Determine whether the lines given in each box are parallel, perpendicular, or neither
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Determine Whether The Lines Given In Each Box Are Parallel, Perpendicular, Or NeitherYou Can Do It By
Determine Whether The Lines Given In Each Box Are Parallel, Perpendicular, Or NeitherYou Can Do It By
Determine Whether The Lines Given In Each Box Are Parallel, Perpendicular, Or NeitherYou Can Do It By

Answers

Answer 1

Answer/Step-by-sep explanation:

To determine whether the lines given in each box are parallel, perpendicular, or neither, take the following simple steps:

1. Ensure the equations for both lines being compared are in the slope-intercept form, y = mx + b. Where m is the slope.

2. If both lines have the same slope value, m, then both lines are parallel.

3. If the slope of one line is the negative reciprocal of the other, then both lines are perpendicular. That is, x = -1/x.

4. If the slope of both lines are not the same, nor the negative reciprocal of each other, then they are neither parallel nor perpendicular.

1. y = 3x - 7 and y = 3x + 1.

Both have the same slope value of 3. Therefore, they are parallel.

2. ⬜ [tex] y = -\frac{2}{5}x + 3 [/tex] and [tex] y = \frac{2}{5}x + 8 [/tex]

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -⅖ and the slope of the other is ⅖. Therefore, they are neither parallel nor perpendicular.⬜

3. [tex] y = -\frac{1}{4}x [/tex] and [tex] y = 4x - 5 [/tex]

The slope of the first line, ¼, is the negative reciprocal of the slope of the second line, 4.

Therefore, they are perdendicular.

4. 2x + 7y = 28 and 7x - 2y = 4.

Rewrite both equations in the slope-intercept form, y = mx + b.

2x + 7y = 28

7y = -2x + 28

y = -2x/7 + 28/7

y = -²/7 + 4

And

7x - 2y = 4

-2y = -7x + 4

y = -7x/-2 + 4/-2

y = ⁷/2x - 2

The slope of the first line, -²/7, is the negative reciprocal of the slope of the second line, ⁷/2.

Therefore, they are perdendicular.

5.⬜ y = -5x + 1 and x - 5y = 30.

Rewrite the second line equation in the slope-intercept form.

x - 5y = 30

-5y = -x + 30

y = -2x/-5 + 30/-5

y = ⅖x - 6

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -5 and the slope of the other is ⅖. therefore, they are neither parallel nor perpendicular.⬜

6.⬜ 3x + 2y = 8 and 2x + 3y = -12.

Rewrite both line equations in the slope-intercept form.

3x + 2y = 8

2y = -3x + 8

y = -3x/2 + 8/2

y = -³/2x + 4

And

2x + 3y = -12

3y = -2x -12

y = -2x/3 - 12/3

y = -⅔x - 4

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -³/2 and the slope of the other is -⅔ therefore, they are neither parallel nor perpendicular.⬜

7. y = -4x - 1 and 8x + 2y = 14.

Rewrite the equation of the second line in the slope-intercept form.

8x + 2y = 14

2y = -8x + 14

y = -8x/2 + 14/2

y = -4x + 7

Both have the same slope value of -4. Therefore, they are parallel.

8.⬜ x + y = 7 and x - y = 9.

Rewrite the equation of both lines in the slope-intercept form.

x + y = 7

y = -x + 7

And

x - y = 9

-y = -x + 9

y = -x/-1 + 9/-1

y = x - 9

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -1, and the slope of the other is 1, therefore, they are neither parallel nor perpendicular.⬜

9. y = ⅓x + 9 And x - 3y = 3

Rewrite the equation of the second line.

x - 3y = 3

-3y = -x + 3

y = -x/-3 + 3/-3

y = ⅓x - 1

Both have the same slope value of ⅓. Therefore, they are parallel.

10.⬜ 4x + 9y = 18 and y = 4x + 9

Rewrite the equation of the first line.

4x + 9y = 18

9y = -4x + 18

y = -4x/9 + 18/9

y = -⁴/9x + 2

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -⁴/9, and the slope of the other is 4, therefore, they are neither parallel nor perpendicular.⬜

11.⬜ 5x - 10y = 20 and y = -2x + 6

Rewrite the equation of the first line.

