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
kifflom [539]
3 years ago
14

Find the equation of the line through the point ( 3 , − 7 ) that is perpendicular to the line with equation y = x − 12 .

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

Answer:  y = -x - 4

Step-by-step explanation:

A perpendicular line has a slope that is the negative inverse of the reference line, which is y = x-12.  The slope here is 1, so the negative inverse would be -1/1, or -1.  The perpendicular line would therefore be:

y = -1x + b

We can find b by using the given point (3,-7) as a solution:

y = -1x + b

-7 = -1*3 + b

b = - 4

The equation is therefore   y = -x - 4

You might be interested in
Which expression has the same value as 4÷25 in fraction form
otez555 [7]

Answer:

4/25

Step-by-step explanation:

It is a fraction with 4 in the numerator and 25 in the denominator.

4

__

25

6 0
3 years ago
Find the two smallest possible solutions to part 1a​
bixtya [17]
<h3>Answer: A. 5/12, 25/12</h3>

============================

Work Shown:

12*sin(2pi/5*x)+10 = 16

12*sin(2pi/5*x) = 16-10

12*sin(2pi/5*x) = 6

sin(2pi/5*x) = 6/12

sin(2pi/5*x) = 0.5

2pi/5*x = arcsin(0.5)

2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n

2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n

x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)

x = 5/12+5n or x = 25/12+5n

these equations form the set of all solutions. The n is any integer.

--------

The two smallest positive solutions occur when n = 0, so,

x = 5/12+5n or x = 25/12+5n

x = 5/12+5*0 or x = 25/12+5*0

x = 5/12 or x = 25/12

--------

Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.

7 0
3 years ago
Read 2 more answers
Pls help i will give the brielliast answer
marishachu [46]
The answer is the last one the one that starts with king’s speech
6 0
3 years ago
Which choice is the solution to the inequality below?<br> 2 x &lt; 20
nasty-shy [4]

just divide 20 by coefficient of x

x < 20/2

x < 10

4 0
3 years ago
Where is the answer to the expression 4 − 8 located on a horizontal number line?
alexandr402 [8]

At the point -4


Since 4-8 = -4


Hope this helps!

8 0
3 years ago
Other questions:
  • What is the expression for "the difference between four times a number and three times that number"?
    10·2 answers
  • Fifteen times the square of a non-zero number is equal to 12 times the number. What is the number?
    11·1 answer
  • Which of these is the best definition of a circle? A. The set of all points in a plane that are equidistant from a single point
    13·2 answers
  • So can anyone help me with #1 and 2 and show work I have no idea what I’m doing
    7·1 answer
  • The percentages of voters classed as Liberals in three different election districts are divided as follows: in the first distric
    13·1 answer
  • When the sum of an unknown number and twenty two is divided by the unknown number, the quotient is 12. What is the unknown numbe
    8·1 answer
  • What is 2 equivalent fractions to the fraction 4/7
    15·1 answer
  • A shipping manager weighed a random sample from a shipment of 90 boxes and made the dot plot below. What is the mode of the dot
    8·1 answer
  • Find the value of x. Please please help!!
    13·1 answer
  • Slope of -7 and y -intercept of 1
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!