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sesenic [268]
2 years ago
11

2

Mathematics
1 answer:
jekas [21]2 years ago
3 0

option B is the answer of this question

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The coordinates of the endpoints of directed line sergeant ABC are A(-8,7) and C(7,-13). If AB:BC = 3:2 then the coordinates of
cestrela7 [59]

The correct answer is A) (1,-5)

Further explanation:

Given points are:

A(-8,7)=(x1,y1)

C(7,13)=(x2,y2)

IT is also given that

AB:BC=3:2

Which means that B divides the line segment in 3:2

Here,

m=3

n=2

To find the coordinates of B

x_B=\frac{mx_2+nx_1}{m+n}\\ = \frac{(3)(7)+(2)(-8)}{3+2}\\=\frac{21-16}{5}\\=\frac{5}{5}\\=1\\y_B=\frac{my_2+ny_1}{m+n}\\=\frac{(3)(-13)+(2)(7)}{3+2}\\=\frac{-39+14}{5}\\=\frac{-25}{5}\\=-5

The coordinates of point B are (1,-5)

The correct answer is A) (1,-5)

Keywords: Coordinate geometry, mid-point

Learn more about coordinate geometry at:

  • brainly.com/question/4819659
  • brainly.com/question/4691222

#learnwithBrainly

7 0
3 years ago
Tonka weighs 150 lb. He is loading a freight elevator with identical 67-pound boxes. The elevator can carry no more than 2000 lb
tia_tia [17]

all

150+67=217 woohoo it's 217 not 2000 sooo him and all boxes

7 0
3 years ago
Q
katrin2010 [14]

Answer:

v= -(-v)

Step-by-step explanation:

3 0
2 years ago
Cheryl plans to bake cookies tomorrow and needs to purchase chocolate chips and pecans for no more than $25 total. Chocolate chi
boyakko [2]

The inequality that correctly represents this scenario is given as follows:

2x + 5y \leq 25

The graph is given at the end of the question.

<h3>What is a system of inequalities?</h3>

A system of inequalities is when two or more variables are related, and inequalities are built to find the values of each variable.

In this problem, the variables are given as follows:

  • Variable x: number of chocolate chips purchased.
  • Variable y: number of pecans sold.

Chocolate chips are $2 per pound and pecans are $5 per pound. She wants to spend at most $25, hence:

2x + 5y \leq 25

More can be learned about a system of inequalities at brainly.com/question/3656398

#SPJ1

6 0
2 years ago
2. What is the x-value to the solution for the system of equations y = -5x - 9 and y = 2x<br> + 5.
pav-90 [236]

Answer:

The x-value is -2

Step-by-step explanation:

U can substitute any of the equations for y

-5x + (-9) = 2x + 5

-9 = 7x + 5

-14 = 7x

-2 = x

x = 2

7 0
2 years ago
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