Find the point, M, that divides segment AB into a ratio of 3.1 if A is at (-4,-2) and B is at (4. -10).

Answers

Answer 1

Answer:

The coordinates of M are (2,-8)

Step-by-step explanation:

The coordinates of the point that divides the line segment joining

[tex]A(x_1,y_1)[/tex] to [tex]B(x_2,y_2)[/tex] in the ratio m:n is given by:

[tex](\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]

If A is at (-4,-2) and B is at (4. -10) and the ratio is 3:1.

Then

[tex](\frac{3(4)+1(-4)}{3+1},\frac{3(-10)+1(-2)}{3+1})[/tex]

[tex](\frac{8}{4},\frac{-32}{4})[/tex]

The coordinates of M are (2,-8)

Answer 2

To find point M that divides segment AB in a 3:1 ratio, we apply the section formula with m=3 and n=1. The coordinates of point M, given A (-4,-2) and B (4, -10), are found to be (2, -8).

To find the point M that divides the segment AB into a ratio of 3:1, where point A is at (-4,-2) and point B is at (4, -10), we can use the section formula.

This formula allows us to calculate the coordinates of point M that divides AB in the given ratio.

The section formula in two dimensions for a line divided internally in the ratio m:n is given by:

M(x,y) = ((mx2 + nx1)/(m + n), (my2 + ny1)/(m + n))

In this problem, m=3 and n=1, point A (-4,-2), and point B (4, -10). We can substitute these values into the formula:

M(x,y) = ((3*4 + 1*(-4))/(3 + 1), (3*(-10) + 1*(-2))/(3 + 1)) = (8/4, -32/4) = (2, -8)

Therefore, the coordinates of point M are (2, -8).


Related Questions

What is the mode for the data set?

67, 73, 78, 71, 80, 74, 79, 76, 75, 70, 72


P.S: Not actually asking just for anyone with this question.

Answers

Mode is the number that most occurs in the data. From the given data set, there is no repeated number. Thus, there is no mode for the data set.

Answer:

I just took the test the answer is: None

Step-by-step explanation:

What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer.
-1 1/4 + 1/2

Answers

Answer:

Work:

first you want to change 1/2 so the denominator is a 4

1/2 is equivalent to 2/4

now you have -1 1/4 + 2/4

then you want to get rid of the whole number and make -1 1/4 into a fraction

-1 is -4/4 so add that to the 1/4

now you have -5/4 + 2/4

you can add that now easily and get -3/4

Answer:

-3/4 aka C                                                  hope this helped

GETS BRAINLIEST!!
There are 10 students in a class. The teacher chooses 3 students to go to the library. The order in which they are chosen does not matter. How many ways are there to choose the students ?

Answers

A class consists of ten individuals. The instructor selects three kids to accompany her to the library. It makes no difference in whatever sequence they are picked. There are 120 options for selecting pupils.

What are permutations and combinations?

A permutation is a process of putting items or pieces in a certain order. Combinations are a method of picking things or pieces from a set of objects or collections when the order of the objects is irrelevant.

No of student=10

Students to be choosen=3

The ways are there to choose the students are found with the help of combination as;

If n is the number of the ways:

n= 10C₃

[tex]\rm nCr = \frac{n!}{r!(n-r)!}\\\\[/tex]

Where n is the total of students and r is the teacher to be chosen:

[tex]\rm 10 C_3= \frac{10 !}{3!7!}\\\\ 10 C_3= \frac{3628800}{30240} \\\\ n=120[/tex]

Hence, there is 120 no of ways are there to choose a student.

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Answer: A class consists of ten individuals. The instructor selects three kids to accompany her to the library. It makes no difference in whatever sequence they are picked. There are 120 options for selecting pupils.

Step-by-step explanation:

Today, a factory inspector found flaws in 2 out of 16 wooden boxes. If the inspector checks 24 boxes tomorrow, predict how many of the boxes will be flawed.

