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
STatiana [176]
3 years ago
14

Find the ratio in which y-axis divides the line segment joining the points A(5, -6), and B (-1, -4). Also find the coordinates o

f the point of division.
Mathematics
2 answers:
lora16 [44]3 years ago
7 0

Answer:

Something like this

Step-by-step explanation:

distance √(-1 - 5)² + (-6 - -4)² = √36 + 4 = √40 = 6.32

slope = 2/-6 = -1/3

distance (-1,-4) to (0, -4.63)

√(-1 - 0)² + (-4 - -4.63...)² = √1.4 = 1.18

6.32 - 1.18 = 5.14

1.18 : 5.14

ioda3 years ago
6 0

Answer:

ratio 5:1

coordinates (0,-13/3)

Step-by-step explanation:

let any point on y-axis  (0,y)  divides the join of A(5,-6) and B(-1,-4) in the ratio k:1

0=\frac{-1(k)+1(5)}{k+1} \\or~0=-k+5\\or~ k=5\\\therefore ~y-axis~ divides ~A,B~in~the~ratio~5:1\\y=\frac{5(-4)+1(-6)}{5+1} =\frac{-26}{6} =-\frac{13}{3}

so coordinates of point of intersection are (0,-13/3)

You might be interested in
Which equation matches the graph?<br> PLEASE HELP MEEEE
Rama09 [41]

Answer: Y = 3x - 2

Work: Okay, let's take this step by step. Since the Y - Intercept is -2, put a dot on -2 on the (Y) Line. It also just so happens that the line goes through -2. Now with 3x. 3x is the same thing as 3x / 1. Since three is on the top, you go up three from -2, and then move over one spot because of the 1 (If it was a negative one, you go the opposite direction) Alright, now you see that the line also passes through that point as well, so it has to be y = 3x -2

<em>I hope this helps, and Happy Holidays! :)</em>

8 0
3 years ago
What is the area of the shaded sector of the circle?
oee [108]

Answer:

area if sector= teeta. ×πr²

360

<u>120</u>°. ×<u>2</u><u>2</u>×9×9

360. 7

<u>3×1782</u>

7

5346

5 0
3 years ago
And isosceles right triangle has two legs that are the same length and hypotenuse of 10 inches. Find the dimension of the leg.
amid [387]
Special Triangles Theorem
leg1=leg2=a
hypotenuse=a√2=10
Both Legs are 5√2 inches
6 0
3 years ago
A,b,c or d? Please help
lisabon 2012 [21]
C
Mathy49 See you later lol deleted my old one cuz it's in spanish
3 0
3 years ago
What is the value of X if 9^x^-^1-2=25?
nadezda [96]

Answer:

\frac{5}{2}

Step-by-step explanation:

First, add two to both sides to get 9^{x-1}=27

There are two ways to solve this from here

  1. Think about what power you would have to raise 9 to to get to 27. 9^{\frac{1}{2}} = 3 and 3^3=27. So, multiplying the powers (because it is a power to a power) you get 9^{\frac{3}{2}}=27. This means that x - 1 = \frac{3}{2} or x = \frac{5}{2}.
  2. Take the log of both sides.

This gives us \log_9(27)=x-1\\\log_9(27)+1=x\\\log_9(3^3)+1=x\\3\log_9(3)+1=x\\3(\frac{1}{2})+1=x\\\frac{3}{2}+1 = x\\\\\frac{5}{2} = x

4 0
3 years ago
Other questions:
  • Four times the sum of a number and 15 is at least 120. Find all possible solutions for x
    7·1 answer
  • How will you solve this?
    11·1 answer
  • {29, 29, 29, 28, 28, 27}
    5·2 answers
  • Need help....ASAP on both 7 AND 8
    12·1 answer
  • The graph below shows the amount of money left in the school’s desk fund, f, after d desks have been purchased. A graph titled D
    15·2 answers
  • Choose an ecosystem near you.List three organisms in the ecosystem and describe limiting factors for each of them?
    5·1 answer
  • A certain laundry detergent recommends \frac{1}{4}
    10·1 answer
  • A box is filled with several party favors. It contains 12 hats, 15 noisemakers, 10 finger traps, and 5 bags of confetti. Let H =
    9·1 answer
  • Help meeeeeeeeeeeeee pleasee
    12·2 answers
  • Anna works at an electronics
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!