one line passes through (-3, -1) and (2,4) another passes through points (2, -6) and (7, -1). are the lines parallel, perpendicular, or neither?

Answers

Answer 1

Answer:

Since they both have the same slope, they are Parallel.

Step-by-step explanation:

We will have to calculate slope for this equation using this formula:

[tex]\frac{y2-y1}{x2-x1}[/tex]

For line 1 our points are:

(-3,-1) and (2,4)

Substitute:

[tex]\frac{4+1}{2+3}[/tex]

[tex]\frac{5}{5}[/tex]

The slope for the first line is 1.

For line 2 our points are:

(2,-6) and (7,-1)

Substitute:

[tex]\frac{-1+6}{7-2}[/tex]

[tex]\frac{5}{5}[/tex]

The slope for this equation is 1.

For these lines to be parallel, they would need their slopes to be the same.

For these lines to be perpendicular, they would need to be opposite reciprocals.

Since they both have the same slope, they are Parallel.

Answer 2

Answer:

Parallel

Step-by-step explanation:

(-3, -1) and (2,4) -

First find the slope of the line using the slope formula [tex]\frac{y2-y1}{x2-x1}[/tex] :  [tex]\frac{4-(-1)}{2-(-3)}[/tex]

Add the numbers : [tex]\frac{5}{5}[/tex]

Simplify: 1

Using one of the given ordered pairs find the y-intercept: 4 = 1(2) + b

Caluclate the product : 4 = 2 + b

Move the variable to the left-hand side and change its sign: -b = 2 - 4

Calulate the diffrence and change the signs: b = 2

Using the slope and y- intersept creat your equation : y = 1x + 2

(2, -6) and (7, -1)-

First find the slope of the line using the slope formula [tex]\frac{y2-y1}{x2-x1}[/tex] : [tex]\frac{-1-(-6)}{7-2}[/tex]

Add the numbers : [tex]\frac{5}{5}[/tex]

Simplify: 1

Using one of the given ordered pairs find the y-intercept: -6 = 1(2) + b

Caluclate the product : -6 = 2 + b

Move the variable to the left-hand side and change its sign: -b -6 = 2

Calulate the sum and change the signs: b = -8

Using the slope and y- intersept creat your equation : y = 1x + -8

Parallel lines have the same slope and different y-intercepts


Related Questions

PLEASE HELP :( which side is adjacent to

Answers

I think A I’m so sorry if this is wrong

Ramen noodles. There are 20 ramen noodle packages in a bag. There are 10 beef flavored, and the other 10 are chicken flavored. What is the probability of getting at least one chicken and at least one beef flavor when you grab 3 packages randomly?

Answers

Answer:

0.789

Step-by-step explanation:

Number of beef flavored Ramen noodles = 10

Number of chicken flavored Ramen noodles = 10

Total number of noodles = 20

Number of ways to select 3 packages:

[tex]_{20}C_3= \dfrac{20\times 19\times 18}{3\times 2\times 1}=1140[/tex]

Number of ways to select two beef flavored Ramen noodle = [tex]_{10}C_2[/tex] = 45

Number of ways to select one chicken flavored Ramen noodle = 10

Number of ways to select two chicken flavored Ramen noodle = [tex]_{10}C_2[/tex] = 45

Number of ways to select one chicken flavored Ramen noodle = 10

Total number of ways so that one chicken and one beef Ramen selected = 450 + 450 = 900

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Required probability is:

[tex]\dfrac{900}{1140} = 0.789[/tex]

5/6 x 18 =

?please help me

Answers

Answer:

15

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

I used a calculator lol


Marc earns $45,000 per year. If he does not work for 2 months in a year, how much money would he earn?

Answers

Answer:

$37500

Step-by-step explanation:

45000 divided by 12 = 3750

3750 is how much he earns each month.

3750x2=7500

7500 is how much he earns in 2 months

45000-7500=37500

Answer:

37,500

Step-by-step explanation:

if he makes 45,000 a year, we need to find out how much he makes per month.

divide 45,00 by 12= 3750 per month

3750 times 2 months= 7500

45,000-7,500= 37,500

ahhh sorry i didnt realize someone else already answered while i was typing this

To attend the football game, it costs $8 for parking plus $59 per ticket. If Bryan paid $362, how many tickets did he purchase?

Answers

Answer:6 tickets

Step-by-step explanation:

X= number of tickets

59x+8= 362

59x= 362-8

59x= 354

X= 354/59

X= 6

Bryan bought six tickets, hope this helps!!!!

