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
Nikitich [7]
3 years ago
11

Which lines are perpendicular to the line y - 1 = 1(x+2)? Check all that apply.

Mathematics
1 answer:
Drupady [299]3 years ago
7 0

Answer:

The general equation of the lines that are perpendicular is:

y=-x+b

b can by any number.

Step-by-step explanation:

The equation of a line is given by:

y=mx+a

where m is the slope and b is the intercept

The equation of a perpendicular line to the previuos one is:

y=- \frac{1}{m} x+b

That means that the slope of a perpendicular line is inverse and sign opposite to the other line.

Hence, the equation given is:

y - 1 = 1(x+2) \\ y=x+2+1 \\ y=x+3

m would be:

m=1

So the perpendicular slope would be:

- \frac{1}{m}=- \frac{1}{1} =-1

The general equation of the lines that are perpendicular to y=x+3 is:

y=-x+b

b can be any number

In attached picture:

y=x+3 is the red line

y=-x+b is the blue line

You might be interested in
The following table shows the assets and liabilities of the Smith family in 2005 and 2009.
umka21 [38]
Over a million dollars a year were gained with the smith family
3 0
3 years ago
Read 2 more answers
A polynomial function with a leading coefficient
kompoz [17]

Answer:

4

Step-by-step explanation:

6 0
3 years ago
Help pleaseee really dont know how to start with this​
Usimov [2.4K]

Answer:

Slope is positive for all x, so always increasing

Step-by-step explanation:

Increasing/decreasing depends on the slope of the function, which is f'

f'(x) = 9x² + 18x + 25

If f'(x) > 0 for all x, then his claim is correct (increasing for all x)

If there's even 1 x-value for which f'(x) is not positive, his claim is incorrect

f'(x) is a quadratic function.

9x² + 18x + 25

9(x² + 2x) + 25

9(x² + 2(x)(1) + 1² - 1²) + 25

9(x + 1)² - 9 + 25

9(x + 1)² + 16

Since the minimum value of f' is 16, it's always positive.

Hence, the claim is correct

6 0
3 years ago
What is the solution of the equation 9 = -2x + 15?<br> A -21<br> B -12<br> C 3<br> D 12
Nataly [62]
I think the answer is c: three
7 0
3 years ago
Read 2 more answers
A nursing student works at a doctor's office for $15 per hour and tutors other students for $25 per hour.
k0ka [10]

The system of inequalities represents the given constraints will be x + y < 20 and 15x + 25y > 375.

<h3>What is inequality?</h3>

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

A nursing student works at a doctor's office for $15 per hour and tutors other students for $25 per hour.

Let x be the number of hours for the doctor's office and y be the number of hours for the tutor.

The student cannot work more than 20 hours each week.

      x + y < 20 ...1

15x + 25y > 375 ...2

The system of inequalities represents the given constraints will be x + y < 20 and 15x + 25y > 375.

More about the inequality link is given below.

brainly.com/question/19491153

#SPJ1

8 0
2 years ago
Other questions:
  • What is the mixed number fraction of <br> 6 2/5 - 2 9/10
    9·1 answer
  • This set of points is on the graph of a function.
    10·2 answers
  • Will make brainiest pls help :((
    15·1 answer
  • I don't know: Person 1, person 2, and person 3 made $660, if the ratio is 3:4:5, how much did person 1 person 2, and person 3 ge
    10·1 answer
  • 50 is 90% of what plz help
    9·1 answer
  • What does it mean that a sample is representative of the population?
    9·1 answer
  • Factor: 2x^2 + 5x + 3​
    9·1 answer
  • Which graph best represents the equation 12x+6y=0?
    7·1 answer
  • I'm new to algebra and I'm having trouble solving this equation can someone answer with steps
    13·1 answer
  • 2; 4; 6; 8; ...
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!