1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kotegsom [21]
3 years ago
14

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.

Mathematics
1 answer:
VladimirAG [237]3 years ago
7 0

Answer:

P ( -1, -3)

Step-by-step explanation:

Given ratio is AP : PB = 3 : 2 = m : n  and points A(5,6) B(-5,-9)

We will calculate coordinates of the point P which divides line segment AB

in the following way:

xp = (n · xa + m · xb) / (m+n) = (2 · 5 + 3 · (-5)) / (3+2) = (10-15) / 5 = -5/5 = -1

xp = -1

yp = (n · ya + m · yb) / (m+n) = (2 · 6 + 3 · (-9)) / (3+2) = (12-27) / 5 = -15/5 = -3

yp = -3

Point P( -1, -3)

God with you!!!

You might be interested in
A scientist wants to know how many catfish are in
djverab [1.8K]

Answer:

105 catfish

Step-by-step explanation:

48 - 3 = 45

45 + 60 = 105

3 0
2 years ago
5x-4-7x+14 x is a variable
Bess [88]

Answer:

yes

Step-by-step explanation:

Answere=(-2x+10)

hope it help you

5 0
2 years ago
Read 2 more answers
Which equation is a point slope form equation for line AB ?
kap26 [50]

Answer:

y-5=\frac{3}{4}(x-6)

Step-by-step explanation:

we know that

The equation of a line in point slope form is equal to

y-y1=m(x-x1)

step 1

Find the slope m

we have the points

A(-2,-1),B(6,5)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{5+1}{6+2}

m=\frac{6}{8}

simplify

m=\frac{3}{4}

step 2

Find the equation of the line

we have

(x1,y1)=(6,5)

m=\frac{3}{4}

substitute

y-y1=m(x-x1)

y-5=\frac{3}{4}(x-6)

3 0
3 years ago
Q
Tema [17]

Answer:

y = \frac{1}{2} x+7

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: \frac{y2-y1}{x2-x1}

Given points: (-6, 4), (6, 10)

(-6, 4) = (x1, y1)

(6, 10) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

\frac{10-4}{6-(-6)}

Simplify:

10 - 4 = 6

6 - (-6) = 6 + 6 = 12

\frac{6}{12}=\frac{1}{2}

The slope is \frac{1}{2}.

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (6, 10)) into the equation and solve for b:

10 = \frac{1}{2}(6)+b

10 = 3 + b

7 = b

The y-intercept is 7.

Now that we know the slope and the y-intercept, we can write the equation:

y = \frac{1}{2} x+7

4 0
3 years ago
The weights of 1250 pumpkins are normally distributed with mean of 28 pounds and a standard deviation of 6 pounds. About how man
Mekhanik [1.2K]
Kropot72
kropot72 3 years ago
This can be solved by using a standard normal distribution table. The z-score for 34 pounds is 1, the reason being that 34 is one standard deviation above the mean of 28 pounds.
Can use the table to find the cumulative probability for z = 1.00 and post the result? If you do this we can do the next simple steps.
5 0
2 years ago
Other questions:
  • When completing the square on the equation c 2 11c = 12, the resulting equation is:
    7·1 answer
  • Pam open a bank account with $200 deposit that account had a simple interest rate of 4.6% her most recent bank statement shows a
    14·1 answer
  • Which of the following while clauses will stop the loop when the value in the age variable is less than the number 0?
    13·1 answer
  • How do you solve 2-3y >1 as a inequalities​
    7·1 answer
  • Bianca earned $399.60 after working for 18.5 hours. How much did she earn for one hour?​
    7·2 answers
  • PLS HELP WITH SCREENHOT ASAP<br> I GIVE BRAINLIEST THANKS :)
    14·2 answers
  • Are 5(8y - 8) and 40y - 40 equal?​
    10·1 answer
  • PLEASE HELLPPPPPPPPPPPPPPPPPPPPPPPPPPP
    14·1 answer
  • Can somebody plz help answer all these questions (only if u know how to do it) lol thanks!!!
    12·2 answers
  • Find the height (in meters) of a storage tank in the shape of a right circular cylinder that has a circumference measuring 4 m a
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!