y = 3/2x + 2
y = 2/3x + 6
These lines are...

Answers

Answer 1

Answer:

As the lines are neither parallel nor perpendicular.  

Therefore, These lines are neither parallel nor perpendicular.  

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Given the lines

y = 3/2x + 2y = 2/3x + 6

y = 3/2x + 2

Finding the slope of y = 3/2x + 2

comparing with the slope-intercept form of the line equation

The slope m₁ = 3/2

y = 2/3x + 6

Finding the slope of y = 2/3x + 6

comparing with the slope-intercept form of the line equation

The slope m₂ = 2/3

So,

m₁ = 3/2

m₂ = 2/3

We know that when two lines are parallel, they have equal slopes

But  

m₁ ≠ m₂

3/2 ≠ 2/3

As the m₁ and m₂ are not equal.

Hence, the lines are not parallel.

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = 3/2 × 2/3

             = 6/6

             = 1

As  

m₁ × m₂ ≠ -1

Thus, the lines are not perpendicular.

Conclusion:

As the lines are neither parallel nor perpendicular.  

Therefore, These lines are neither parallel nor perpendicular.  


Related Questions

2350 million in standard form

Answers

Answer:

235 * 10^7

Step-by-step explanation:

HOPE THIS HELPED

Que
Ms. Garcia asked her students to write the following expression in standard form.
+469-6)
Q!
Hiromi wrote the following expression
3g-54
y equivalent to the given expression.
a. Hiromi's expression
(If Hiromi's expression is correct, please retype it.)
b. The given expression in standard form is

Answers

Answer:

3g

Step-by-step explanation:

-6x+35/15=15-14x

Please help!

Answers

Answer:

x=13/8

Step-by-step explanation:

group like terms together

2/3x - 2 = 3/7 rewrite without fractions

Answers

0.67x-2=0.428 that is the approximation

The value of the expression in can be estimated by using LCM and algebraic rules and it comes 3.64.

How given expression can be rewrite or simplified?

To rewrite the equation 2/3x - 2 = 3/7 without fractions, we need to eliminate the fractions by multiplying both sides of the equation by the least common multiple (LCM) of the denominators.

The denominators in this equation are 3 and 7, and their LCM is 21. So, we will multiply both sides of the equation by 21:

21 x (2/3x - 2) = 21 x (3/7)

Simplifying the left-hand side, we distribute the 21 to both terms:

14x - 42 = 9

Adding 42 to both sides, we get:

14x = 51

Finally, dividing both sides by 14, we get

x = 3.64 (rounded to two decimal places)

Therefore, the equation 2/3x - 2 = 3/7, rewritten without fractions, is 14x - 42 = 9. The solution to the equation is x = 3.64.

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1. Write the ratio in simplest form. 16
chaperones to 48 students.

Answers

Answer:

1:3

That is it!

please help help help help please help will give brainliest if correct​

Answers

Answer:

15 divided by 3 = 5

Step-by-step explanation:

21 divided by 3 = 7

6 divided by 3 = 2

Have a Good Day : )

Answer:

5

Step-by-step explanation:

y=x/3

substituting x=15 in the above equation

y=15/3

y=5

Mark me as the brainliest if I helped you, i need it thanksss!!

Does anyone else have to do i-Ready

Answers

Answer:

No

Step-by-step explanation:

Does anyone have to do DELTA-MATH

Answer: Can you send the question that you have.

Step-by-step explanation:

Help!!! Pleasee
And thank you​

Answers

Answer:

x+y = 1

x = 3, y = -2

Step-by-step explanation:

Given the expressions

x-y = 5

x²-y² = 5

From 2:

x²-y² = 5

(x+y)(x-y) = 5 .... 3

Substitute equation 1 into 3;

(x+y)(5) = 5

Divide both sides by 5

x+y = 5/5

x+y = 1

b) To deduce x and y, we will solve the equation below simultaneously

x-y = 5

x+y = 1

Add both equations

x+x = 5+1

2x = 6

x = 6/2

x= 3

Substitute x = 3 into equation 1

Recall from 1:

x-y = 5

3-y = 5

y = 3-5

y = -2

Hence x = 3, y =-2

Select all that are equivalent to sin ZGFH.

