Points A, B, and C are collinear and AB:AC=2:5. Point A is located at (-3,-4), point B is located at (m,n) and point C is located at (2,6). What are the values of m and n? Show all work.

Answers

Answer 1

Answer:

m = -11/7

n = -8/7

Step-by-step explanation:

Here, what we want to calculate is the coordinates of the point B

Let’s consider the straight line as A B C

we can see that actually, the point B divides the line into the ratio 2:5 since AB:AC is 2:5

Thus, by using the internal division formula (section formula) with the ratio of division, we can get the coordinates of point B

Mathematically, the formula for internal division is given as follows;

B = ( (mx2 + nx1) /m + n , (my2 + ny1)/( m + n))

From the question;

m:n = 2:5

Thus m = 2, n = 5

(x1,y1) are coordinates of A

x1 = -3 , y1 = -4

(x2, y2) are coordinates of C

x2 = 2 , y2 = 6

Thus, substituting these values into the equation we have;

B ={ 2(2) + 5(-3)}/(2+5) , {2(6) + 5(-4)}/(2+5)

B = (-11/7, -8/7)


Related Questions

A recipe calls for 1/8 cup of sugar and 3/4 cup of brown sugar. How much total sugar is added to the recipe?

Answers

7/8 is the total amount of combined brown and regular sugar

YALL PLEASE HELP OMG I REALLY NEED THIS ANSWERED AS FAST AS POSSIBLE IT WAS DUE YESTERDAY PLZZZ HELLLPPPP ILL EVEN BE UR BESTFRIEND I PINKIE SWEAR

Answers

Answer:

1) x= 5, -5

2) x= 7, -7

3) x= -10, 10

4) x= -15, 11

Step-by-step explanation:

The answers are in order by the way :)

Simplify: (3x – 1) (x3 + 2x + 1)
o A. 3x4 + 6x2 + 2 - 1
O B. 3x4 – 23 + 6x2 + x – 1
C. 2x3 + 6x2 + x +1
O D. 3x4 + 203 + 6x2 + 1

Answers

Answer:

B: 3x4-x3+6x2+x-1

Answer:

[tex]3x^4-x^3+6x^2+x-1[/tex]

Step-by-step explanation:

Distribute parentheses:

[tex]3xx^3 + 3x * 2x + 3x * 1 + (-1)x^3 + (-1) * 2x + (-1) * 1[/tex]

Add minus and plus rules:

[tex]3x^3x + 3 * 2xx + 3 * 1 * x - 1 * x^3 - 1 * 2x - 1 * 1[/tex]

Simplify:

[tex]3x^4-x^3+6x^2+x-1[/tex]

5. Maria walks 12 miles in 3 hours. How many miles does she walk per hour?

A 4mi/hr
B 5 mi/hr
C 6 mi/hr
D 7 mi/hr

Answers

Answer:

4miles, because it would just be 12 divided by 3.

Step-by-step explanation:

4 miles per hour. 12 divided by 3 is 4.

The graph of the function f(x)=x2 will be translated 3 units up and 1 unit left. What is the resulting function g(x)

Answers

When a function is translated, it means the function is moved from one point to another.

The resulting function  g(x) is: [tex]g(x) = (x + 1)^2 + 3[/tex]

Given that:

[tex]f(x) = x^2[/tex]

When the function is translated 3 units up, the rule is:

[tex](x,y) \to (x,y+3)[/tex]

So, we have:

[tex]f'(x) = x^2 + 3[/tex]

When the function is translated 1 unit left, the rule is:

[tex](x,y) \to (x + 1,y)[/tex]

So, we have:

[tex]g(x) = (x + 1)^2 + 3[/tex]

Hence, the resulting function  g(x) is:

[tex]g(x) = (x + 1)^2 + 3[/tex]

See attachment for the graphs of f(x) and g(x)

Read more about translations at:

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Solve the equation for k.
k=5/12
omg please help me

Answers

5 divided by 12 is 0.41666667

Answer:

k=0.416

Step-by-step explanation:

k=[tex]\frac{5}{12}[/tex] right?


can someone solve for me pls!!!!!

