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maria [59]
3 years ago
5

Bernie wants to write equations in the form y=mx+b for the lines passing through point P that are parallel and perpendicular to

line r. First he finds the slopes of these two lines. What could he do next to find the y-intercepts?

Mathematics
2 answers:
ziro4ka [17]3 years ago
8 0

Answer:

Substitute the slope  and the coordinates of point P in the equation of the line  y=mx+b and then solve for b in each equation

Step-by-step explanation:

we know that

The first step is calculate the slopes of these two lines. Remember that if two lines are parallel then the slopes are the same (m1=m2) and if two lines are perpendicular then the slopes is equal to m1*m2=-1

The second step is substitute the slope m2 and the coordinates of point P in the equation of the line in slope-intercept form y=mx+b and then solve for b in each equation

Ray Of Light [21]3 years ago
6 0

Answer:

Step-by-step explanation: See answer below

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Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent th
Nana76 [90]
The equation that represents the total number of stamps malik collected is x + y = 212. The equation that represents the difference in the number of foreign and domestic stamps malik collected is: x - y = 34. This is the system of two equations. Malik has a total of 212 stamps: x + y = 212. He has 34 more domestic stamps (x) than foreign stamps (y): x = y + 34. If we rearrange it, we have x - y = 34. So, this is the system of two equations: x + y = 212 and x - y = 34.<span>
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4 0
2 years ago
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a positive number is 5 times less than another positive number. Six times the lesser number plus 3 times the greater is 3. Find
IgorLugansk [536]
<h2>Greetings!</h2>

Answer:

One number is \frac{5}{7} and the other number is \frac{1}{7}

Step-by-step explanation:

Let x be the smaller number and y be the bigger number.

x = x

y = 5x

6x + 3y = 3

6x + (3 * 5x) = 3

6x + 15x = 3

(÷3)

2x + 5x = 1

7x = 1

x = \frac{1}{7}

6x + 3y = 3

6(\frac{1}{7}) + 3y = 3

\frac{6}{7} + 3y = 3

3y = 3 - \frac{6}{7}

3y = \frac{15}{7}

Divide both sides by 3 to get 1y:

y = \frac{5}{7}

So one number is \frac{5}{7} and the other number is \frac{1}{7}


<h2>Hope this helps!</h2>
5 0
3 years ago
What is the solution to the equation
Firdavs [7]
3c/5-1/2=-31/2 Add 1/2 both sides
      +1/2 +1/2
3c/5=-30/2 Then simplify the fraction
(5)3c/5=-15(5) Multiply 5 both sides
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c=25
So the answer to your question is E. 
7 0
3 years ago
What is 36:12 as a fraction in lowest terms?
Rom4ik [11]
Did you mean 36/12? If so the answer would be 3/1 or 3.
3 0
3 years ago
Suppose we are given the following information.
Minchanka [31]

Since the product of the slope is -1, hence the lines are perpendicular

<h3>Parallel and Perpendicular lines</h3>

Two lines are known to be parallel if they have the same slope while if two lines are perpendicular if the product of the slope is -1

Given the coordinates of line 1 passing through (0, 6) and (6, 4), the slope is given as;

Slope = 4-6/6-0
Slope = -2/6
Slope = -1/3

Similarly for the coordinate points (-1, -7) and (1, -1).

Slope = -1+7/1+1
Slope of line 2 = 6/2

Slope = 3

Take the product of the slopes

Slope = -1/3 * 3
slope = -1

Since the product of the slope is -1, hence the lines are perpendicular

Learn more on parallel and perpendicular lines here: brainly.com/question/25429151

#SPJ1

5 0
2 years ago
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