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
Naddika [18.5K]
3 years ago
11

Write the equation of the line perpendicular to x+2y=6 that passes through (5, 8).

Mathematics
2 answers:
Bingel [31]3 years ago
6 0

Answer:

y = 2x - 2

Step-by-step explanation:

x + 2y = 6 can be solved for y (and thus for slope m) as follows:

    2y = -x + 6, or y = (-1/2)x + 3.  

Any new line perpendicular to this one has a slope that is the negative reciprocal of (-1/2); that would be +2.

Starting from y = mx + b,

Replace x with the given 5, y with the given 8 and m with the calculated +2:

8 = 2(5) + b, or

b = -2

and then the desired equation is

y = 2x - 2

maria [59]3 years ago
4 0

Answer:

y = 2x-2

Step-by-step explanation:

First find the slope of the line

x+2y=6

2y = -x+6

y = -1/2x +3

This is in slope intercept form ( y = mx+b) so -1/2 is the slope

We want a line that is perpendicular so take the negative reciprocal of the slope

- ( 1/ (-1/2)) = 2

The slope of the perpendicular line is 2

y = 2x+b

Substitute the point into the equation

8 = 2(5) +b

8 = 10+b

-2 =b

The equation of the line perpendicular is

y = 2x-2

You might be interested in
If sam has 1 gallon of milk and he drinks 4 glass of 8 ounces how many dayswould he have drank the milk gone?
Mariulka [41]

1 gallon = 4 quarts

1 quart = 32 ounces, 1 quart = 32 ounces*1 glass/8 ounces = 4 glasses

1 quart = 4 glasses

1 gallon = 4 quarts = 16 glasses

If Sam drinks 4 glasses per day. and he has 16 glasses, then 16/4 = 4 days

Answer is 4 days.

3 0
3 years ago
Choose the expression that represents the pattern of your sequence: 10, 20, 40, 80, ....
Angelina_Jolie [31]
It's multiplying by 2 each time 10 x 2 = 20, 20 x 2 = 40, 40 x 2 = 80.
8 0
3 years ago
Read 2 more answers
Which expressions are equivalent?
vova2212 [387]
A) 3(a - b)  = 3*a +3*-b  = 3a - 3b  EQUAL

b) 2a(2 + b)  = 4a + 2ab     NOT EQUAL
3 0
3 years ago
Read 2 more answers
Need help with number 9 please, thanks.
timurjin [86]
Its point P because the lines between 1 and 2 are 1/4 2/4 and 3/4 and its looking for 1 1/4 so the correct is the line after number 1 on the x axis and the y axis is 2 which you can see p is located it
3 0
3 years ago
Ms. Gallegos burns calories riding her bike each hour. She wants to burn more than calories riding her bike at the same rate.
Leviafan [203]

i am not sure

but I think it is a

8 0
3 years ago
Other questions:
  • Which expression has a value of 15 when n = 7
    10·2 answers
  • Jim is a software salesman. his base salary is $2500 , and he makes an additional $40 for every copy of history is fun he sells.
    6·1 answer
  • If y varies inversely as the square of x, and y= 1/8 when x=1, find y when x=5
    8·2 answers
  • Find each side length,round to the nearest tenth if necessary 11.
    14·1 answer
  • The length of a rectangle is four times the width. If the width is represented by x, then write an algebraic expression that des
    7·1 answer
  • Apply the distributive property to factor out the greatest common factor.<br> 44+48=
    13·1 answer
  • Cole found BC in ΔABC . His work is shown below. Identify the first step in which his work shows an error. ​ A Step 1: 92 + 152
    9·1 answer
  • Part F – Model, solve, and interpret the word problem
    6·1 answer
  • Given the exponential equation 2X = 8, what is the logarithmic form of the equation in base 10? (5 points)
    6·1 answer
  • Evaluate the expression for b = -5, C = -15, and d = -15.<br> 13b + C + d =
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!