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
MAXImum [283]
3 years ago
5

Directed line segment has endpoints P(– 8, – 4) and Q(4, 12). Determine the point that partitions the directed line segment in a

ratio of 3:1.
Mathematics
1 answer:
larisa86 [58]3 years ago
7 0

Answer:

Point (1,8)  

Step-by-step explanation:

We will use segment formula to find the coordinates of point that will partition our line segment PQ in a ratio 3:1.

When a point divides any segment internally in the ratio m:n, the formula is:

[x=\frac{mx_2+nx_1}{m+n},y= \frac{my_2+ny_1}{m+n}]

Let us substitute coordinates of point P and Q as:

x_1=-8,

y_1=-4

x_2=4

y_2=12

m=3

n=1

[x=\frac{(3*4)+(1*-8)}{3+1},y=\frac{(3*12)+(1*-4)}{3+1}]

[x=\frac{12-8}{4},y=\frac{36-4}{4}]

[x=\frac{4}{4},y=\frac{32}{4}]

[x=1,y=8]

Therefore, point (1,8) will partition the directed line segment PQ in a ratio 3:1.

   

You might be interested in
Please solve this problem, I have no idea with it
lord [1]

Answer:

(x-3)(x-6)

Step-by-step explanation:

Fill in g into f and simplify:

(x-2)²-5(x-2)+4 =

x² - 4x + 4 - 5x + 10 + 4 =

x² - 9x + 18 =

(x-3)(x-6)

4 0
3 years ago
F(x)= (〖2x〗^2-3x)/(x+6 ) asymptote
just olya [345]

Answer:Hope this can help you

Step-by-step explanation:

3 0
3 years ago
Which two values of X are roots of the polynomial below 4x^2-6x+1
PtichkaEL [24]

4x^2-6x+1=0\\\\a=4,\ b=-6,\ c=1\\\\\Delta=b^2-4ac\\\\\Delta=(-6)^2-4(4)(1)=36-16=20\\\\\sqrt\Delta=\sqrt{20}=\sqrt{4\cdot5}=\sqrt4\cdot\sqrt5=2\sqrt5\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a},\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\x_1=\dfrac{-(-6)-2\sqrt5}{2\cdot4}=\dfrac{3-\sqrt5}{4}\\\\x_2=\dfrac{-(-6)+2\sqrt5}{2\cdot4}=\dfrac{3+\sqrt5}{4}

5 0
3 years ago
Hi I need help on this!!
MA_775_DIABLO [31]

Answer:

VOLUME OF THE CYLINDER=πr²h

=3.14×4²×9

=3.14×16×9

=452.16 mm³

8 0
2 years ago
HELP ASAP
Mamont248 [21]

Answer:

m = 0

Step-by-step explanation:

distribute

7 + 35m + 2m = 7 +2m

add 35m + 2m

7 + 37m = 7 + 2m

subtract 2 from 37m

7 + 35m = 7

subtract 7 from 7

35m = 0

0 ÷ 35 = 0

so technically the answer is 0

I'm not 100% sure but I do believe this is right

3 0
3 years ago
Other questions:
  • 14 thanks you so much
    9·2 answers
  • A rocket travels 22000 per hour to leave earths gravitational pull. if the rocket continued at that speed, about how many days w
    10·1 answer
  • Meh need some help.Question 2 of 8
    13·2 answers
  • 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
  • Which rates are unit rates?
    12·1 answer
  • Is it a function or not a function?
    14·2 answers
  • From first to last, when did the presidents serve? Drag the presidents’ names into the correct order according to when they serv
    10·2 answers
  • Select all of the correct solutions for the following equation
    13·1 answer
  • Find the solution to -36 = -6b.<br><br> b = <br> PLEASE FAST
    7·2 answers
  • What fraction is equivalent to 1/6<br><br> A. 3/8<br><br> B. 2/8<br><br> C. 3/24<br><br> D. 4/24
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!