Answers

Answer:

3

Step-by-step explanation:

The assumed frequency of defects is 2/16.

When we apply this rate to 24, (2/16)*24, we get 3.

Therefore, we can assume around 3 defective boxes tomorrow.

What’s 5n+7=21 it’s a two step equation

Answers

Answer:

n = 2.8

Step-by-step explanation:

We need to solve the equation 5n+7 =21 to find the value of n.

Adding -7 on both sides

5n +7 -7 = 21 -7

5n = 14

Dividing both sides by 5

5n/5 = 14/5

n = 14/5

n = 2.8

find the equation of the line passing through the point (3,1) and (7,-7)

Answers

Y=-2/5x -1 is the answer I believe, if anything check Photomath, that should be the right slope double check the y-intercept by plugging it in with your points provided to u

Answer:y = -2x + 7

Step-by-step explanation:

The equation of a straight line when two points are given is y - y1 = m(x - x1) but m is gradient which is y2 - y1 / x2 - x1

Substitute the points (3 ,1 ) and (7 , -7)

To the gradient equation and solve for the gradient which is m = -2 .Now with the gradient and the first point (3 , 1) solve for the equation

:• y - 1 = -2(x -3 )

y - 1 = -2x +6

. y = -2x + 7

Which expression is equivalent to 8-(6r+2)
A
B
C
D

Answers

i think b i’m not sure

Answer:

B

Step-by-step explanation:






Sebastian wanted to order pizzas for $7 each. The delivery charge is $3.50. He has $20.



What is the correct solution for how many pizzas he could order?

Answers

Answer: 2 pizzas with 2.50 left

Step-by-step explanation: First you subtract the 3.50 from the 20, that'll leave you with 16.50 and then from there you subtract 7 from it until you can't anymore

He could order a total of 2 pizzas.Concept of division:

Division is a method of distributing a group of things into equal parts.

According to the given question, we have the following data:

Sebastian has a total of $20.He wanted to order pizzas for $7 each.The delivery charge is $3.50

So, first of all, we have to pay the delivery charge whether we are ordering a single or bulk. That's why we have to deduct that from the total Sebastian has.

$20 - $3.50 = $16.50

So, now Sebastian has $16.50.

Now, each pizza is for $7.

So, it's clear now that, Sebastian has to divide his total amount by the price of each pizza to get how many pizzas he can order.

Number of pizzas Sebastian can order = (Total amount Sebastian has / price of each pizza)

= ($16.50 / $7)

= 2.36

But wait how can he order a fraction of pizzas so we have to take 2 as our answer.

Therefore, Sebastian could order a total of 2 pizzas.

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Jesse takes his dog and cat fort their annual vet visit.Jesse's dog weighs 23 pounds.The vet tells him his cats's weight is 5/8 as much as his dog's weight.How much does his cat weigh?

help me lol its late

Answers

The cat weighs 14.375 pounds (or 230 ounces even).

Hope this helps!

HELP: Solve this problem and show how you thought of it 3 different ways: 1/3 ÷ 5 (24 pts)

Answers

Three methods to solve the equation are Division as Repeated Subtraction,Using Fraction Division Formula,Using Decimal Conversion.

I'll approach this problem using three different methods:

Method 1: Division as Repeated Subtraction

Dividing [tex]\( \frac{1}{3} \)[/tex] by 5 means finding out how many times 5 can be subtracted from 1/3

[tex]\( \frac{1}{3} - 5 = - \frac{14}{3} \)[/tex]

So, you can subtract 5 from 1/3 approximately 0 times with a remainder of [tex]\( - \frac{14}{3} \).[/tex]

Method 2: Using Fraction Division Formula

To divide a fraction by a number, you can multiply the fraction by the reciprocal of the number.

