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
choli [55]
3 years ago
15

Please help. 100 points to best answer!!!

Mathematics
1 answer:
Irina-Kira [14]3 years ago
8 0

1. The slope of a line  that is perpendicular to a line whose equation

is 5y = 10 + 2x is \frac{-5}{2}

2.

The line y = 2x - 1 is neither parallel nor perpendicular to the line

y = -2x + 3

The line y = -2x + 5 is parallel to the line y = -2x + 3

The line y = \frac{1}{2} x + 7 is perpendicular to the line

y = -2x + 3

3. The equation of the line that passes through the point (5 , -4) and

is parallel to the line whose equation is 2x + 5y = 10 is

y = \frac{-2}{5} x - 2

Step-by-step explanation:

Let us revise some rules

  • The slope-intercept form of the linear equation is y = m x + b, where m is the slope of the line and b is the y-intercept
  • The slopes of the parallel lines are equal
  • The product of the slopes of the perpendicular lines is -1

1.

∵ The equation of the line is 5y = 10 + 2x

- Put the equation in the form of slope-intercept

- Divide both sides by 5

∴ y = 2 + \frac{2}{5} x

∴ m = \frac{2}{5}

∴ The slope of the line is \frac{2}{5}

∵ The product of the slopes of the perpendicular lines is -1

- That means if the slope of a line is m, then the slope of the

  perpendicular line to this line is \frac{-1}{m}

∵ The slope of the line = \frac{2}{5}

∴ The slope of the perpendicular line \frac{-5}{2}

The slope of a line  that is perpendicular to a line whose equation

is 5y = 10 + 2x is \frac{-5}{2}

2.

∵ Line a is represented by the equation y = -2x + 3

∴ m = -2

∴ The slope of the line is -2

∵ The equation of the line is y = 2x - 1

∴ m = 2

∴ The slope of the line is 2

∵ 2 ≠ -2

∵ 2 × -2 ≠ -1

∴ The two lines neither parallel nor perpendicular

The line y = 2x - 1 is neither parallel nor perpendicular to the line

y = -2x + 3

∵ The equation of the line is y = -2x + 5

∴ m = -2

∴ The slope of the line is -2

∵ The slopes of the lines are equal

∴ The two lines are parallel

The line y = -2x + 5 is parallel to the line y = -2x + 3

∵ The equation of the line is y = \frac{1}{2} x + 7

∴ m = \frac{1}{2}

∴ The slope of the line is \frac{1}{2}

∵ \frac{1}{2} × -2 = -1

∵ The product of the slopes of the lines is -1

∴ The two lines are perpendicular

The line y = \frac{1}{2} x + 7 is perpendicular to the line

y = -2x + 3

3.

∵ The equation of a line that is parallel to the line whose equation

   is 2x + 5y = 10

∴ Their slopes are equal

- Put the equation in the form of y = mx + b to find m

∵ 2x + 5y = 10

- Subtract 2x from both sides

∴ 5y = 10 - 2x

- Divide both sides

∴ y = 2 - \frac{2}{5} x

∴ m = \frac{-2}{5}

∴ The slope of the line is \frac{-2}{5}

∵ The form of the equation is y = mx + b

∵ m = \frac{-2}{5}

∴ y = \frac{-2}{5} x + b

∵ The line passes through the point (5 , -4)

- Substitute the coordinates of the point in the equation to find b

∵ x = 5 , y = -4

∴ -4 = \frac{-2}{5} (5) + b

∴ -4 = -2 + b

- Add 2 to both sides

∴ -2 = b

∴ y = \frac{-2}{5} x - 2

The equation of a line that passes through the point (5 , -4) and

is parallel to the line whose equation is 2x + 5y = 10 is

y = \frac{-2}{5} x - 2

Learn more:

You can learn more about the equation of a line in brainly.com/question/4152194

#LearnwithBrainly

You might be interested in
Find the measure of angle 1 and 2 pls​
Flura [38]

Answer:

Your answer is

1. 42.5

2. 95

Hope that this is helpful. Vote and like it

4 0
3 years ago
Can I get help with this problem?
grandymaker [24]

Answer:

Step-by-step explanation:

It's 2.3 as the centre of a circle is twice the circumference learn the circle theorem

4 0
3 years ago
Read 2 more answers
point A is at (-5,-4) and point M is at (0,-3.5).Point M is the midpoint of point A and point Bwhat are the coordinates of point
velikii [3]

Answer:

point b is at 5,-3

you have to go 5 past and .5 up

6 0
3 years ago
I Need Help Like Now!!
kogti [31]

Answer:

\frac{136}{999}

Step-by-step explanation:

We require 2 equations with the repeating decimal after the decimal point in both equations.

The bar above 136 indicates that 136 is being repeated

let x = 0.136136...... → (1) Multiply both sides by 1000

1000x = 136.136.... → (2)

Subtract (1) from (2) to eliminate the decimal part

999x = 136 ( divide both sides by 999 )

x = \frac{136}{999}

5 0
3 years ago
what is the answer for this question and can tell me how to do this problem too. 791 + 11 > 959 − 13
kompoz [17]

Answer:

The question is false

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Please answer this please ASAP
    11·2 answers
  • Paul is on the basketball team he practiced free throws and made 42 of them that number was 50% of the shots Paul took how many
    15·1 answer
  • Which of the following had a value of 8
    7·1 answer
  • Carlos has a $5 bill. If he buys an eggplant, how much
    9·2 answers
  • a force of 50 lb act on an object at an angle of 45 degrees, a second force of 75 lb acts on the object at an angle of -30 degre
    7·1 answer
  • State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used.
    7·2 answers
  • Helppp plzzzzzzzzzzz
    6·1 answer
  • 2 + 2 x 0<br><br> Anyone wanna join my pad✨let ?
    10·1 answer
  • The area of a rectangle is 192 in2. The ratio of the length to the width is 4:3. Find the length and the width.
    15·1 answer
  • Solve for a. <br><br><br> ab + c = d
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!