therefore, the probability of less than 3 batches failing inspection is:

P(Y < 3) = P(Y = 0) + P(Y = 1) + P(Y = 2) = 0.9996

The probability of 3 or 4 batches failing inspection is:

P(3 ≤ Y ≤ 4) = P(Y = 3) + P(Y = 4) = 1.2329 × 10^-6

The probability of more than 4 batches failing inspection is:

P(Y > 4) = P(Y = 5) + P(Y = 6) + P(Y > 6) = 1.3733 × 10^-11

The manufacturer needs at least 115 of the contracts to be renewed to stay in business at the end of the two-year period. We need to find the probability that at least 115 of the 180 contracts will be renewed.

We can use the normal approximation to the binomial distribution. Since np = 180 × 0.9996 = 179.928 and nq = 180 × (1 - 0.9996) = 0.072, we can assume that Y has a normal distribution with mean μ = 179.928 and standard deviation σ = √(180 × 0.9996 × 0.0004) = 0.1982.

Let Z denote the standardized normal variable. Then:

P(Y ≥ 115) = P(Z ≥ (115 - 179.928) / 0.1982)

= P(Z ≥ -332.42)

≈ 1

Therefore, the probability that the manufacturing company will stay in business at the end of the two-year period is approximately 1. Answer: 1.

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there were 87 people attending a party. Each table at the party could seat 12 people. How how many tables were full? how many people were left at a table that was not fullthere were 87 people attending a party. Each table at the party could seat 12 people. How how many tables were full? how many people were left at a table that was not full

A. 6 tables, 15 people left
B. 7 tables, 3 people left
C. 8 tables, 1 person left
D. 9 tables, 0 people left

Answers

The answer is B. 7 tables, 3 people left

find the measure of angle b. (alternate exterior = 134 degrees)

find the measure of angle b. (alternate exterior = 134 degrees)

Answers

Answer:

b=59

Step-by-step explanation:

The Theorem for Alternate Exterior angles is: If two parallel lines are cut by a transversal then the alternate exterior angles are congruent.

By this theorem we now know that b=59 degrees.

Find the value of x
!!!

Find the value of x!!!

Answers

Answer: In the upper triangle  x = 33° and in the lower triangle x = 128°

Step-by-step explanation:

Upper triangle:

x = (180° - 114°) ÷ 2 = 33°

Lower triangle:

x = 180° - 26° × 2 = 128°

6.11.4 Test(TST): Circles Without Coordinates). The questions are in the document.

Answers

The value of AOB and BOC based in the information given in the circle will be 53°.

How to calculate the values in the circle?

From the information given, the central angle is the angle that the vertex is at the center of the circle.

It was stated that OB bisects AOC. Therefore, since AOB is 53°, BOC is also 53°.

The value of AOC will now be:

= AOB + BOC

= 53° + 53°

= 106°

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6.11.4 Test(TST): Circles Without Coordinates). The questions are in the document.

Six friends went out to lunch they each started with the same amount of money and they each spent 8$ they ended with a combined total of 48$ how much money did each of them have to start

Answers

Answer:

8

Step-by-step explanation:

-8y=24
so i have to write more, so have a great day

Answers

Answer:

y=-3

Step-by-step explanation:

-8y=24

y= 24/-8

y=-3

Hope this helps! :)

pls mark brainliest

Answer:

y = - 3

Step-by-step explanation:

- 8y = 24 | (-)

8y = - 24

y = - 24 : 8

y = - 3

How do you think the Tang Dynasty was able to keep control of their government?

Answers

The Tang Dynasty was a monarchy. Although the government possessed most of the power, they tried to make sure that the people had some too. They divided land from large land owners, and split it between those who had none. This allowed all to have some power and property.

A group of 12 students is deciding whether to go to the science center or the zoo. Science center tickets are 3 for $36.75 and zoo tickets are 4 for $51.
How much will a group of 12 students save by choosing the science center?
Enter your answer in the box.

Answers

Answer:

The money saved is $153-$147= $6

Step-by-step explanation:

Science center tickets are 3 for $36.75

so 12 tickets costs =4*36.75=$147

and zoo tickets are 4 for $51

so 12 tickets costs =3* 51=$153

The money saved is $153-$147= $6

HELP FAST 100 POINTS - please show how you got it thank you

Which theorem/postulate can be used to prove ∆PQR ≅ ∆STU?
What is the perimeter of ∆PQR?