2. Use the Pythagorean theorem to find the missing side of the following right triangles.
Round to the nearest tenth if needed.
2
B
a = 9
C
b = 12

Answers

Answer:

Pythagorean theorem which is a²+b²=c2

9²+12²=c²

225=c2

c=√225

c=15

3/2:1/4 as a unit rate

Answers

Answer:

25

Step-by-step explanation:

Divide the binomial by the monomial to find the quotient.

Answers

Answer:

9x²-36[tex]y^{5}[/tex]

Step-by-step explanation:

4) Jamar is driving cross-country from California to Florida over seven day. Each day from
Monday through Friday, he drives 451.15 miles. On Saturday and Sunday, he drives half this
distance each day. How many miles will Jamar drive in the entire week? Tell me how you got the answer for Brainlyest

Answers

Answer:

2,706.9

Step-by-step explanation:

451.15 × 5 = 2,255.75

451.15 ÷ 2 = 225.575

2,255.75 + 225.575 = 2,481.325

2,481.325 + 225.575 = 2,706.9

total= 2,706.9

The probability that a 22-year-old female in the U.S. will die within one year is approximately 0.00044. If an insurance company sells a one-year, $30,000 life insurance policy to such a person for $435, what is the company's expectation? (Round your answer to the nearest dollar.)

Answers

Answer:

The value is  [tex]E(X) = \$ 421.6[/tex]

Step-by-step explanation:

From the question we are told that

The probability that a 22 year  old  female in US will die within one year is    p= 0.00044

The outcome if she dies within one year is that the company losses $30,000

Generally the probability that  a 22 year  old  female in US will live more than one year is

           [tex]q = 1 -p[/tex]

=>        [tex]q = 1 -0.00044[/tex]

=>        [tex]q = 0.99956[/tex]

The outcome if she lives more than one year is that the company gains $435

Generally the  the company's expectation is mathematically represented as

           [tex]E(X) = -30000 * p + 435 * q[/tex]

The negative sign shows that the company is loosing the fund

So  

       [tex]E(X) = -30000 * 0.00044 + 435 * 0.99956[/tex]

=>    [tex]E(X) = \$ 421.6[/tex]

What is the value of -16 divided by 2.5

Answers

Hey the answer to your question is -6.4

help on picture 15 points

Answers

Answer:

2/3

Step-by-step explanation:

HELP!!!!!!!!!!!!!!!!!

Answers

Answer:

Answer is C. not 95.

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

<AIN is equal to <FIL because they are vertically opposite.

the length of a rectangular sign is 4 times it's width. if the sign's perimeter is 30 inches, what is the area?

Answers

Answer:

36

Step-by-step explanation:

Width = x

Length = 4x

Perimeter = Width + Width + Length + Length (Because there are four sides; two sides are the widgth and two sides are the length)

30 (because 30 is given as the perimeter) = x + x + 4x + 4x

30 = 10x

x = 3

Width = 3

Length = 4(3) = 12

Area = Width * Length

Area = 3 * 12 = 36

The area of the rectangular sign is equal to 36 square inches, if its perimeter is 30 inches.

Let the length of the rectangular sign be L.Let the width of the rectangular sign be W.

Given the following data:

Perimeter of rectangular sign = 30 inches.

Translating the word problem into an algebraic equation, we have;

[tex]L = 4W[/tex]

Mathematically, the perimeter of a rectangle is given by the formula;

[tex]P = 2(L+W)\\\\30 = 2(4W + W)\\\\30 = 2(5W)\\\\30 = 10W\\\\W = \frac{30}{10}[/tex]

Width, W = 3 inches

For its length:

[tex]L = 4W\\\\L = 4(3)[/tex]

Length, L = 12 inches.

Now, we can determine the area of the rectangular sign by using the formula:

[tex]Area = LW\\\\Area = 12(3)[/tex]

Area = 36 square inches.

Therefore, the area of the rectangular sign is equal to 36 square inches.

Find more information: brainly.com/question/897975

During flag rugby, attacking players (offensive players) are NOT allowed to do the following: (Select all that apply)
Group of answer choices

Kick the ball

Flag guard

Run with the ball

Hand the ball to another player

Answers

Answer:

Flag guard, kick the ball, and hand the ball to another player

Step-by-step explanation:

Just did the P.E. quiz our teacher assigned us. I've seen you in our classes, dude.

Please help me with this,............

