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
masya89 [10]
2 years ago
11

What is the equation of the line that is perpendicular to -2/5x-7 and passes through (4,-1)?

Mathematics
1 answer:
alukav5142 [94]2 years ago
3 0

Step-by-step explanation:

maybe this is not the full expression, as you wrote the line equation in a funny way.

I understand the following :

the line is

y = (-2/5)×x - 7

perpendicular means crossing at a right angle (90 degrees).

the slope of the original line is -2/5.

as in every line equation, the slope is the factor of x. and it expresses the ratio y/x indicating the amount of units y is changing, when x changes a certain amount of units (e.g. when going from one point on the line to another).

the perpendicular slope turns the original y/x ratio upside-down, and also flips the sign.

so, it is 5/2.

the equation for the perpendicular line looks like

y = (5/2)×x + b

now what is b ?

for this we use the specified point on the line : (4, -1)

and we put these values as x and y into the equation :

-1 = (5/2)×4 + b = 5×2 + b = 10 + b

b = -11

and so, the full equation of the perpendicular line is

y = (5/2)×x - 11

You might be interested in
Please answer!!!!!!!!!!!!
vagabundo [1.1K]

Answer:

x = 14

A = 38

B = 71

C = 71

Step-by-step explanation:

3x-4 + 5x + 1 + 7x-27 = 180

15x-30 = 180

15x = 180 + 30

15x = 210

x = 210/15

x = 14

A = 3x-4 = 3(14) - 4 = 38

B = 5x + 1 = 5(14) + 1 = 70 + 1 = 71

C = 7x - 27 = 7(14) - 27 = 98-27 = 71

6 0
3 years ago
How many solutions does the equation have?
Studentka2010 [4]
The answer is c no solution
6 0
3 years ago
Find the difference. 7 7/8 - 3 1/4 ?
astraxan [27]
7 7/8= 63/8

3 1/4= 13/4

63/8 -13/4  we bring to the same denominator

(63-26)/8=  37/8
3 0
3 years ago
Read 2 more answers
Find the angle measure and round to the nearest Tenth.<br><br> cos0 = 7/10<br><br> x = ? degrees
Ad libitum [116K]
I believe it is 45.6
5 0
3 years ago
The new e-reader measures 8 inches long, 5 inches wide, and 2 inches deep. which is the correct unit of measurement to use when
Diano4ka-milaya [45]
Inches cubed. Or inches^3
4 0
2 years ago
Read 2 more answers
Other questions:
  • Identify the variation as direct, inverse, joint or combined. s=c/t^3
    12·2 answers
  • Hee Sun wants to estimate the average world length in a book. She randomly chooses 20 words in the book, as shown. Based on this
    12·1 answer
  • Nagaraj has a​ party-length sandwich that is 45 inches long and is to be cut into three pieces. The middle piece will be 3 inche
    12·1 answer
  • Suppose you want to organize a community watch, one from each street. you have 5 volunteers from maple street and 3 volunteers f
    15·1 answer
  • PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER
    8·2 answers
  • Indicate in standard form the equation of the line passing through the given points.
    5·1 answer
  • Factor Completely<br> 8x^2-8xy-6y^2
    12·1 answer
  • Determine the 58th<br> Sequence.<br> 540, 495, 450, ...
    9·1 answer
  • Anyone knows the answer ??
    13·2 answers
  • A coin weighs 3/4 ounces. Laura picked up 6 of these coins. What is the total weight of the coins she picked up? In simplest for
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!