HELP FAST 100 POINTS - please show how you got it thank you Which theorem/postulate can be used to prove

Answers

side angle side (SAS) is the postulate because we can clearly see that two of the sides of the triangles are congruent (9 & 14), as well as the Q and T angle.

the perimeter is 43

6y+5=8y

y= 5/2

9+14+6(5/2)+5= 43

Answer:

Solution given:

In ∆ PQR and ∆ STQ

PQ=ST=9ft given

<Q=<T given

QR=TU = 14ft [given]

S.A.S axiom therom is used to prove

∆PQR ≅ ∆STU

Since ∆PQR ≅ ∆STU

their corresponding side is equal.so

6y+5=8y

5=8y-6y

2y=5

y=5/2

now

perimeter of ∆ PQR=sum of all sides

=9ft +14ft+ 6*5/2+5=43ft

simpfy 4 1/2+ 1 3/5 help

Answers

Answer:

4 1/2 + 1 3/5 = 6 1/10 or 61/10

HELP pls I’m trying to finished all my work today

HELP pls Im trying to finished all my work today

Answers

the ans is (1) -5(-3h + g +5)

Drake ha been feeding hi hore after chool thi week. There were 3 day that Drake fed hi hore 12 pound of hay. Another day Drake fed hi hore 11 2/5 pound of hay. The lat day Drake fed hi hore 10. 82 pound. How many pound in total did Drake feed hi hore thi week? Write your anwer in decimal and in fraction

Answers

The total Drake feed his horse this week is 58.22 pound or 58\(\frac{11}{50}\) pound.

How to calculate total pounds?

Let's break it down,

day 1 = 12 pound

day 2 = 12 pound

day 3 = 12 pound

day 4 = 11\(\frac{2}{5}\) pound

day 5 = 10.82 pound

First to answer in decimal, change all value to decimal. Since only day 4 value is not decimal, so we only change day 4 value.

day 4 = 11 + (2 ÷ 5) = 11.4 pound

Total pound = 12+12+12+11.4+10.82

= 58.22 pound

Next, to answer in fraction, we only change the result in decimal to fraction. So,

58.22 = 58 + (22 ÷ 100)

= 58\(\frac{22}{100}\)

simplified

= 58\(\frac{11}{50}\)

Thus, this week Drake feed his horse 58.22 pound of hay or equal to 58\(\frac{11}{50}\) pound of hay.

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50 points and I’ll mark you brainiest if correct.

50 points and Ill mark you brainiest if correct.

Answers

Answer:

The container can hold 18 gallons

Step-by-step explanation:

Assume the container can hold x gallons

∵ The container is \(\frac{2}{3}\)  full with water

∵ It can hold x gallons

→ Multiply \(\frac{2}{3}\) by x to find the number of gallons in the container

∴ The number of gallons in the container = \(\frac{2}{3}\) x

∵ 4 gallons of water pouring out

∵ It is  \(\frac{4}{9}\) full

→ Multiply \(\frac{4}{9}\) by x to find the number of gallons left in it

∴ The number of gallons left in the container = \(\frac{4}{9}\) x

→ The difference between the numbers of gallons is 4 gallons

∵  \(\frac{2}{3}\) x - \(\frac{4}{9}\) x = 4

→ Subtract the terms of the left side

∴ \(\frac{2}{9}\) x = 4

→ Multiply both sides by 9

∴ 2x = 36

→ Divide both sides by 18

∴ x = 18

∵ x represents the full of the container

The container can hold 18 gallons

3 Maria has a bag containing 18 fruit drop sweets. 10 are apple flavoured and 8 are blackberry
flavoured. She chooses a sweet at random and eats it. Then she chooses another sweet at
random. Calculate the probability that:
a)) both sweets were apple flavour
b)) both sweets were blackberry flavored
c)) the first was apple and the second was blackberry

Answers

Answer:

Step-by-step explanation:

It could be apple because there is more apple that blackberry fruit drops

Step-by-step explanation:

apple flavoured and 8 are blackberry

flavoured. She chooses a sweet at random and eats it. Then she chooses another sweet at

random. Calculate the probability

A cubical house can hold 4096m of air .find the height of the house​

Answers

Answer:

16 m

Step-by-step explanation:

V = \(s^{3}\)

4096 = \(s^{3}\)

cube root of 4096 = 16

All above -the line adjustments that do not have corresponding input lines on Schedule 1 ( Form 1040 are indicated as

A. Write -in adjustment

B. Write -in deductions

C. Miscellaneous adjustments

D. Miscellaneous deductions

Answers

The correct option is A. Write-in adjustments All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are indicated as write-in adjustments.

