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
quester [9]
3 years ago
14

Write an equation that goes through (8,1) and is perpendicular to 2y + 4x =12

Mathematics
1 answer:
Serggg [28]3 years ago
5 0

Answer:

2y -x + 6 = 0

Step-by-step explanation:

Here a equation and a point is given to us and we are interested in finding a equation which is perpendicular to the given equation and passes through the given point .

The given equation is ,

\sf \longrightarrow 2y + 4x = 12 \\

\sf \longrightarrow 4x + 2y = 12

Firstly convert this into slope intercept form , to find out the slope of the line.

\sf \longrightarrow 2y = -4x +12\\

\sf \longrightarrow y =\dfrac{-4x+12}{2}\\

\sf \longrightarrow y =\dfrac{-4x}{2}+\dfrac{12}{2}\\

\sf \longrightarrow \red{ y = -2x + 6 }

Now on comparing it to slope intercept form which is y = mx + c , we have ,

  • m = -2

And as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be negative reciprocal of the slope of the given line. Therefore ,

\sf \longrightarrow m_{\perp}=\dfrac{-1}{-2}=\red{\dfrac{1}{2}}

Now we may use the point slope form of the line to find out the equation of the line using the given point . The point slope form is,

\sf \longrightarrow y - y_1 = m(x - x_1)

Now on substituting the respective values we have,

\sf \longrightarrow y - 1 = \dfrac{1}{2}(x-8)\\

\sf \longrightarrow 2(y-1 )= x -8 \\

\sf \longrightarrow 2y -2=x-8\\

\sf \longrightarrow \underline{\boxed{\bf 2y - x + 6=0}}

You might be interested in
Help!
aniked [119]
A: x intercept is -2 and y intercept is -3
6 0
3 years ago
Ricky ate 2 soft tacos, and 4 of his friends ate s soft tacos. If there were 18 2 points
shtirl [24]

Answer:

Each friend ate 4 tacos.

Step-by-step explanation:

"4 of his friends ate s tacos" is unclear. I assume it should be

"4 of his friends ate s tacos each."

total tacos = 2 + 4s = 18

4s = 16

s = 4

His four friends ate a total of 16 tacos, each friend eating 4 tacos.

Ricky's reason, i.e., that 6s = 18, is incorrect.

6s = 4s+2s, where 4s is what his friends ate in total.

That implies that Ricky ate 2s tacos, instead of 2 tacos. If 2s = 2 then s = 1, but then 6s ≠ 18.

4 0
3 years ago
What is the y- intercept of 2x-5y=35 <br> ****please hurry****
Alla [95]

Answer:  the  y-intercept is -7

Step-by-step explanation:  Rewrite the equation in slopr intercept form and simplify:

2x-5y=35   Subtract 2x from both sides

-5y = -2x + 35    Divide both sides by -5 to isolate y

y = 2x/5 -7

8 0
3 years ago
Read 2 more answers
The product of two consecutive even positive integers is 674 more than the sum of the two integers. Find the integers.
IrinaVladis [17]
2n(2n+2)=2n+2n+2+674\\&#10;4n^2+4n=4n+676\\&#10;4n^2=676\\&#10;n^2=169\\&#10;n=-13 \vee n=13
-13\not\ \textgreater \ 0

n=13\\&#10;2n=26\\&#10;2n+2=28

It's 26 and 28.
7 0
3 years ago
2.85 as a mixed number
WARRIOR [948]
The number 2.85 can be writen using the fraction 285/100 which is equal to 57/20 when reduced to lowest terms.
It is also equal to 2 17/20 when writen as a mixed number.
You can use the following approximate value(s) for this number:57/20 =~ 2 6/7 (if you admit a error of 0.250627%)2.85 =~ 2 5/6 (if you admit a error of -0.584795%)2.85 =~ 3 (if you admit a error of 5.263158%)
3 0
3 years ago
Read 2 more answers
Other questions:
  • In Washington, D.C., Constitution Ave. meets Pennsylvania Ave. at a 25° angle. What is the measure of the complementary angle to
    14·1 answer
  • Stacy rolls a pair of six-sided fair dice.
    9·1 answer
  • How many ounces in a gallon?
    12·2 answers
  • An athletic director pays $90 for 12 sun visors for the softball team. how much will the athletic director pay to buy 15 more su
    8·1 answer
  • The school choir is selling fruit boxes to earn money for new robes. The fruit boxes sell for $30
    12·1 answer
  • Helllppppppp please
    11·1 answer
  • In the diagram to the right what is the length of N
    9·1 answer
  • On Tuesday 62% of the customers who bought toys on Amazon made additional purchases. There were 250 customers who bought toys.
    15·1 answer
  • What is 1234565432345676543 minus23456765432123456 times45 this is not gonna be easy mwahahah
    8·2 answers
  • Find the common difference-3, -3, -300, -3000,
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!