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
Serggg [28]
2 years ago
6

What is the equation of a line thats passes through point (10, 5) and is perpendicular to the line whose equation is y=5/4x-2

Mathematics
1 answer:
Sauron [17]2 years ago
4 0

Answer: y = -4x/5 + 13

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept

m represents the slope of the line.

The equation of the given line is

y = 5x/4 - 2

Comparing with the slope intercept form, slope = 5/4

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line passing through (10, 5) is - 4/5

To determine the y intercept, we would substitute m = - 4/5, x = 10 and y = 5 into y = mx + c. It becomes

5 = - 4/5 × 10 + c

5 = - 8 + c

c = 5 + 8 = 13

The equation becomes

y = -4x/5 + 13

You might be interested in
Contestants in a dance-a-thon rest for the same amount of time every hour. A couple rests for 27 minutes In 3 hours. How long di
NeX [460]

Set up a ratio and solve for the missing value:

\frac{27}{3} =\frac{x}{5}\\x = \frac{(27)(5)}{3}\\x = 45


The couple rested for 45 minutes in 5 hours.

4 0
3 years ago
A number that is prime, between 60-100,1s place is 2 less then 10s place.
Crank
The answer to that would be 97.

Hope this helps! :)
7 0
3 years ago
What is 43/10 as a mixed number
Anika [276]

Answer:

4 3/10

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
I need help :) please if you know this I would appreciate it if you can help me
elena-14-01-66 [18.8K]

Step-by-step explanation:

a.

2(3x) - 5x = 4

6x - 5x = 4

x = 4

B. -5(x-4)+8x=29

-5x+20+8x=29

3x+20=29

3x=9

x=3

C. 2y=18+2(3-y)

2y=18+6-2y

2y=24-2y

4y=24

y=6

D. c = -b - 11

3c + 6 = 6b

3( -b - 11) +6 = 6b

-3b-33+6=6b

-3b-27=6b

-27=9b

3=b

3 0
2 years ago
(5x-25)+(3x+9)=180 please answer right now
jok3333 [9.3K]

Answer:

x=24.5\\

Step-by-step explanation:

So we have the equation:

(5x-25)+(3x+9)+180

Combine like terms:

(5x+3x)+(-25+9)=180

Add:

8x-16=180

Add 16 to both sides:

8x=196

Divide both sides by 8:

x=24.5\\

So, our answer is 24.5 :)

6 0
3 years ago
Other questions:
  • Mr. Hammer always run 6 miles every day. The time he runs, R is inversely correlated with his speed, V. How fast was mr. Hammer
    10·1 answer
  • Point J is located at (3,3) and point K is located at (7,-5) Find the midpoint of the line segment JK
    12·1 answer
  • What is the answer to this equation 5X + 4 = 49
    8·2 answers
  • What is the answer to 3(4x-2)?
    7·2 answers
  • What is the answer?
    11·1 answer
  • What is the value of x ?
    11·2 answers
  • The function A(b) relates the area of a trapezoid with a given height of 14 and one base length of 5 with the length of its othe
    11·1 answer
  • What two properties of a Cepheid variable star do we need to know in order to calculate the approximate distance from Earth?
    6·1 answer
  • Yallah yallah i dont understand!
    9·1 answer
  • What's is 9 + 10 equal?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!