[tex]\( \frac{1}{3} \div 5 = \frac{1}{3} \times \frac{1}{5} \)[/tex]

[tex]\( \frac{1}{3} \times \frac{1}{5} = \frac{1 \times 1}{3 \times 5} \)[/tex]

[tex]\( \frac{1}{3} \div 5 = \frac{1}{15} \)[/tex]

So, [tex]\( \frac{1}{3} \div 5 = \frac{1}{15} \).[/tex]

Method 3: Using Decimal Conversion

Converting 1/3 to a decimal gives [tex]\( 0.3333... \)[/tex]

Then, dividing 0.333 by 5 gives:

[tex]\( 0.3333... \div 5 \approx 0.0667 \)[/tex]

So, [tex]\( \frac{1}{3} \div 5 \approx 0.0667 \).[/tex]

These are three different ways to solve the problem [tex]\( \frac{1}{3} \div 5 \).[/tex]

Solve the inequality n/-3 + 8 > 6.

Answers

Answer:

n < 6

Step-by-step explanation:

n/-3 + 8 > 6

Subtract 8 from each side

n/-3 + 8 -8> 6-8

n/-3 > -2

Multiply each side by -3 to isolate n.  Remember to flip the inequality since we are multiplying by a negative

n/-3 * -3 < -2 *-3

n < 6

The polynomial of degree 3, P(x), has a root of. multiplicity 2 at x=1 and a roof of multiplicity 1 at x= -3. the y- intercept is y= 2.1. Find a formula for P(x)​

Answers

[tex]P(x)[/tex] has degree 3, so it takes the general form

[tex]P(x)=ax^3+bx^2+cx+d[/tex]

It has a root [tex]x=1[/tex] of multiplicity 2, which means [tex](x-1)^2[/tex] divides [tex]P(x)[/tex] exactly, and it has a root of [tex]x=-3[/tex] of multiplicity 1 so that [tex]x+3[/tex] also is a factor. So

[tex]P(x)=a(x-1)^2(x+3)[/tex]

Expanding this gives

[tex]P(x)=a(x^3+x^2-5x+3)=ax^3+ax^2-5ax+3a[/tex]

[tex]\implies\begin{cases}a=b\\-5a=c\\3a=d\end{cases}[/tex]

The [tex]y[/tex]-intercept occurs for [tex]x=0[/tex], for which we have

[tex]P(0)=d=2.1[/tex]

Then

[tex]3a=d\implies a=0.7[/tex]

[tex]a=b\implies b=0.7[/tex]

[tex]-5a=c\implies c=-0.14[/tex]

So we have

[tex]\boxed{P(x)=0.7x^3+0.7x^2-0.14x+2.1}[/tex]

Answer:

4

Step-by-step explanation:

on edge.

A new car is purchased for 23700 dollars.the value o the car depreciates at 13.5% per year what will be the value of the car be,to the nearest cent,after 10 years

Answers

it will be 31,995 but we have to estimate yo the nearest cent so 10 cents

Trent earns $19.50 per hour for his 40 hour work week. How much does he earn each week? Question 3 options: $877.50 $800.00 $809.25 $780.00

Answers

Answer:

Answer: $780.00

Step-by-step explanation:

The amount of money that he earns each week will be $ 780. Then the correct option is D.

What is multiplication?

It is also known as the product. If the object n is given to m times then we just simply multiply them.

Trent earns $19.50 per hour for his 40 hours of work for a week.

Then the amount of money that he earns each week will be

→ $ 19.50 × 40

→ $ 780

If he earns $19.50 per hour. Then the amount of money that he earns each week will be $ 780.

More about the multiplication link is given below.

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What kind of shape is this?

Convex nonagon

Concave octagon

Concave nonagon

Concave decagon

Answers

the answer is a concave decagon

Answer:

I believe this is a "Concave Decagon."

Step-by-step explanation:

A Decagon consists of 10 sides. This abstract shape has 10 sides, so this shape is a Decagon.

