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
kupik [55]
3 years ago
5

Write an equation of the line that passes through (2,-4) and is perpendicular to the line

Mathematics
1 answer:
mel-nik [20]3 years ago
4 0

Answer:

y = (1/2)x - 5

Step-by-step explanation:

The slope of the line y = -2x + 5 is -2.  The slope of any straight line perpendicular to this line is therefore the negative reciprocal of -2, which comes out to +1/2.

Using this fact, and the point (2, -4), we write out the slope-intercept form y = mx + b, and substitute the appropriate values:

-4 = (1/2)(2) + b

Then:

-4 = 1 + b, which yields b = -5

Thus, the desired equation is     y = (1/2)x - 5

You might be interested in
Brandon and his friend combined their allowance of $900 each, so they could buy a movie a 2-for-1 movie ticket for $1200. They b
inysia [295]

Answer:

1.5 bags

Step-by-step explanation:


They each had 900 dollars, so when combined they have 1800 dollars. They bought a movie ticket for 1200 dollars, so they now have 1800-1200=600 dollars.

600/2 is 300. Each bag of popcorn costs 200 dollars. So they could each buy 1.5 bags of popcorn.

5 0
2 years ago
The height of an object above the ground in feet can be modeled as a function of time, t, in seconds using the equation: h(t)= -
11111nata11111 [884]

Answer:

(a) t = 7 sec approximately; (b) t = 6 sec

Step-by-step explanation:

(a)  Set h(t)= -16(t-3)^2 + 288 = 0 and solve for t:

                     16(t-3)^2 = 288  

       After simplification, this becomes (t - 3)^2 = 18, or t - 3 = ±3√2.

        Because t can be only zero or positive, t = 3 + 3√2 = 7 seconds

(b) Solve h(t)= -16(t-3)^2 + 288 = 150:

                        -16(t-3)^2 = - 162

      or                (t - 3)^2 = 10.125, or

                            t - 3 =  ±3.18, or, finally, t = 6.18 sec (discard t = -0.18 sec)

7 0
4 years ago
Find the distance between (5, 3) and (1, 3).
Dafna11 [192]

Answer: 4 units

Step-by-step explanation:

(5-1,3-3)=(4,0)==> 4 units

7 0
2 years ago
PLEASE HELP ASAP!! URGENT!!
Black_prince [1.1K]
A= 9
B= 11

Make sure to try it
4 0
4 years ago
In gym class, each student runs 7 laps. There are 8 students in each gym class. How many laps will be run by one class during 2
Neko [114]

Answer: 112


7 × 8 × 2 = 112

3 0
4 years ago
Other questions:
  • How to simplify 20/10
    11·1 answer
  • If f(x) = 2x5 + 3 and g(x) = x2 – 1, what is the degree of [f o g](x)?
    5·1 answer
  • Which of the following pairs of class limits would be appropriate for grouping the numbers 12, 15, 10, and 17 ?
    10·1 answer
  • An average family of 4 creates about 17.6 pounds of garbage every day. About how
    12·1 answer
  • 5 plus 5 euqals what number help
    11·2 answers
  • What is the y-intercept of this equation? <br> 5x + 4y = 8
    11·1 answer
  • The lines given by the equations y=6x and y=6x+2 are ____
    5·1 answer
  • Find the magnitude of the vector that begins at (1,1) and ends at (-8,12).
    12·2 answers
  • Will Mark Brainliest
    6·1 answer
  • On Marlene's trip to Starved Rock, her average rate of speed for the entire five-hour trip was 62 miles per hour. For the first
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!