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
k0ka [10]
3 years ago
15

Indicate the equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (4, 1) and

(2, -5).
Mathematics
1 answer:
Anika [276]3 years ago
3 0

9514 1404 393

Answer:

  x +3y = -3

Step-by-step explanation:

The midpoint of the segment with the given end points is ...

  M = ((4, 1) +(2, -5))/2 = (6, -4)/2 = (3, -2)

The difference between coordinates of the given points is ...

  (∆x, ∆y) = (4, 1) -(2, -5) = (2, 6)

__

The equation of the perpendicular bisector can be written as ...

  ∆x(x -h) +∆y(y -k) = 0 . . . . line through (h, k) ⊥ to one with slope ∆y/∆x

  2(x -3) +6(y -(-2)) = 0

  2x +6y +6 = 0 . . . . . simplify to a general-form equation

To put this in standard form, we need the constant on the right, and all numbers mutually prime. We can subtract 6 and divide by 2 to get there.

  2x +6y = -6

  x + 3y = -3

You might be interested in
Solve this using square roots and show your work please<br> 4x^2-256=0
mamaluj [8]

Answer:

x = ± 8

Step-by-step explanation:

Given

4x² - 256 = 0 ( add 256 to both sides )

4x² = 256 ( divide both sides by 4 )

x² = 64 ( take the square root of both sides )

x = ± \sqrt{64} = ± 8

Solutions are x = - 8, x = 8

5 0
3 years ago
Nikki gathered data about the length of time she spent listening to the radio and the number of commercials she heard. She organ
marishachu [46]

Answer:

C. 63

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What is the volume of the cylinder?
Anna007 [38]

Answer:

  B.  2010.62 ft³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h . . . . . where r is the radius and h is the height

Filling in the numbers and doing the arithmetic, we get ...

  V = π(8 ft)²(10 ft) = 640π ft³ ≈ 2010.6193 ft³ ≈ 2010.62 ft³

The volume of the cylinder is about 2010.62 ft³.

7 0
3 years ago
Divede decimals by a whole number in this question 3.9÷3​
IgorC [24]

Answer:

The answer is 1.3, 1 3/10

4 0
2 years ago
Read 2 more answers
Graham drove 42 1/3 miles in 1 1/3 hours. A. How many miles did he drive in one hour?
Nonamiya [84]

change to  improper fractions

42 1/3

(3* 42 +1) /3 = 127/3

1 1/3 = (3*1 +1) /3 = 4/3

127/3 divided by 4/3

copy dot flip

127/3 * 3/4

127/4

31 3/4 miles per hour

He drove 31  3/4 miles in one hour

31 3/4 miles  1 mile

------------     = ------------

1 hours             x hour

using cross products

31 3/4 * x =1*1

x = 1/  127/4 (copy dot flip)

x = 1 * 4/127

x = 4/127

it takes 4/127 of 1 hour (approx .03 hours)

6 0
3 years ago
Other questions:
  • I really need help with these..
    13·1 answer
  • Your mother takes you to your grandparents’ house for dinner. She drives 60 minutes at a constant speed of 40 miles per hour. Sh
    8·1 answer
  • P is between A and E, AE=27.3 and AP=12.8. What is the length of PE?
    6·1 answer
  • Why is 6/8 greater than 5/8 but less than 7/8 I need to explain
    15·1 answer
  • Please helppppppp meeeeeeeeeeee
    9·1 answer
  • Can someone please help?
    8·1 answer
  • Can someone help me with this pleasee!?
    13·1 answer
  • Can you someone help me please
    8·1 answer
  • A radio is on sale for $76.50 at a 15% discount. What was the original selling price?
    6·1 answer
  • Identify the classifications to which this figure belongs. You must select all that apply.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!