5x - 10y = 20

-10y = -5x + 20

y = -5x/-10 + 20/-10

y = ²/5x - 2

The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is ⅖, and the slope of the other is -2, therefore, they are neither parallel nor perpendicular.⬜

12. -9x + 12y = 24 and y = ¾x - 5

Rewrite the equation of the first line.

-9x + 12y = 24

12y = 9x + 24

y = 9x/12 + 24/12

y = ¾x + 2

Both have the same slope value of ¾. Therefore, they are parallel.


Related Questions

3 + 2p - 4 = 11

algebra 1 solving equations

Answers

Answer: the variable is p=6 .

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

p = 6

Step-by-step explanation:

Step 1: Simplify both sides.

3 + 2p − 4 = 11

3 + 2p + −4 = 11

(2p) + (3+−4) = 11 (Combine Like Terms)

2p + −1 = 11

2p − 1 = 11

Step 2: Add 1 to both sides.

2p − 1 + 1 = 11 + 1

2p = 12

Step 3: Divide both sides by 2.

2p/2 = 12/2

p=6

Allison is planning a bridal shower for her daughter. She has decided on a budget of $3,000 to pay for expenses in her & budget categories of venue, food, dessert, and 1 thank you gifts. Allison has budgeted $1,750 for food and dessert. She wants to spend of the remaining money in her budget on the venue, and on thank you gifts, How 1 much money will Allison budget for the venue? How much money will she budget for thank you gifts​

Answers

Answer: Allison will budget $937.50 for the venue and $312.50 for thank-you gifts.

Step-by-step explanation:

Subtract $1,750 from Allison's budget of $3,000 to see how much Allison can budget for the venue and thank-you gifts.

$3,000-$1,750=$1,250

Allison can budget $1,250 for the venue and thank-you gifts.

Multiply $1,250 by 3/4 to calculate how much money Allison will budget for the venue.

$1,250⋅34=$937.50

Multiply $1,250 by 1/4 to calculate how much money Allison will budget for thank-you gifts.

$1,250⋅1/4=$312.50

Allison will budget $937.50 for the venue and $312.50 for thank-you gifts.

Please help!
The following is an isosceles trapezoid, find WX

Answers

Answer:

WX=33

Step-by-step explanation:

Isosceles Trapezoid

The base angles of an isosceles trapezoid are congruent. The base angles of the trapezoid shown in the figure are P and Q, and S and R.

Midsegment Theorem: The length of the midsegment of a trapezoid is the average of the lengths of the bases.

Being W and X the midsegments of PS and QR respectively, then WX is the midsegment of PQ and SR, thus

[tex]\displaystyle WX=\frac{PQ+SR}{2}[/tex]

[tex]\displaystyle WX=\frac{27+39}{2}=\frac{66}{2}=33[/tex]

WX=33

-3 1/2 x + 3.5 - x + 6.25
A. -4 4x+ 9.75
B. -2 * x + 9.75
C. -24x - 2.75
D. -4 4 x -2.75

Answers

The answer to the question is C

Answer:

C- -24x - 2.75

Step-by-step explanation:

Which line has a slope of 1?

A. line L
B. line K
C. line M
D. line A

Answers

Answer:

A - Line L

Step-by-step explanation:

It has the slope of 1 because, it rises once and runs or goes over one. Which must keep repeating in that same way.

Hope this Helps!

:D

Kelly has ¾ of a pie left. She wants to split the pie with 3 of her friends. How much of the pie will each person get?

Answers

Answer:

1/4 od pie.

Step-by-step explanation: So 3/4 divided by 3 is 1/4

M=_ please help me thank you

Answers

Answer:

m= e= mc square

Step-by-step explanation:

how to turn a fraction into a decimal, help

Answers

A fraction is really just another way to write a division problem without dividing. So all you have to do is divide, then round to whichever decimal place your teacher wants.

What is the expanded form of 720.058

Answers

Answer:

Standard Form:

720.058

Expanded forms can be written like a sentence or stacked for readability as they are here.

