All categories

3 years ago

two parallel lines are graphed on a coordinate plane.how many of the lines could represent proportional relationship?Explain.

Mathematics

2 answers:

omeli [17]3 years ago

8 0

Solution:

You need minimum of two lines which are parallel or coincident to represent proportional relationship.

Suppose two lines in one dimensional plane is Coincident.These lines are represented by a and b. Then to represent proportional relationship between them ,we can write it as follows

a = K b

or, b= Ta, where K and T are proportionality constant.

→→Line in two dimensional coordinate plane, which passes through origin or are Coincident, represents proportional relationship.

1. 2 x + 3 y= 5

2. 4 x + 6 y =10

Line 2 = 2 × Line 1

2. y= k x is equation of any line passing through origin, where k is constant of proportionality between x coordinate and y coordinate.

soldi70 [24.7K]3 years ago

7 0

It's not necessary that either one represents a proportional
relationship. But if either one does, then the other one doesn't.
They can't both represent such a relationship.

The graph of a proportional relationship must go through
the origin. If one of a pair of parallel lines goes through
the origin, then the other one doesn't. (If two parallel lines
both went through the origin, then they would both be the
same line.)

You might be interested in

Insert three arithmetic means between 4 and 10.

Bumek [7]

Answer:

5.5, 7, 8.5

Step-by-step explanation:

Find the mean of 4 and 10, that is

$\frac{4+10}{2}$ = $\frac{14}{2}$ = 7

Now repeat with 4 and 7 and 7 and 10

$\frac{4+7}{2}$ = $\frac{11}{2}$ = 5.5

$\frac{7+10}{2}$ = $\frac{17}{2}$ = 8.5

Hence

4, 5.5, 7, 8.5, 10 ← is an arithmetic sequence with d = 1.5

4 0

3 years ago

WILL GIVE Brainelst

Alexeev081 [22]

Step-by-step explanation:

5(m+3)=5m+15

5m+15=5m+15

m=1

6 0

3 years ago

Subtract and simplify. Show work please!

ra1l [238]

1) Final expression: $+7y^2-6y-17$

2) Final expression: $21x^3-46x^2+59x-30$

Step-by-step explanation:

The first expression is

$(-2y^2-11y-7)-(-9y^2-5y+10)$

First, we remove the 2nd bracket by changing the sign of all the terms inside:

$-2y^2-11y-7-+9y^2+5y-10$

Now we group the terms with same degree together:

$(-2y^2+9y^2)+(-11y+5y)+(-7-10)$

Now we solve the expression in each brackets:

$(-2y^2+9y^2)+(-11y+5y)+(-7-10)=\\+7y^2-6y-17$

So, this is the final expression.

The second expression is

$(7x-6)(3x^2-4x+5)$

We apply the distributive property, so we rewrite the expression as follows:

$(7x-6)(3x^2-4x+5)=7x(3x^2-4x+5)-6(3x^2-4x+5)$

Solving both brackets,

$7x(3x^2-4x+5)-6(3x^2-4x+5)=\\21x^3-28x^2+35x-18x^2+24x-30$

Now we group terms of same degree together:

$21x^3-28x^2+35x-18x^2+24x-30=\\21x^3+(-28x^2-18x^2)+(35x+24x)-30$

And solving each bracket,

$21x^3+(-28x^2-18x^2)+(35x+24x)-30=\\21x^3-46x^2+59x-30$

So, this is the final expression.

Learn how to simplify expressions:

brainly.com/question/7014769

brainly.com/question/11007572

brainly.com/question/11334714

#LearnwithBrainly

3 0

2 years ago

-36 times a number minus 75 is equal to 65 less than the number. What is the number?

nadezda [96]

−36n−75=n−65−36n−75−n=n−65−n
−37n−75=−65−37n−75+75=−65+75−37n=10−37n−37=10−37

n= −10/37 <--------- answer

8 0

2 years ago

A railroad track rises 30 feet for every 400 feet of track. What is the measure of the angle of elevation of the track?

gtnhenbr [62]

Answer:

Step-by-step explanation:

Rising 30 feet for every 400 feet of track is not a very large angle of elevation. We set this up as a right triangle to use right triangle trig to solve for the missing angle. The height is 30 and the hypotenuse is 400. The height is the side opposite the angle in question, and the hypotenuse is the hypotenuse! This is the sin ratio. Setting up the ratio using our info:

$sin\theta=\frac{30}{400}$

When you are looking for a missing angle measure, as we are here, use the 2nd-->sin buttons to find the inverse of sin, which looks like this:

$sin^{-1}($

Enter in the fraction 30/400 after the parenthesis and then hit enter to get the angle measure of 4.3 degrees.

3 0

3 years ago