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
Gnesinka [82]
3 years ago
13

What are the coordinates of the point on the directed line segment from (4, -3)(4,−3) to (9, -8)(9,−8) that partitions the segme

nt into a ratio of 3 to 2?
Mathematics
1 answer:
jekas [21]3 years ago
8 0

Answer:

  (7, -6)

Step-by-step explanation:

You want to find point X on the segment from A to B such that ...

  (X -A)/(B -X) = 3/2

  2(X -A) = 3(B -X) . . . . . . cross multiply

  2X -2A = 3B -3X . . . . . eliminate parentheses

  5X = 2A +3B . . . . . . . . add 3X +2A

  X = (2A +3B)/5 . . . . . . . divide by 5

Filling in the given points for A and B, we have ...

  X = (2(4, -3) +3(9, -8))/5 = (8+27, -6-24)/5 = (35, -30)/5

  X = (7, -6)

The point that divides the segment in the proportions 3:2 is (7, -6).

You might be interested in
A cylinder has been cut out of a solid. Find the volume of the remaining solid. Round answer to the nearest tenth.
Vladimir79 [104]

Answer:

98.19

Step-by-step explanation:

Volume of whole cube minus volume of cylinder. volume of cylinder is pi x r^2 x h

3 0
3 years ago
Square A is a scaled version of square B. The dimensions of square A are three times the dimensions of square B. The area of squ
denis23 [38]

Answer:

The side of square A is 30 cm.

Step-by-step explanation:

Given that,

The dimensions of square A are three times the dimensions of square B.

The area of square A is 900 sq cm.

Side of square A = 3( side of square B)

Let the side of square B is b. So,

Side of square A, a = 3b

We know that, the area of square is side². So,

(3b)^2=900\\\\9b^2=900\\\\b^2=100\\\\b=10\ cm

Side of square A, a = 3(10) = 30 cm

Hence, the side of square A is 30 cm.

8 0
3 years ago
Determine the graph of the polar equation r=4/(1-1/2cosx(theta))
crimeas [40]

Answer:

  see below

Step-by-step explanation:

We assume you want the graph of ...

  r=\dfrac{4}{1-\frac{1}{2}\cos{(\theta)}}

A graphing calculator or spreadsheet is useful for this.

__

You know cos(θ) = cos(-θ), so the graph is symmetrical about the x-axis. You can evaluate the function at a few points to find the general outline.

  r at 0° = 8

  r at 30° ≈ 7.05

  r at 45° ≈ 6.19

  r at 60° ≈ 5.33

  r at 90° = 4

  r at 120° = 3.2

  r at 135° ≈ 2.96

  r at 150° ≈ 2.79

  r at 180° ≈ 2.67

6 0
3 years ago
Answer both questions if you cant see all the answers its fine all u need is the question
neonofarm [45]
The circumference of Leon's trash can is 76.245 inches
The line segment that could be the diameter is line segment FK
4 0
3 years ago
If 84 cookies will serve 24 students, how many cookies are needed for 30 students ?
allsm [11]
105 cookies
84 \div 24 = 3.5
3.5 \times 30 = 105
6 0
3 years ago
Read 2 more answers
Other questions:
  • Help with math 360×610÷409= what help
    12·1 answer
  • 70 students at a school were asked to complete a survey about the location of their next field trip. 28 students chose the zoo 3
    5·2 answers
  • I need to find the percentage of each round to the nearest cent if necessary.
    11·1 answer
  • While on a beach vacation, Tasha makes a scale drawing of points of interest between two
    10·1 answer
  • Which is the correct form for the quotient and remainder, written as partial fractions, of 3x^3-4x^2+5x-19/x^2+2x+3
    12·1 answer
  • The width of a rectangle is 12 inches more than the length. The perimeter is 76 inches. Find the width and the length.
    8·1 answer
  • What is the slope of the line?<br> I NEED HELPP?!
    5·1 answer
  • Find the unit rate. $46.54 for 5 hours<br><br>please answer and explain :)​
    13·1 answer
  • Hi Brainly users! I have an 8th grade math problem for you. 15 points plus Brainiest for the person with the most helpful answer
    12·1 answer
  • Pls help i don’t understand this lolllll
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!