All above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040) are referred to as write-in adjustments. Line 36 of Schedule 1 is where all write-in adjustments are reported. You have to provide a brief explanation of the adjustment and the corresponding amount for each write-in adjustment.If the IRS has developed an input line for a particular write-in adjustment, taxpayers must use that input line to report the adjustment. 

When writing in adjustments, taxpayers must ensure that the amount they enter is calculated and that they have a reasonable explanation for the adjustment. Taxpayers may be required to provide documentation to support the adjustment if the IRS requests it.

Miscellaneous adjustments and miscellaneous deductions are not used to describe all above-the-line adjustments that do not have corresponding input lines on Schedule 1 (Form 1040).

Therefore, options C and D are incorrect. The correct option is A. Write-in adjustments.

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Identify the variable terms, constant terms, and coefficients for each expression.

EXPRESSION

VARIABLE TERMS CONSTANT TERMS COEFFICIENTS

1.

14w- 3w

2.

-2a+ 9-5a

3.

8m-2-10+ m

4.

-2p-17 +6p - p+4

5.

14x – 3y + 5y - 26-7x

6.

-6C +18-15d + C-11-3c

Answers

1. 14w - 3w

Variable term: 14w, -3w

Constant term: None

Coefficient: 14, -3

2. -2a + 9 - 5a

Variable term: -2a, -5a

Constant term: 9

Coefficient: -2, -5

3. 8m - 2 - 10 + m

Variable term: 8m, m

Constant term: -2, -10

Coefficient: 8, 1

4. -2p - 17 + 6p - p + 4

Variable term: -2p, 6p, -p

Constant term: -17, 4

Coefficient: -2, 6, -1

5. 14x - 3y + 5y - 26 - 7x

Variable term: 14x, -3y, 5y, -7x

Constant term: -26

Coefficient: 14, -3, 5, -7

6. -6C + 18 - 15d + C - 11 - 3c

Variable term: -6C, -15d, C, -3c

Constant term: 18, -11

Coefficient: -6, -15, 1, -3

In each expression, variable terms are the terms that contain variables (letters representing unknowns), constant terms are the terms that do not contain variables, and coefficients are the numbers multiplying the variables. Let's identify the variable terms, constant terms, and coefficients for each expression:

In each expression, the variable terms consist of the terms containing variables, the constant terms are the terms without variables, and the coefficients are the numbers multiplying the variables.

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A plane took 3. 55 hours to finish a journey. If the distance of

the journey was 2840 miles, at what average speed did the

plane travel?

mph

Answers

Answer:

800 mph

Step-by-step explanation:

Use the formula: Distance/Time=Speed

Distance: 2840 miles

Time: 3.55 hours

Now Divide,  giving you the speed of 800 mph

Hope this helps!

find dy/dx by implicit differentiation. Then find the slope of the graph at the given point.

find dy/dx by implicit differentiation. Then find the slope of the graph at the given point.

Answers

the slope is 0.288

Explanation

Step 1

given

\(xcosy=1\)

a) find the implicit derivate

\(\begin{gathered} xcosy=1 \\ cosy-xsiny*y^{\prime}=0 \\ y^{\prime}=\frac{-cosy}{-xsiny} \\ y^{\prime}=\frac{cosy}{xs\imaginaryI ny} \end{gathered}\)

b), now ,Plug x value of the indicated point into f '(x) to find the slope at x

\(\begin{gathered} y^{\prime}=\frac{cosy}{xs\imaginaryI ny} \\ y^{\prime}=\frac{cos(\frac{\pi}{3})}{2sin(\frac{\pi}{3})}= \\ y^{\prime}=0.288 \end{gathered}\)

so, the slope is 0.288

I hope this helps you

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