Answers

Answer:

<fgh <gfh

Step-by-step explanation:

Solve please!

Thank you!

Answers

Answer:

Since 36=0 is false, there is no solution.

D. No Solution

Umm I’m not really sure I think is D

I need help can you guys answer it the question is which rate describes a unit rate of 8:1???
options:
A: 12 feet for 3 dogs
B:40 miles for 5 hours
C: 70 for 5 umbrellas
D: 45 sit ups in 9 seconds​

Answers

the answer is b: 40 miles in 5 hours
solution: simplify both numbers by the gcf
40/5=8
5/5=1
8:1

Answer: B) 40 miles for 5 hours

Divide both values by 5 and we'll simplify that to 8 miles for 1 hour. This is the same as saying 8 miles per hour, or 8 mph.

The ratio 8:1 is read as "8 to 1", meaning the first value is 8 times that of the second value. Note how 40 is 8 times that of 5, ie 40 = 8*5.

What is the area, in square feet, of the shaded part of the rectangle below?

Answers

The answer is 21 ft

What is the y-intercept of this line: y= 7x-5

Answers

Answer:

- 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 7x - 5 ← is in slope- intercept form

with y- intercept c = - 5

The y-intercept of the line y = 7x - 5 is -5.

To find the y-intercept of the line represented by the equation y = 7x - 5, we need to determine the value of y when x is equal to zero. The y-intercept represents the point where the line crosses or intersects the y-axis.

In this case, when we substitute x = 0 into the equation, we get:

y = 7(0) - 5

y = -5

Therefore, the y-intercept of the line y = 7x - 5 is -5. This means that the line intersects the y-axis at the point (0, -5), with the y-coordinate being -5. Graphically, this indicates that the line crosses the y-axis at a height of -5 units.

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Line q passes through the point (4,6)and (0,6).

Answers

Answer:

The equation of the line passing through the points (4, 6) and (0, 6) will be:

y = 6

The graph of the equation y = 6 is also attached.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Given the points

(4, 6)(0, 6)

Finding the slope between (4, 6)and (0, 6).

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [6 - 6] / [0 - 4]

               = 0 / -4  

               = 0

Thus, the slope of the line = m = 0

The slope m = 0 means the line is horizontal.  Because the slope of the horizontal line is 0.

As the y-values are not changing with respect to the x-values.

Therefore,

The equation of the line passing through the points (4, 6) and (0, 6) will be:

y = 6

The graph of the equation y = 6 is also attached.

factories:
x(x+1)-y(y+1)​

Answers

Answer:

[tex](x - y)(x + y + 1)[/tex]

Step-by-step explanation:

[tex]x(x + 1) - y(y + 1)[/tex]

[tex]=> x^{2} + x - y^{2} - y[/tex]

Lets re-arrange it.

[tex]=> x^{2} - y^{2} + x - y[/tex]

Now , lets expand x² - y².

[tex]=> (x + y)(x - y) + (x - y)[/tex]

Taking ( x - y ) common ,

[tex]=> (x - y)(x + y + 1)[/tex]

Answer:

[tex]x(x + 1) - y(y + 1) \\ → {x}^{2} + x - {y}^{2} - y \\→( {x}^{2}- {y}^{2}) + (x - y) \\→ (x - y)(x + y) + (x - y) \\→ \boxed{ (x - y)(x + y + 1)}✓[/tex]

(x-y)(x+y+1) is the right answer.

Help me on 16 please!!! I give brainlest

Answers

Answer:

A

Step-by-step explanation:

because your not describing how the variables are related if you don't have the variables

Help????
Correct answer gets Brainliest.