Hope this helps! :)

15 crackers weigh 69 grams. how many kilograms is this?

Answers

Answer:

[tex]0.069\ kg[/tex]

Step-by-step explanation:

we know that

1 kg=1,000 g

so

using proportion

Find out how many kilograms are 69 grams

Let

x -----> the weight in kg

[tex]\frac{1}{1,000}\frac{kg}{g} =\frac{x}{69}\frac{kg}{g}\\\\x=\frac{69}{1,000}\\\\x=0.069\ kg[/tex]

69 grams is equal to 0.069 kilograms.

To find how many kilograms 15 crackers weighing 69 grams is, convert 69 grams to kilograms by recognizing that there are 1000 grams in 1 kilogram.

15 crackers weigh 69 grams. To find how many kilograms this is, we need to convert grams to kilograms. There are 1000 grams in 1 kilogram. Therefore, 69 grams is equal to 0.069 kilograms.

What are all the triangles in geometry? And the angles too

Answers

Equilateral triangle: all sides are equal lengths, all angles are equal too

Scalene triangle: has three different sides, all angles are different

Isosceles triangle: 2 sides are equal, one isn’t, 2 angles are the same, one is different

Acute triangle: angles are less than 90 degrees

Obtuse triangle: angles are larger than 90 degrees

Right triangle: angle forms a 90 degree angle

Those are the triangles :)

Final answer:

There are different types of triangles in geometry, including equilateral, isosceles, and scalene triangles. The sum of angles in a triangle is always 180 degrees.

Explanation:

In geometry, there are several types of triangles, including:

Equilateral triangle: All three sides are equal in length, and all three angles are equal to 60 degrees.Isosceles triangle: Two sides are equal in length, and two of the angles are also equal.Scalene triangle: All three sides have different lengths, and all three angles are different.Right triangle: One angle is a right angle (90 degrees).

As for the sum of angles in a triangle, it is always 180 degrees. This is known as the Triangle Angle Sum Theorem

Irma picked 5/8 of a bushel and Matthew picked half as many. How many bushels did Matthew pick?

Answers

0.3125 is the correct answer

ANSWER

[tex] \frac{5}{16} [/tex]

bushels

EXPLANATION

It was given that,

Irma picked

[tex] \frac{5}{8} [/tex]

of a bushel.

If Mathew picked half as many bushels, then Mathew has:

[tex] \frac{1}{2} \times \frac{5}{8} = \frac{5}{16} [/tex]

Hence, Mathew has

[tex] \frac{5}{16} [/tex]

bushels.

which is greater pls help 108.505 108.5? pls help!!

Answers

Answer:

108.505 is greater.

Step-by-step explanation:

It is 5 thousandths bigger.

Write the polar equation as a set of parametric equations.

r=3sinθ
Show all work.

Answers

Answer:

[tex]x=t[/tex]

[tex]y=\pm\sqrt{3t-t^2}[/tex]

Step-by-step explanation:

The given polar equation is;

[tex]r=3\sin \theta[/tex]

We multiply  both sides by r

[tex]r^2=3r\sin \theta[/tex]

The corresponding rectangular equation is

[tex]y^2+x^2=3x[/tex]

[tex]y^2=3x-x^2[/tex]

[tex]y=\sqrt{3x-x^2}[/tex]

Let x=t,

Then;

[tex]y=\pm \sqrt{3t-t^2}[/tex]

Solve for h
Someone please help out

Answers

Answer:

[tex]\boxed{h=\frac{6}{b}}[/tex]

Step-by-step explanation:

Solving for [tex]h[/tex] is the same as isolating it. In this problem, we have the following equation:

[tex]6=bh[/tex]

So we need to do the following steps:

Step 1: Interchange the order of the equation:

[tex]bh=6[/tex]

Step 2: Divide the whole equation by [tex]b[/tex]:

[tex]\frac{1}{b}bh=\frac{1}{b}6[/tex]