Answers

Answer:

[tex]\frac{7}{15}[/tex]

Step-by-step explanation:

Let 1 unit be 0.4666...

16 units = [tex]0.4666...*16=7.4666...[/tex]

15 units = [tex]7.4666...-0.4666...[/tex]

15 units = [tex]7[/tex]

1 unit = [tex]\frac{7}{15}[/tex]

I need help with slope​

Answers

y=mx+b is the equation of a line, m is the slope (the rate of change).

Bella is preheating her oven before using it to bake. The initial temperature of the
oven is 65° and the temperature will increase at a rate of 10° per minute after being
turned on. What is the temperature of the oven 18 minutes after being turned on?
What is the temperature of the oven t minutes after being turned on?

Answers

Answer: 245

Step-by-step explanation:

If you multiply 10 degrees by 18 that gets you 180. Add that to 65 and you get your total.

Answer:

temp after 18 minutes: 245

temp after t minutes: 65+10t

Sam decided to lose weight and went on a diet. The figure below depicts a graph, showing how his weight changed during the year. Using this graph, answer the following questions:
What was Sam’s weight at the beginning of the year?

Answers

Answer:

100kg

Step-by-step explanation:

On the graph 100kg is where the line starts so that his weight when he started. Hope this made sense!

Answer:

100kg

Step-by-step explanation:

because at the start of the diagram it's pointing at 100kg

Write this question in expanded notation 32.874 HELP

Answers

Answer:

30+2+.8+.07+.004

Step-by-step explanation:

i mathed then i mathed then i ate then i mathed some more

Find the LCM of each numbers 3,8,12,15

Answers

Answer:

120

Step-by-step explanation:

Method 1 ; Using prime factors ;

[tex]3,\:8,\:12,\:15\\\\\mathrm{Prime\:factorization\:of\:}3:\quad 3\\\mathrm{Prime\:factorization\:of\:}8:\quad 2\times\:2\times\:2\\\mathrm{Prime\:factorization\:of\:}12:\quad 2\times\:2\times\:3\\\mathrm{Prime\:factorization\:of\:}15:\quad 3\times\:5\\\\=3\times \:2\times \:2\times \:2\times \:5\\=120[/tex]

Method 2 ; Using Multipliers

[tex]\mathrm{The\:multipliers\:of\:}3\\3,\:6,\:9,\:12,\:15,\:18,\:21,\:24,\:27,\:\\30,\:33,\:36,\:39,\:42,\:45,\:48,\:51,\:\\54,\:57,\:60,\:63,\:66,\:69,\:72,\:75,\:\\78,\:81,\:84,\:87,\:90,\:93,\:96,\:99,\:102,\:105,\:108,\:111\\114,\:117,\:120,\:123,\:126,\:129\\[/tex]

[tex]\mathrm{The\:multipliers\:of\:}8\\\\=8,\:16,\:24,\:32,\:40,\:48,\:56,\:64,\:72,\\\:80,\:88,\:96,\:104,\:112,\:120,\:128,\:136,\:\\144,\:152,\:160,\:168,\:176,\:184[/tex]

[tex]\mathrm{The\:multipliers\:of\:}12\\\\=12,\:24,\:36,\:48,\:60,\:72,\:84,\:96,\:108,\\\:120,\:132,\:144,\:156,\:168,\:180,\:192,\:204,\\\:216,\:228,\:240,\:252,\:264,\:276,\:288,\:\\\\\\\mathrm{The\:multipliers\:of\:}15\\=15,\:30,\:45,\:60,\:75,\:90,\:105,\:120,\\\:135,\:150,\:165,\:180,\:195,\:210,\:225,\\\:240,\:255,\:270,\:285,\:300,\:315,\:330,\:[/tex]

[tex]\mathrm{The\:smallest\:common\:number\:is}\\=120[/tex]

0.75x+1.5=-3

what’s the answer? tysm for any help! (:

Answers

Answer:

x=−6

Step-by-step explanation: Brainliest:)

the answer is x is -6

What is equivalent to -5/9 negative fraction

Answers

answer:

A) - 5/9

reason:

when one value in the fraction is a negative, the entire fraction becomes negative.

