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
azamat
3 years ago
6

Line segment AB has endpoints A(1, 2) and B(5, 3). Find the coordinates of the point that divides the line segment directed from

A to B in the ratio of 1:3.
A) (4, 2)
B) (3, 5/2)
C) (2/3, 2)
D) (2, 9/4)
Mathematics
1 answer:
ikadub [295]3 years ago
4 0

Now despite what you may think, <u>1:3 is not 1/3 in this situation,</u> but rather it's "1 equal part to 3 equal parts", which is a total of 4 equal parts. <u>In short, they want the point that is at the 1/4 mark from A to B.</u>

Firstly, how many units apart is 1 to 5 (the x-coordinates)? That would be 4 units apart. Multiply 1/4 by 4:

\frac{1}{4}\times \frac{4}{1}=\frac{4}{4}=1

Next, how many units apart is 2 to 3 (the y-coordinates)? That would be 1 unit apart. Multiply 1/4 by 1:

\frac{1}{4}\times \frac{1}{1}=\frac{1}{4}

Next, since from 1 to 5 you are <u>increasing</u>, add 1 to 1.

1+1=2

2 is the x-coordinate of the new point.

Next, since from 2 to 3 you are <u>increasing</u>, add 1/4 to 2.

2+\frac{1}{4}=2\frac{1}{4}=\frac{9}{4}

9/4 is the y-coordinate of the new point.

<u>Putting it together, the point which divides AB into a 1:3 ratio is (2, 9/4), or D.</u>

You might be interested in
4. Which symbols are represented by an open circle on the number line? (Select all that apply.)
Neko [114]

Answer:

The first and second choice since those symbols are the ones that apply to open circle on the number line and the 2 last ones are closed circles

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the value of x in the equation 3x-5=1/2x+2x
Drupady [299]

Answer:

exact form: x= 11/2

Decimal Form

X= 5.5

Mixed form

X= 5 1/2

Step-by-step explanation:

8 0
3 years ago
What is the distance between 15/16 and 3 1/16?
VashaNatasha [74]

Answer:

18 is the deistance

Step-by-step explanation:

The answer is 18 because 3 times 16 is 33 and 33 minus 15 gives you the correct answer got of 18.

8 0
3 years ago
2(x-5)=10 but the pemdas is backwards
ale4655 [162]

Answer:

2 (x-5) = 10

2x-10 = 10

2x = 10 + 10

x = 20/2

x = 10

Step-by-step explanation:

8 0
3 years ago
Rearrange the equation so x is the independent variable. y+6=5(x-4)
soldier1979 [14.2K]

Answer:

x = (y + 26)/5

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

y + 6 = 5(x - 4)

Step 2: Distribute

y + 6 = 5x - 20

Step 3: Isolate <em>x</em>

y + 26 = 5x

Step 4: Isolate variable <em>x</em>

(y + 26)/5 = x

Step 5: Rewrite

x = (y + 26)/5

7 0
3 years ago
Other questions:
  • How does a digit in the ten thousand place compare to a digit in the thousands place?
    11·1 answer
  • Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. Then she donates $2 to clean wate
    7·1 answer
  • I need help asapp:) thank youu
    10·2 answers
  • Suppose that two people standing 2 miles apart both see the burst from a fireworks display. After a period of​ time, the first p
    12·1 answer
  • What is the quotient of: (x4+6x3+5x2−18x−24)÷(x2−3)
    14·2 answers
  • Help please im so close to finishing my class
    13·1 answer
  • Simplify:<br> 3 [23 + (4 – 2)3 – (6 - 2)2]<br> A. 3<br><br> B. 12<br> D. 24<br><br> E-3
    14·1 answer
  • Hey please help me be geniune this is a timed test and I really need help will mark brianliest :( please no links I’m tired of s
    15·1 answer
  • PLS HELP ILL MARK BRAIN EXPLAIN HOW KNOW YOUR ANSWER!
    6·2 answers
  • Which expressions are equivalent to 2^5x2^4? Check all that apply
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!