the endpoint of ab are a(-7, -6) and b(5,6) what are the coordinates of point c on ab that is 1/3 the distance from point a to point b

Answers

Answer 1

Answer:

The coordinates of c are (-3,-2)

Step-by-step explanation:

We have the coordinates of a=(-7,-6) and b=(5,6). We need to find the coordinates of a point c=(x,y) such that:

[tex]d_{ac}=1/3 d_{ab}[/tex]

The coordinates x and y have the same relation as the distance:

[tex]x_{ac}=1/3x_{ab}[/tex]

Or, equivalently:

[tex]x_a-x=\frac{1}{3}(x_a-x_b)[/tex]

Multiplying by 3:

[tex]3x_a-3x=x_a-x_b[/tex]

Operating:

[tex]3x_a-x_a+x_b=3x[/tex]

[tex]2x_a+x_b=3x[/tex]

Dividing by 3:

[tex]x=\frac{2x_a+x_b}{3}[/tex]

Similarly:

[tex]y=\frac{2y_a+y_b}{3}[/tex]

Substituting:

[tex]x=\frac{2*(-7)+5}{3}=-3[/tex]

[tex]y=\frac{2*(-6)+6}{3}=-2[/tex]

The coordinates of c are (-3,-2)


Related Questions

PLEASE HELP NOW ASAP!!!!!!
Which expression has the same sum as the one below? Negative 15 + 6 15 + 6 Negative 6 + (negative 15) 15 + (negative 6) 6 + (negative 15)

Answers

Answer:

6+(-15)

Step-by-step explanation:

Answer:

i belive its d but im not sure, sorry for being late to ur question <3

Step-by-step explanation:

Have a Great Day!!

asking again, will give brainiest !
When multiplying exponents with the same base (ie 4 to the 3rd times 4 to the 5th) you do what to the exponents?

Answers

Answer:

add them

Step-by-step explanation:

got it righttt

Answer:

You add them together.

Step-by-step explanation:

x^2 times x^4=x^(2+4)

x^6

Hope I helped! Please mark Brainliest!!!

i need help with this 293 ÷ 102
the answers are:
2.93
29.3
293
2,930

Answers

Answer: 2.93

Step-by-step explanation:

The answer is appx. 2.8725, when rounded up it becomes 2.93.

Answer:

2.93

Step-by-step explanation:

what is the slope of ( -4,-1) , (8 - -7)

Answers

The formula to find slope is:
Rise over run —> y2 - y1 / x2 - x1
Plug in the numbers.
-7 - (-1) / 8 - (-4)
Simplify.
Hope I helped:)

What percent of 202 is 34

Answers

Answer:

Result: 68.68

68.68 is 202% of 34.

Step-by-step explanation:

:

202% × 34 = 68.68

Hope it helps :)

Answer:

16.8%

Step-by-step explanation:

We can write this as: is over of equals percent over 100. We need the percentage, so we leave the percent part blank.

34  =   p     Multiply across: 34*100=3,400

202 100    Divide: 3,400/202=16.8 (rounded)

Hope this helps!! Have a great day C:

Which expression is equivalent to – (4-3)?

A. -2(to the power of 2) + 3
B. -2(to the power of 2)– 3
C. -3 - 2(to the power of 2)
D. -3 +2(to the power of 2)

Answers

Answer:

answer is really hard and small, but I can't help because I don't know,

sorry not sorry

lol

regards,

Rosemary

Angle a and b are supplementary angles. If m angle a = (x + 15) degrees and m angle b = (x - 13) degrees. Find measure of angle b. Please answer !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Sum of supplementary angle is 180

So

a+b=180

(X+15)+(X-13)=180

2x+2=180

2x=178

X=178/2

X=89.

So angle b =x-13

=89-13

=76

Joe goes to the store to buy milk that cost x + $3, bread that cost x + $2.25, and 3 bags of potato chips that cost x + $1.50 each. Write an equivalent expression to represent what he spent.

Answers

Given:

Milk cost = x + $3,

Bread cost = x + $2.25,

3 bags of potato chips cost = x + $1.50 each.

To find:

The equivalent expression to represent what he spent.

Solution:

1 bag of potato chips cost = x + $1.50

3 bag of potato chips cost = 3(x + $1.50).