Which characteristic of a data set makes a linear regression model unreasonable? a slope close to 0 a correlation coefficient close to 0 a slope close to –1 a correlation coefficient close to –1

Answers

Answer:

A correlation coefficient close to zero

Step-by-step explanation:

This makes linear regression unreasonable because the correlation coefficient shows how related the data points are, -1 and 1 being very strong and 0 being uncorrelated. So the line of best fit would not make sense because the data points are random in relation to one another.

Answer:          B. A correlation coefficient close to zero

Step-by-step explanation:

used to have a square garage with ft of floor space. recently built an addition to it. The garage is still a​ square, but now it has​ 50% more floor space. What was the length of one side of the garage​ originally? What is the length of one side of the garage​ now? What was the percent increase in the length of one​ side?

Answers

Answer:

I used to have a square garage with ft of floor space. recently built an addition to it. The garage is still a​ square, but now it has​ 50% more floor space. What was the length of one side of the garage​ originally? What is the length of one side of the garage​ now? What was the percent increase in the length of one​ side?

Step-by-step explanation:

10

Answer: the answer is 18.2

Step-by-step explanation:

i did the question  on Savvas Realize so i got the answer after i got it wrong

Which is different?
w is greater than or equal to – 7.
W is no more than 7
w is no less than - 7
w is at least - 7

Answers

w is no more than 7 is different

Answer:

W is no more than 7

Step-by-step explanation:

W is greater than or equal to -7 is (W>_-7)

W is no more than 7 is (W<_7)

W is no less than -7 is (W>_7)

W is at least -7 is (W>_7)

Out of all of these, w is no more than 7 is the only different expression

7 less than 4 times a number equals 13 ​

Answers

Answer:

X = 5

Step-by-step explanation:

4x - 7 = 13

4x = 13 + 7

4x = 20

x = 20 / 4

x = 5

Hope it Helps :) !!

The solution of the given equation will be; X = 5

We know that the equation is defined as an expression that shows the relationship between two or more numbers and variables.

WE are given the statement as;

"7 less than 4 times a number equals 13 ​"

The equation becomes as;

4x - 7 = 13

Now solving for x;

4x = 13 + 7

4x = 20

Divide;

x = 20 / 4

x = 5

The value of x will be; x = 5

Learn more about equations here;

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If 3/4 of a certain number is equal to 41/2 find the number​

Answers

Answer:

[tex]x = \frac{82}{3}[/tex]

Step-by-step explanation:

let [tex]x[/tex] be that number

[tex](\frac{3}{4} )x = \frac{41}{2}[/tex]

[tex]\frac{3x}{4} = \frac{41}{2}[/tex]

multiply both sides by [tex]4[/tex]

[tex]\frac{3x}{4} * 4 = 4 * \frac{41}{2} \\3x = \frac{41 }{2} * 2 * 2\\3x = 41 *2 \\3x = 82 \\[/tex]

divide both sides by 3

[tex]\frac{3x}{3} = \frac{82}{3}[/tex]

[tex]x = \frac{82}{3}[/tex]

The number is   [tex]\frac{82}{3}[/tex]  .

What is fraction?

Fractions , represent a numerical value that expresses a part of a whole. The whole can be any number, a specific value, or a thing. Fractions are represented in the form of p/q. For example, ¼, ½, ¾, and so on.

According to the question

Let the number be x .

If 3/4 of a certain number is equal to 41/2

i.e

[tex]\frac{3}{4}x = \frac{41}{2}[/tex]

x = [tex]\frac{41}{2} *\frac{4}{3}[/tex]

x = [tex]\frac{82}{3}[/tex]

Hence, the number is   [tex]\frac{82}{3}[/tex]  .

To know more about fraction here:

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PLEASE HELP 20 POINTS




.5(4x - 2) - 2(3x + 3) = 9 + 2(x+ 4)

Answers

Answer:

[tex]x = -4[/tex]

Step-by-step explanation:

To solve this equation, we need to apply the distributive property, combine like terms, and get x on one side of the equation.