Step 3: Simplify

[tex]h=\frac{6}{b}[/tex]

Finally, this h is in term of b and is:

[tex]\boxed{h=\frac{6}{b}}[/tex]

thomas want to save money for a vacation. thomas invest 1,200 in account that pays an interest rate of 4% how many years will it take for the account to reach 14,400. round to the nearest hundredth

Answers

Answer:

63.36 years

Step-by-step explanation:

This is a compound interest problem and the following information has been provided;

Principal, P = 1200

Interest rate, r = 4%

Accumulated amount, A = 14400

We are required to determine the number of years for the principal to accumulate to the given amount. We use the compound interest formula;

[tex]A=P(1+r)^{n}[/tex]

We substitute the given values into the formula and solve for n;

[tex]14400=1200(1+\frac{4}{100})^{n}\\12=(1.04)^{n}\\[/tex]

The next step is to introduce natural logarithms;

[tex]ln12=nln(1.04)\\n=\frac{ln12}{ln1.04}\\n=63.36[/tex]

Final answer:

Thomas has invested $1,200 at a 4% interest rate. Using the formula for compound interest and solving for time, it will take approximately 29.1 years for his account balance to reach $14,400.

Explanation:

Thomas has invested an amount of $1,200 into an account with a 4% interest rate. This type of problem involves the use of the formula for compound interest. The general formula for compound interest is: A = P(1 + r/n)^(nt), where:

A is the amount of money accumulated after n years, including interest. P is the principal amount (the initial amount of money). r is the annual interest rate (in decimal). n is the number of times that interest is compounded per year. t is the number of years the money is invested for.

In this case, we assume the interest is compounded annually, so n = 1. We rearrange the formula to solve for t, giving us the formula t = log(A/P) / log(1 + r).

Substituting the given values into the formula, we get t = log(14400/1200) / log(1 + 0.04), which gives a result of approximately 29.1 years. So, it will take around 29.1 years for the account balance to reach $14,400.

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HELP ME PLZZZZZZZ!!!!!

Answers

The answer is A because the input is x and the out put is y so that would make it 9.

Translate the sentence into a inequality


The product of c and 7 is less than or equal to -28?​

Answers

Answer: 7c≤-28  Step-by-step explanation:product of c and 7 is 7c and 7c is less than or equal to -28

The product of c and 7 is less than or equal to -28  is  7c≤-28.

What is the inequality equation? Inequality is a relation that makes a non-equal comparison between two numbers.Mathematical expressions of inequality equation is used most often to compare two numbers on the number line by their size.example :- The product of c and 7 is less than or equal to -28 is 7c≤-28.

What is a linear equation?

A linear equation has one or two variables. No variable in a linear equation is raised to a power greater than 1.

No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c. When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.

solving this we will get the valve of Y if x is given.

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Graph both functions to find the solution(s) to the system. {f(x)=x+1 g(x)=x2−6x−7   Use the line tool to graph the line. Use the parabola tool to graph the parabola. Choose maximum or minimum point first and then a point on the parabola.

Answers

Answer:

solutions to f(x)=g(x) are x=-1 and x=8

Step-by-step explanation:

The minimum point of the parabola will be found at ...

x = -b/(2a) . . . . . where a, b, c are the coefficients of ax²+bx+c

For g(x) = x² -6x -7, the minimum will be at x=-(-6)/(2·1) = 3. The minimum value is ...

g(3) = 3² -6·3 -7 = -16

so the vertex (minimum point) you want to plot is (3, -16). Since the coefficient of x² is 1, there is no vertical scaling, so when the value of x differs from 3 by 1 unit, the value of g(x) will be 1² = 1 unit higher. That is, g(4) = -15, so (4, -15) is another point on the parabola.

___

I find it convenient to use a graphing calculator for the whole problem.

A package of blank CDs usually costs $8.50. This week it's on sale for 15% off. What's the discount?