Answers

Answer:

x[tex]\geq[/tex]3

Step-by-step explanation:

You add 5 to both sides. Then divide it by 4 to get your answer.

X^2+2x-35=0 factor and solve the quadratic

Answers

Answer:

x = 7, -5

Step-by-step explanation:

Answer:

X = 5, -7

hope this helps.

6(x-8)+10=5x-6
This question has how many solutions

Answers

Answer:

x=32 so one solution only

Step-by-step explanation:

6(x-8)+10=5x-6

6x-48+10=5x-6

6x-38=5x-6

x-38=-6

x=32

Therefore, the equation only has one solution which is x=32

Answer:

This question has 1 solution.

Step-by-step explanation:

Solve for X

First, distribute:

6x - 48 +10 = 5x - 6

Second, combine like terms:

6x - 38 = 5x - 6

Third, move like signs to one side:

x = 32

Please help is needed

Answers

Answer:

i can't understand sorry

tanong mo sa iba

Five times of a positive integer is less than twice its square by 3.
Find the integer.

Answers

Answer:

The positive integer is 3.

Step-by-step explanation:

Let 'x' be the integer

Given that five times of a positive integer is less than twice its square by 3.

so

5 times of x = [tex]5x[/tex]

3 less than twice of the square of x = [tex]2x^{2} - 3[/tex]

so the equation becomes

[tex]5x = 2x^{2} - 3[/tex]

[tex]2x^2-5x-3=0[/tex]

Factorise

[tex]\left(2x+1\right)\left(x-3\right)=0[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]2x+1=0\quad \mathrm{or}\quad \:x-3=0[/tex]

solving

[tex]2x+1=0[/tex]

Subtract 1 from both sides

[tex]2x+1-1=0-1[/tex]

Simplify

[tex]2x=-1[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{-1}{2}[/tex]

Simplify

[tex]x=-\frac{1}{2}[/tex]

Also solving

[tex]x-3=0[/tex]

Add 3 to both sides

[tex]x-3+3=0+3[/tex]

simplify

[tex]x=3[/tex]

Thus, we got integers:

x = 3 or x = -1/2

As x can not be a negative integer according to the question.

Therefore, the positive integer is 3.

how is 2:7 and 10000:35000 equivalent

Answers

Answer:

Simplify both of them

Step-by-step explanation:

After simplify we get both ratio 2:7 and 10000:35000 are equal.

What is Ratio?

A ratio indicates how many times one number contain in another number.

Given that;

Both ratio are;

2:7 and 10000:35000

Now, Solve the ratio for simplifying;

Ratios are 2:7 and 10000:35000

First ratio is 2 : 7.

Clearly, This is already in simplest form.

Second ratio is 10000:35000

It can be written as;

10000:35000 = 10000/35000

                     = 10/35

                     = 2/7

Thus, After simplify we get both ratio 2:7 and 10000:35000 are equal.

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Test 21,753 for divisibility by 2, 3, 5, 9, and 10.


3 and 9

2, 3, and 9

3

2 and 9

Answers

Answer:

21,753 is divisible by 3 and 9

Step-by-step explanation:

A number is  divisible by 2 if last digit of a number is 0, 2, 4 ,6 ,8

A number is  divisible by 3 if sum of digits is divisible by 3.

A number is  divisible by 5 if last digit of a number is 0 or 5

A number is  divisible by 9 if sum of digits is divisible by 9

A number is  divisible by 10 if last digit is 0.

So,  according to these rules  option (a) 3 ,9 is correct

Therefore , 21,753 is divisible by 3 and 9.          

What is the equation in slope-intercept form of the line that passes through the points (-4,2) and (12,6)?
slope intercept is y=mx+b

Answers

Answer:

______the answer is Y=0.25X+3

Need number 9 please answer and help

Answers

Answer:

11

Step-by-step explanation:

A positive will always be a positive. 2 positives is still positive. However, 2 negatives is a positive.