Expanded Notation Form:

 720.058 =

 700  

+ 20  

+ 0  

+   0.0

+   0.05

+   0.008

Expanded Factors Form:

   720.058 =

 7 × 100  

+ 2 × 10  

+ 0 × 1  

+ 0 ×   0.1

+ 5 ×   0.01

+ 8 ×   0.001

Expanded Exponential Form:

 720.058 =

7 × 102

+ 2 × 101

+ 0 × 100

+ 0 × 10-1

+ 5 × 10-2

+ 8 × 10-3

Word Form:

720.058 =

seven hundred twenty and fifty-eight thousandths

Step-by-step explanation:

Answer:

700 + 20 + 0 + 0.050 + 0.008

Step-by-step explanation:

select the length of the missing side of triangle b

1.5

4.5

5

6

Answers

Answer:

4.5

Step-by-step explanation:

4.5 is the answer pretty sure

find one arithetic means between 2 and 32​

Answers

Answer:

17

Step-by-step explanation:

17 is one arithmetic means between 2 and 32

Solution set of equation x^2-5x=0

Answers

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[tex] {x}^{2} - 5x = 0[/tex]

Factorise x

[tex]x(x - 5) = 0[/tex]

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Hint :

[tex]a \times b = 0[/tex]

[tex]a = 0 \: \: \: \: or \: \: \: \: b = 0[/tex]

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Thus ;

[tex]x = 0 \: \: \: \: or \: \: \: \: x - 5 = 0[/tex]

So :

[tex] x = 0 \: \: \: \: or \: \: \: \: x = 5[/tex]

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CHECK :

[tex]x = 0[/tex]

[tex] {0}^{2} - 5(0) = 0[/tex]

[tex]0 - 0 = 0[/tex]

[tex]0 = 0[/tex]

The solution is correct.

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[tex]x = 5[/tex]

[tex] {5}^{2} - 5(5) = 0[/tex]

[tex]25 - 25 = 0[/tex]

[tex]0 = 0[/tex]

The solution is correct.

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I think A or b will equal 0

A TV that normally cost $800 is on sale for 33% off. There is a 6% sales tax on the purchase. What is the final cost of the TV?​

Answers

Answer:

$568.16

Step-by-step explanation:

Answer: The answer to your problem is $568.16

Only for BreannWright09

Answers

Answer:

thanks for points i know u only wanted my sis (breann) to answer

Step-by-step explanation:

Answer:

me like foood

Step-by-step explanation:

thanks for the points bubba


At a restaurant you meal is $20. In addition to the cost of the meal you must pay a 5% sales tax and leave a 15% tip. What is the total
bill?

Answers

20 dollars plus 5% adds a 1 dollar to get 21 dollars then 15% adds 3.15$ to get 24.15&

A study shows that 78% of adults need eye correction. If 12 adults are randomly selected, find the probability that atleast 11 of them need correction for their eyesight

Answers

Answer: 0.2224

Step-by-step explanation:

Given: The proportion of adults need eye correction: p= 78%=0.78

Let X  be a binomial variable that represents the number of adults who need eye correction.

Sample size of adults: n= 12

Binomial ditsribution formula:

[tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]

Now, the probability that at least 11 of them need correction for their eyesight will be

[tex]P(X\geq11)=P(X=11)+P(X=12)\\\\=^{12}C_{11}(0.78)^{11}(1-0.78)^{1}+^{12}C_{12}(0.78)^{12}(1-0.78)^{0}\\\\=(12)(0.78)^{11}(0.22)+(1)(0.78)^{12}(1)\\\\\approx0.1716503+0.05071486=0.22236516\approx0.2224[/tex]

Hence, the required probability = 0.2224

4/6 divided by 3/12
/ is fraction

Answers

2 2/3 I think. Hope I helped!

Answer:

185185185/10000000000

Step-by-step explanation:

4/6 divided by 3/12 is .. 0.0104166667 as a fraction is /

What is the equation of the line through the origin and (3, 4)?
O A. y = 2
O B. y = x
O
C. y = 4x
O D. y = 3x

Answers

Answer:

A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because.

STep-by-step                                            Ihave a felling its b

La otra tarde vi en un parking 39 vehículos, entre coches y motos, a los que les

conté un total de 126 ruedas. ¿Cuántos vehículos de cada clase había en el parking?

Answers

Answer:

quince

Step-by-step explanation:

Evaluate 5x-2w+t

Help needed!!

Answers

the answer is the same

The value of x is (2w - t)/5.

The value of w is (5x + t)/2.

The value of t is  2w - 5x.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

5x - 2w + t = 0

Solve for x.