First, let's apply the distributive property to all parts of the equation:

[tex]0.5(4x-2) - 2(3x+3) = 9+2x + 8[/tex]

[tex]2x - 1 - 6x - 6 = 9 + 2x + 8[/tex]

Combine like terms:

[tex]-4x - 7 = 2x + 17[/tex]

Add 4x to both sides:

[tex]-7 = 6x + 17[/tex]

Add -7 to both sides:

[tex]0 = 6x + 24[/tex]

Subtract 24 from both sides:

[tex]6x = -24[/tex]

Divide both sides by 6:

[tex]x = -4[/tex]

Hope this helped!


Write each expression using exponents.
1. (-5)(-5)(-5)(-5) =

Answers

Answer:

(-5)^4

Step-by-step explanation:

I may be wrong, hopefully this helps you.

what is the value of 0.75-0.6​

Answers

answer should be
0.15
.15 is the correct answer to the question.

Which of the following are appropriate names for the angle composed of the rays JK−→− and JL−→? Select the three correct answers.
A. Angle JKL

B. KJL

C. L

D. K

E. J
F. LJK

Answers

Answer: KJL, LJK and ∠J

Step-by-step explanation:

We have two rays.

JK and JL.

So the common point of bot rays is the point J.

In the angle notation, we usually write the common point in the middle.

So the possible notations for this angle are:

LJK or KJL.

Also knowing that the vertex of the angle is at the point J, we also could call this angle as:

∠J.

So the correct options are B, F and i suppose that the option D is actually ∠J (you wrote that the option D is only J)

Joe is selling hot chocolate for $0.25 per cup. It costs $12 for a case of cocoa mix. Each paper coffee cup costs $0.10. How many cups of hot chocolate does he need to break –even?

Answers

Answer:

He needs 80 cups.

Step-by-step explanation:

$12/$.15(profit from every cup) =80

(-2,+[tex]\sqrt{x}[/tex]-7)[tex]x^{2}[/tex]

Answers

(-2 = √x - 7)x² (calculate)

(-9 = √x)x² (remove the parantheses)

-9x² + √x x²

1.1 Which One Doesn’t Belong: Diagrams Explain ur answer and I had to repost this.

Answers

Answer:

A.

Step-by-step explanation:

Its a 180 degree angle or straight. The others have a corner.

What is the sum of the prime factors of the number 330?

Answers

Answer:

21

Step-by-step explanation:

prim factors: 2, 3, 5, and 11

The sum of the prime factors of the number 330 is 21.

What is a prime factor?

A natural number other than 1 whose only factors are 1 and itself is said to have a prime factor. In actuality, the first few prime numbers are 2, 3, 5, 7, 11, and so forth.

Given:

The number is 330

Factorize the above number,

330 = 1 × 2 × 3 × 5 × 11

Prime factors are = 2, 3, 5, 11

Calculate the sum of the prime factor

2 + 3 + 5 + 11 = 21

Therefore, the sum of the prime factors of the number 330 is 21.

To know more about prime factors:

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Please help ty. if you can do both that's great and plz explain it tysm!!!!

Answers

Answer:

Hello, hope it helps :-)

Dont understand this at all, need help.​

Answers

Answer:

-2

Step-by-step explanation:

The slope (or gradient) is the coefficient for x in a linear equation. It's calculated by the change in y divided by the change in x. In this case, the change in y is -2 and the change in x is 1, therefore the slope is -2/1 which is -2.

simplify
−2(j^2− k) − 6(j^2 + 3k )

Answers

Answer:-8j^2-16k

Step-by-step explanation:

First step:-2j^2-(-2)k=-2j^2+2k

Second step:

-6(j^2+3k) use the formula a(b+c)=ab + ac

a=-6 b=j^2 c=3k

-6j^2+(-6).3k

-6j^2-6.3k=-6j^2-18k because we multiplied 6x3=18

So we gather the whole equation And simplify

-2j^2+2k-6j^2-18k

-2j^2-6j^2 +2k-18k(add like terms)6+2=8

-8j^2+2k-18K (subtract Like terms 18-2=16)

And the answer will give -8j^2-16k

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