PLease help me answer this!!!

Answers

Answer:

Y=-1

Step-by-step explanation:

Substitute 30 into x, now the equation is

y = 14 -0.5(30)

Now solve the RHS for the answer.

y = -1

we have to substitute x as 30 so replace the equation as

y=14-0.5(30)

Multiply 0.5(30) first

Then you have

y=14-15

So subtract that two and you’ll get a negative one

y=-1

What is the equation in point slope form of the line that passes through the point (-1, -4) and has a slope of -3


Do NOT answer just for points.​

Answers

Answer:

y+4=-3(x+1)

Step-by-step explanation:

point slope form = y-y1=m(x-x1)

so plug in the numbers

y - -4 = -3 (x - - 1)

if there are two negatives it becomes a positive so your final answer is y + 4 = -3 (x +1)

Hope this helps

Each hexagon tile has an area of LaTeX: 18\sqrt{3} 18 3 in.2 . Solve for x. Then find the exact length of each side of the hexagon. (Hint: Six equilateral triangles make one hexagon.)

Answers

Answer:

The length of the side of the hexagon is [tex]2\sqrt{3}[/tex] inches.

Step-by-step explanation:

According to this question, we have a regular hexagon with a surface area of [tex]18\sqrt{3}\,in^{2}[/tex]. From Geometry, we know that all regular hexagons can be formed by six regular triangles, since the angle of one complete revolution (360º) divided by the number of triangles is equal to the internal angle of each triangle (60º). Then, the area of each triangle is found after dividing the complete area by the number of regular triangles:

[tex]A_{\triangle} = \frac{18\sqrt{3}\,in^{2}}{6}[/tex]

[tex]A_{\triangle} = 3\sqrt{3}\,in^{2}[/tex]

The area of the triangle as a function of the length of the side of the hexagon ([tex]l[/tex]), measured in inches, is determined by this equation:

[tex]A_{\triangle} = \frac{\sqrt{3}}{4} \cdot l^{2}[/tex] (1)

If we know that [tex]A_{\triangle} = 3\sqrt{3}\,in^{2}[/tex], then the length of the side of the hexagon is:

[tex]\frac{4}{\sqrt{3}}\cdot A_{\triangle} = l^{2}[/tex]

[tex]l^{2} = \frac{4\cdot \sqrt{3}}{3} \cdot A_{\triangle}[/tex]

[tex]l = 2\sqrt{\frac{\sqrt{3}}{3}\cdot A_{\triangle} }[/tex]

[tex]l = 2\sqrt{3}\,in[/tex]

The length of the side of the hexagon is [tex]2\sqrt{3}[/tex] inches.

find the value of the variable and BC, if B is between A and C.
AB = 5x, BC = 3x-1, AC = 47

Answers

Answer:

17

Step-by-step explanation:

AC = AB + BC

Since we know what each variable equals, we can write out the equation as shown:

47 = 5x + 3x - 1

Combining like terms:

47 = 8x - 1

Add 1 on both sides:

48 = 8x

Divide 8 on both sides:

X = 6

Now that we know what X equals, we can solve BC.

BC = 3(6) - 1

BC = 18 - 1

BC = 17

Therefore BC = 17.

You are offered two jobs that you like. One job pays an hourly rate of $15.00 per hour for a 40-hour work week. Employees can take a two-week paid vacation. The employer says you will work about 5 hours of overtime per week at time-and-a-half pay. The other job pays $38,000 per year. You will be expected to work at least 55 hours per week, and you will have two weeks vacation and sick leave. Which job would you choose? Why?

Answers

Answer:

Second Job

Step-by-step explanation:

I would take the second job because you will make more. And it has sick time in addition to vacation.

First job:

$15x40=$600 then add in overtime which will be paid at $22.50 (time and half) so $22.50x5=$112.50. Add the two together $600+112.50=$712.50 weekly.

Second job:

$38,000/52=$730.77 weekly

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