5x - 2w + t = 0

5x = 2w - t

x = (2w - t)/5

Solve for w.

5x - 2w + t = 0

5x + t = 2w

w = (5x + t)/2

Solve for t.

5x - 2w + t = 0

t = 2w - 5x

Thus,

The value of x, w, and t is given above.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Question 6 of 10
What is the value of p?
140"
90
lo
O A. 600
ОО
B. 900
C. 40°
O D. 50°

Answers

Answer:

B answer is correct hiiii

Answer: 50

Step-by-step explanation:

Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?

y = 2x + 1
y = 2x + 3
y = 3x + 2
y = 3x + 5

Answers

Answer:

The equation of Nolan's line is [tex]y=2x+3[/tex]

Step-by-step explanation:

The slope-intercept form of a line is given by:

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

Here

m is the slope of the line

and b is the y-intercept.

Given

y-intercept = b = 3

slope = m = 2

The values of m and b can be put into the equation to find the line's equation

So,

Putting the value

[tex]y = 2x+3[/tex]

Hence,

The equation of Nolan's line is [tex]y=2x+3[/tex]

Answer:

The answer is y 2x + 3.

Step by step:

Because i know

how do you factor quadratics into binomials

Answers

Answer:

Step-by-step explanation:

Step 1: Write the equation in the correct form. In this case, we need to set the equation equal to zero with the terms written in descending order.

Step 2: Use a factoring strategies to factor the problem.

Step 3: Use the Zero Product Property and set each factor containing a variable equal to zero.

What is the correct answer ? ​

Answers

Answer:

B

Step-by-step explanation:B

i need help!!:(
............

Answers

Answer:

Neither

Step-by-step explanation:

When you divide 2x by -5 it's not the opposite or the same as the other equation

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint (-9.9) and Midpoint (10,0) A (0.5.5) B (0,5) C (29,-9) D (-9.5, 4.5)​

Answers

Answer: C (29,-9). Explanation: Two the endpoint of the line, find the difference between the midpoint’s x and y and the end point’s x and y, and you add that to the midpoint.

The other endpoint of the given line segment is (29, -9).

If O(x, y) is the midpoint between the line segment AB with end points A(x₁, y₁) and B(x₂, y₂). The coordinate of the midpoint is:

x = (x₁ + x₂)/2; y = (y₁ + y₂)/2

Let A(x, y) be the other end point. Since one end point is (-9, 9) and Midpoint (10,0), hence:

10 = (x + (-9))/2

20 = x - 9

x = 29

0 = (y + 9)/2

0 = y + 9

y = -9

Therefore the other endpoint of the given line segment is (29, -9).

Find out more at: https://brainly.com/question/2441957

A 6-column table with 3 rows in the second, third, and fifth columns and 1 row in the other columns. The first column labeled Number of Washers has entry 1 washer mass = 4.9 grams. The second column labeled Trial has entries trial number 1, trial number 2, trial number 3. The third and fourth columns labeled Time to travel 0.25 meters t subscript 1 (seconds) have entries in the third column 2.24, 2.21, 2.23 and average in the fourth column. The fifth and sixth columns labeled time to travel 0.5 meters t subscript 2 (seconds) have entries in the fifth column 3.16, 3.08, 3.15 and in the sixth column average.
The average time that it takes for the car to travel the first 0.25m is
s.

The average time to travel just between 0.25 m and 0.50 m is
s.

Given the time taken to travel the second 0.25 m section, the velocity would be
m/s.

Answers

Answer:

2.23

.90

.28

Step-by-step explanation:

Answer: your answer are 2.23, .90, .28

Step-by-step explanation:

your answer are 2.23, .90, .28

Lexi jarred 2.3 liters of jam after 2 days. How many days does Lexi need to spend making jam if she wants to jar 4.6 liters of jam in all?

Answers

Answer:

bruh 4 days duh

Step-by-step explanation:

Simplify the following expression (87x + 63y) - (6x + 32y)

Answers

Answer: 81x + 31y

Step-by-step explanation:

Miss Tay paid a total of $14.00 for 5 mangoes and 8 oranges. Each mango cost $1.50 more than an orange. Find the cost of each mango and each orange.

Answers

Answer:

$2.80

Step-by-step explanation:

14.00 for 5 mangos and 8 oranges

14/5=2.8 for each mango

2.8+1.50=4.30

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