Total cost = Milk cost + Bread cost + Cost of 3 bags of potato chips

[tex]\text{Total cost}=(x+\$3)+(x+\$2.25)+3(x+\$1.50)[/tex]

[tex]\text{Total cost}=x+\$3+x+\$2.25+3x+\$4.50[/tex]

[tex]\text{Total cost}=(x+x+3x)+\$(3+2.25+4.50)[/tex]

[tex]\text{Total cost}=5x+\$9.75[/tex]

Therefore, the required expression is 5x+$9.75.

What is the equation of the graphed line written in standard form?

Answers

Answer:

The last one   5x-3y=15   This is the same as  y= (5/3)x -5

Step-by-step explanation:

5x-3y=15

Move 5x to the right (becoming negative)

-3y = -5x +15

Divide everything by - 3

y= (5/3)x -5

  

y intersect= -5   ( line crosses y coordinate at -5)

Slope = 5/3      From -5  you start counting  (5 up,3 right,5 up,3 right....  OR    5 down,3 left,5 down,3 left........)

If g(x) = 8-2 (3x-4) what is the value of g(-5)

Answers

Answer: 46

Step-by-step explanation: g(-5)= 8-2 (3(-5)-4), equals 46! Hope this helps :)

The double number line shows that 555 pounds of avocados cost \$9$9dollar sign, 9.



Based on the ratio shown in the double number line, what is the cost for 111 pound of avocados?

Answers

Answer:

1 pound of avocado costs $1.8

Step-by-step explanation:

Allow me to rewrite your question for a better understanding and hope it ill fit the original one:

The double number line shows that 5 pounds of avocados cost $9. Based on the ratio shown in the double number line, what is the cost for 1 pound of avocados?

Here is my answer:

Given that:

5 pounds avocados = $9

They want to find out:

cost of 1 pound of avocado

So we use division to solve this problem:

$9:5 pounds = $1.8/pound or:

1 pound of avocado costs $1.8

Hope it will find you well

Thank you.

can i get brainliest by any chance i need 2 more

How many solutions does the equation 3x – 2x + 4 = 2 + x + 2 have?
A two solutions
B. infinitely many solutions
O
C. no solution
D. one solution

Answers

The answer I got was A

Adult tickets to a musical cost $15 and children's tickets cost $8. A total of 725 tickets were sold which brought in a total of $8775.

How many of each type of ticket were sold?

State the equation used to solve, along with both answers.

Answers

Given:

Cost of adult's ticket = $15

Cost of  children's  ticket = $8

Total tickets = 725

Total sales = $8775

To find:

The number of each type of ticket were sold.

Solution:

Let x be the number of adult tickets and y be the number of children's ticket.

Total tickets : [tex]x+y=725[/tex]         ...(i)

Total sales : [tex]15x+18y=8775[/tex]           ...(ii)

Multiply equation (i) by 15.

[tex]15x+15y=10875[/tex]         ...(iii)

Subtract (iii) from (ii),

[tex]15x+18y-15x-15y=8775-10875[/tex]

[tex]3x=-2100[/tex]

[tex]x=-700[/tex]

Putting x=-700 in (i), we get

[tex]-700+y=725[/tex]

[tex]y=725+700[/tex]

[tex]y=1425[/tex]

Therefore, the number of adult tickets is -700 and number of child tickets is 1425.

Note: The number of tickets cannot be negative. So, there must be some error in the question.

help plzzzzzzzzzzzzzz​

Answers

A,c,h,d. I think these are the answers cuz I had the same question and this is what I put
A,
C
H
D
I had the same one so I have those as my answers

Your making chocolate chip cookies. The recipe calls for 1/8 teaspoon salt to 1/4 teaspoon baking soda. How much salt is needed for one teaspoon of baking soda

Answers

Answer:

Step-by-step explanation:

this ratio of (1/8) to (1/4) can be written as a fraction

however, since we want to find out how much salt is needed for one teaspoon of baking soda, salt is the numerator (top) of the fraction and baking soda is the denominator (bottom) of the fraction

(1/8)/(1/4)

(1/8)x(4/1) when you divide fractions the second fraction switches the top and bottom

(1/8)x4

4/8

1/2

1/2 or 0.5 teaspoons of salt are needed per teaspoon of baking soda

Please help with this question!!!

Answers

It’s the first one (2,2)(3,5)(4,0)

is 50.5m
long. Find
A square garden
site perimeter and square​

Answers

Answer:

Could you rephrase the question?

