Mathematics
27.03.2021 17:19
207
371
7
Solved by an expert

What is the slope of the line defined by the equation 3x - y = 0?

What is the slope of the line defined by the equation 3x - y = 0?
Show Answers
pumaben2864
pumaben2864
4,5(69 marks)
The slope of the line is 3.
First, solve the equation for y:
3x-y=0 \\ -y=-3x\\ y=3x
Slope-intercept form is where y = mx + b, where m is the slope and b is the y-intercept. Since m = 3, the slope of the line is 3.
looloo273
looloo273
4,6(91 marks)

0

Step-by-step explanation:

Given(x + \sqrt{1 + x^2})(y + \sqrt{1 + y^2}) = 1(x+y)² = ?Solution

Let's make substitution as:

(x + \sqrt{1 + x^2}) = m

then

(y + \sqrt{1 + y^2}) = 1/m

Solving the first equation for x and the second one for y:

(x + \sqrt{1 + x^2}) = m\sqrt{1 + x^2} = m - x1 + x² = (m - x)²1 + x² = m² - 2mx + x²2mx = m² - 1x = (m² - 1)/2m

And

(y + \sqrt{1 + y^2}) = 1/m\sqrt{1 + y^2} = 1/m - y1 + y² = 1/m² -2y/m + y²1 = 1/m² - 2y/m m² = 1 - 2my2my = 1 - m²y = (1 - m²)/2my = - (m² - 1)/2m

Now, sum of x and y:

x + y =  (m² - 1)/2m - (m² - 1)/2m = 0

Therefore:

(x+y)² = 0

Answer is zero

Popular Questions about the subject: Mathematics

Write the converse of the conditional statement. if a polygon is...
Mathematics
25.11.2020 21:21
Corresponding range of celsius temperature c...
Mathematics
11.11.2022 01:27
How would you solve this question?...
Mathematics
29.04.2022 15:11
Is the point a solution (point of intersection) to the system of...
Mathematics
06.03.2021 19:47
Given the relation r = {(1,1), (2,1), (3,2), (4,3)}. determine r^2,...
Mathematics
08.03.2023 13:22

New questions by subject

What are double facts what do they look like...
Mathematics
27.04.2020 22:34
In the triangle below, 8/15 represents which ratio? tanb tanc sinb...
Mathematics
06.12.2022 13:15
How do genetics play a role in fetal development...
Health
17.04.2023 06:32
The technology that identifies people through bodily characteristics...
Computers and Technology
07.10.2021 17:41
Avirus that is triggered when certain logical conditions are met,...
Computers and Technology
30.05.2023 20:25
If it took ms. oldman 37 seconds to life a 400 n student up 15 m,...
Physics
09.07.2020 19:12
According to census 2000, which state has the highest percentage...
Social Studies
21.08.2020 04:56
Need ! given f(x)=9x+4 and g(x)= -5x+1, what is g(x)-f(x)?...
Mathematics
08.12.2021 10:43
#
#
#
#
# #

We expand our knowledge with many expert answers