A: $.15
B: $.85
C: $1.28
D: $1.34

Answers

Answer:

1.28 is the amount you get off

Step-by-step explanation:

Answer: C: $1.28

Step-by-step explanation: took test

Find the product
( 5/3 )( 2/3 )(21)

A)
1
20

B)
20
3

C)
3
70

D)
70
3

Answers

Answer:

D 70/3

Step-by-step explanation:

5 /3 * 2/3 * 21

10/9 * 21/1

210/9

We can divide by 3 on the top and bottom

70/3

the final product is 70/3, making the correct answer D).

The question asks to find the product of the numbers (5/3), (2/3), and 21. To solve this, we will multiply these numbers step by step.

Multiply the two fractions: (5/3) * (2/3) = 10/9.Now, multiply the result by 21: (10/9) * 21 = 210/9.Simplify the result if possible: 210/9 = 70/3, which cannot be simplified further.

So, the final product is 70/3, making the correct answer D).

What is greatest value of the data represented by the box plot?

Answers

45, it is the highest number in the range

i don't need it but brainliest it is appreciated

Ervin scores half as many points in a game as Larry. If Larry scored x points, write an expression to represent how many points Ervin scored.
A) 2x
B) 2 + x
C) x - 2
D) 1
2
x

Answers

Answer:

Step-by-step explanation:

D

Answer:

Option D

Step-by-step explanation:

Larry scored x points

Ervin scores half as many points in a game as Larry

We need to make an expression using the given statement

For larry points we use the variable x.

Half as many points means 1/2 as larry

Ervin = half as larry

Ervin scored [tex]\frac{1}{2}[/tex] of larry

Ervin scored [tex]\frac{1}{2}[/tex] x

What is the diameter of a circle with a circumference of 6π?

Answers

Answer:

the diameter, d, must be 6

Step-by-step explanation:

Formula for circumference of a circle with diameter d is C = πd.  

If C = 6π = πd, then the diameter, d, must be 6.

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6 Select the correct answer What would you buy at la verdulera? A. aspirinas B. peridicos C. pollo D. patatas south america has mostly been settled Which sentence is complex, compound, simple: after midnight the ghost will come out of the haunted attic. the author cites several statistics in the section "Why protest?" What are some of these statistics, and what is their function in the document can someone please help me out Being familiar with a job will guarantee that no accidents will occur. True False I need help for question 8 What pull factors brought people to the west? Explain Factor each equation 64p^3 - 8q^3 What type of current do power lines transmit and why?A. AC current, because AC current transmits more efficientlyB. DC current, because DC current transmits more efficientlyC. AC current, because AC current is saferD. DC current, because DC current is safer Tasha is decorating a rectangular bulletin board by putting ribbon around its outer edge. The bulletin board is 14 in wide and 18 in tall how many inches of ribbon does she need? Find the domain of y=\sqrt{3x-8} can someone help me pls the options are A.78.23 to 115.43B.74.23 to 113.43C.72.3 to 103.3D 76.3 to 118.3 What advantages did the defeat of Russia offer the Germans?a. increased weapons from confiscated armsb. new recruits from the victoryc. a single war front to the westd. additional allies for the war(It is NOT A!) Solve this inequality for x.81 - 1 1/5x Explain how conformity is rewarded in the workplace. how many possible outcomes are there when flipping a coin 9 times 40 points Please help, answer and explain, please. Thank you! Which expression is arranged by decreasing powers of x for the given polynomial? 6x^2 - 2x^4+4+3xA. -2x^4+3x+6x^2+4B.6x^2+4+3x-2x^4C. -2x^4+6x^2+3x+4D.4+3x+6x^2-2x^4 a carpenter agrees to work under the condition that she is to be paid $55 every day she works and she must pay $66 every day she does not work. at the end of 30 days, she finds she has earned 77$. how many days did she work? 1 and 2 are complementary. If m1 = 4m2, find m1