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
Illusion [34]
3 years ago
7

Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).

Mathematics
1 answer:
weeeeeb [17]3 years ago
5 0

Answer:

\[y = (-1/2) * x + 6\]

Step-by-step explanation:

Equation of the given line: y=2x+2

Hence the slope of the line is given by 2

Any line which is perpendicular to the given line will have a slope m such that m*2 = -1

Or, \[m = \frac{-1}{2}\]

Only options 2 and 3 satisfy this condition.

The line is also supposed to pass through the point (6,3).

Substituting these values in the option 2:

\[3 = (-1/2) * 6 + 3\]

Or, \[ 3 =0 \] which is false . Hence option 2 is not valid.

Now substituting (6,3) in option 3:

\[3 = (-1/2) * 6 + 6\]

Or, \[ 3 =3 \] which is true . Hence option 3 is the required equation of the line.

You might be interested in
Graph of the equation?
Elis [28]
The graph of equation is a line
7 0
3 years ago
Robert is a salesperson. He receives 7% commission on each piece of electronic equipment he sells. How much commission will he r
Shalnov [3]

Answer:

He receives $476 in comission.

Step-by-step explanation:

This question can be solved using a rule of three.

$6,800 is 100% = 1. x, which is his commision, is 7% = 0.07. Then

6800 - 1

x - 0.07

x = 6800*0.07

x = 476

He receives $476 in comission.

7 0
2 years ago
Pla help pls : What is the first step to solving the following equation?<br> 5x – 11 = 42
kow [346]

Answer:

x = 10.6

Step-by-step explanation:

5x - 11 = 42

first +11 so,

5x = 53

then ÷5

x = 10.6

3 0
2 years ago
At the beginning of a snowstorm, Grayson had 10 inches of snow on his lawn. The snow then began to fall at a constant rate of 0.
maxonik [38]

Answer:

  • Grayson had 10 inches of snow in his lawn
  • the snow falls at a constant rate of 0.5 inches per hour
  • no snow was melting
  • the snow has fallen for 3 hours  

Let y be the height of the snow in the lawn

Grayson had 10 inches at the beginning (at t=0) so y= 10

3 hours passed so y= 10 + 3*0.5 = 11.5 inches

Grayson had 11.5 inches after three hours

Assuming that the snow continued to fall for an unkhown time t

y = 0.5*t + 10

we had 10 at the beginning so we add 10 (+10)

the snow is growing by 0.5 inches in the single hour so we multiply by 0.5

t is the time and it can 4, 5, 6 ...... hours

Just like a function :

  • 0.5 is the slope
  • t is the variable
  • 10 is the y-intercept

3 0
2 years ago
3x+3 gbggggggggggggggggggggg
ella [17]

Answer:

I think it is 3(x+1) not sure but try it(it is a graph answer)

7 0
2 years ago
Other questions:
  • <img src="https://tex.z-dn.net/?f=%20%5Cpi%20%20x%5E%7B4%7D%20%2C%20%5Cpi%20%20x%5E%7B6%7D%20%2C%20%5Cpi%20%20x%5E%7B8%7D%20%2C%
    7·1 answer
  • What’s the value of x
    15·1 answer
  • flora volunteered to drive 210 miles to pick up her sister from summer camp. she stopped 140 miles into the trip to eat lunch. w
    8·1 answer
  • The formula for the area of a triangle is A=12bh , where b is the base of the triangle and h is the height of the triangle. What
    12·2 answers
  • What is the area of a circle with a diameter of 36 millimeters?
    8·2 answers
  • BRAINLIEST AND POINTS!! EASY!!!
    15·2 answers
  • six people went into the woods to look for truffles. On average they collected 7 truffles per person. The average of the last fo
    13·1 answer
  • Here, take some coins. 5+5?
    5·2 answers
  • a first number plus twice a second number is 4. twice the first number plus the second number totals 26. find the numbers
    9·1 answer
  • What is -2x-5=4????
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!