Step-by-step explanation:

Draw the straight line y= 2-x

Answers

Answer:

Step-by-step explanation:

y = 2 - x

(0, 2)

(1, 1)

(2, 0)

The attached graph represents the line of y = 2 - x

How to draw the line?

The equation of the line is given as:

y = 2 - x

The above is a linear equation that has the following features:

Slope = -1y-intercept = 2

Next, we draw the line using a graphing tool

See attachment for the line of y = 2 - x

Read more about linear equations at:

https://brainly.com/question/14323743

#SPJ6

The Party Room at Sky Zone rents for an initial fee of $45 and then $12 per hour. Jamie’s Bill for her birthday party was $63.For how many hours did she rent the room?

Answers

Answer:

Step-by-step explanation:

From what i got was a hour and a half hope it helps

Answer:

She rented it for an hour and a half.

Step-by-step explanation:

Take $63 and subtract it by $45 because that is the initial fee. Then, with $18 left, divide it by 12. (18/12) The answer you get is 1.5.

The sum of 4 consecutive integers is 50. What is the first of the 4 integers? 1 point
Let N = the first integer. Write an equation using N. Then solve the equation
to find the first of the 4 integers. Show your steps.

Help I need to give this in I’ll mark as brainliest

Answers

Answer:

11+12+13+14=50

Step-by-step explanation:

Just estimate. We know that 15 times 4 = 60, so it has to be less than that. We know that 10 times 4 is 40, so it has to be in that range. Just do trial and error to find the exact answer. I'm editing this now and I realized that I didn't answer the question. I don't know how to write the equation using N but the first integer is 11.      

84.5 + n = 163.7 what is the answer for N

Answers

Answer:

N=79.2

Step-by-step explanation:

163.7-84.5=N

N=79.2

HELP!!!!! I will gove brainliest

Answers

Answer:

what do u need help on?

Step-by-step explanation:

i don't know what u need help with

Please i could really use your help:(

Answers

question 8 is : X= -12

question  7 is:X =  -10

Thats all I know

Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

The image you posted does not let us "click and drag." The angle bisector you create will cut the given 74° angle into two (equal) 37° angles. Your final image may look something like this:

Parents getting divorced please help and you'll get the brainlliest

Answers

Answer:

C

Step-by-step explanation:

I hope this helps!! Feel better

A parallelogram in a coordinate plane is translated, rotated, and then reflected. Which of the following statements about the parallelogram and its final image are true

Answers

Answer:

Option (4)

Step-by-step explanation:

Transformations like translation, rotation, dilation and reflection are the examples of rigid transformations.

Since, size and shape remains unchanged in the rigid transformation,

Image of a parallelogram will remain the same (congruent) after the given transformations.

Therefore, Option (4) will be the answer.

3 2/4 + 1/4 =
41/3-2/3 =
44/5 1/3 =
33/4 = 2/3 =

Answers

Answer:

jdjjsjsjjjdjdjjsjshshshud

1.) 15/4
2.) 13
3.) Be more specific or you suppose to Add, Multiply, Subtract or Divide
4.) If your trying to evaluate the expression then it is (False)

proteins are important to the body because they

Answers

Answer:

Proteins are important because it improves your immune system.

Step-by-step explanation:

It's a short answer, but I hope it helps loll.

Who needs help with Ratios?
2:3 OR 2 to 3 : or 2/3
Willing to help

Answers

Answer:

2/3 is the best

ANSWER:

Thanks for your willingness to help:)

Please help!!!!! The graph of function f is shown on the coordinate plane. Graph the line representing function g, if g is defined as shown below. Drawing Tools Select Line Click on a tool to begin drawing.

Answers

Answer:

g(x) = - x + 1

Step-by-step explanation:

Lets get the equation for the graphed function

Using two points:

(0, -6) and (3, 0)

Y-intercept is known, it is -6 as per the first point

Slope is:

m = (y2 - y1)/(x2 - x1)m = (0+6)/(3-0) = 6/3= 2

So the function f is:

f(x) = 2x - 6

g(x) is going to be

g(x) = -1/2f(x + 2) = -1/2 (2(x+2) - 6) = -1/2(2x + 4 - 6) = -1/2(2x - 2) = - x + 1

So

g(x) = -x + 1

The graph is attached

Answer: g(x) = - x + 1 i think

Step-by-step explanation:

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