Answers

Answer:

[tex]a_{n}[/tex] = 5n - 22

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₂ = - 12 , then

a₁ + d = - 12 , that is

a₁ + 5 = - 12 ( subtract 5 from both sides )

a₁ = - 17

Thus

[tex]a_{n}[/tex] = - 17 + 5(n - 1)

    = - 17 + 5n - 5

     = 5n - 22

3. There are 156 students in an after-school program. The program director would like to split the
students into groups of equal sizes with no students left over. She wants at least 4 but no more
than 12 students in each group. Describe the possible number of groups and students in
each group.

Answers

Answer:

well you could do 26 groups of 6 people

Step-by-step explanation:

Expense
Percent of Budget
40%
11.7%
Item
Rent
Food
Transportation
Utilities
Insurance
Taxes
Monthly Total
Annual Expenses
$350
$150
$400
13.3%
1
2
How much will Paul pay in Rent? $1200
How much will Paul pay
What percent will Paul pay for Food?
type your answer....
What percent of Paul's

Answers


don’t do this go text ur boyfriend or girlfriend

What is the length of the missing side of this triangle? *

Answers

Answer:

8.9

Step-by-step explanation:

- there are two given sides and its a right angle triangle so you can use pythagoras

- 12^2 = 8^2 + y^2

- rearrange

y = [tex]\sqrt{(12)^2 -(8)^2}[/tex]

y = 8.9

Dennis wants to save $189 for a trip to an amusement park. He sets aside $14 of his allowance at the end of each week. How many weeks will it take him to save enough money for the whole trip?

Answers

Answer:

x = 13.5 weeks

Step-by-step explanation:

Since he wants to save $189 in total, that will be on one side of the equation by itself. You have to set this up in a y = mx + b equation. The y will be the 189. Since the word "each" goes with the number 14, that will be your m value. There is no value for b.

189 = 14x is your equation. The only step after setting up the equation is to divide 189 by 14. This gives you 13.5. Dennis will have to save up for 13.5 weeks.

Graph the data below and then answer the questions that follow. year 1=$20,000, year 2=$21,750, year 3=$23,500, year 4=$25,250, year 5=$27,000. is this an arithmetic sequence? How do you know?

Answers

Answer:

Since the difference between the value for each year is constant, this is an arithmetic sequence.

Step-by-step explanation:

Year 2 - Year 1 = 21,750 - 20,000 = 1,750

Year 3 - Year 2 = 23,500 - 21,750 = 1,750

Year 4 - Year 3 = Year 5 - Year 4 = 1,750

In Jeopardy, if you answer a question
incorrectly. you lose points. If Owen's score
is 200 points, then he answers a 350-point
question incorrectly, find his score.
Need this ASAP

Answers

-150 points cause 200-350= -150

Answer:

-150 points cause 200-350= -150

Step-by-step explanation:

Can i have brainliest i've never got one before


−5y−25= -40 solve for y

Answers

Answer: y= -3

Step-by-step explanation:

First you would at 25 to -40 to get -15.

Next you would divide -5 by -15 to get -3 as your y.

Hope this helps!

Answer:

y = -3

Step-by-step explanation:

Add 25 to -40. Becomes -5y = -15. Divide -15 by -5. You get -3. y = -3

The boundary of a lamina consists of the semicircles y = 1 − x2 and y = 64 − x2 together with the portions of the x-axis that join them. Find the center of mass of the lamina if the density at any point is proportional to its distance from the origin.

Answers

Answer:

The center mass of the lamina =   [tex]{\begin {pmatrix} 0, \dfrac{1755}{146 \pi } \end {pmatrix}[/tex]

Step-by-step explanation:

Let take a look at the boundary of the lamina that comprises of the semicircles [tex]y = \sqrt{1-x^2}[/tex] and [tex]y = \sqrt{64-x^2}[/tex]

We are also informed that the density at any point is proportional to its distance from the origin.

Thus, the main task required is to find the center mass of the lamina.

In as much as the density is proportional to the distance from the origin;

Then;

[tex]\rho (x,y) = k \sqrt{x^2 + y^2} = kr[/tex]

Thus; the mass of the lamina is determined as:

[tex]m = \iint \limits _ D \rho (x,y) \ dA= \int ^{\pi}_{0}\int ^{8}_{1} kr.r dr d \theta[/tex]

[tex]m = \int ^{\pi}_{0}\int ^{8}_{1} kr^2 dr d \theta[/tex]

[tex]m = k \int ^{\pi}_{0} \begin {bmatrix} \int \limits ^8_1 r^2 dr \end {bmatrix} d \theta[/tex]

[tex]m = k \int ^{\pi}_{0} \begin {bmatrix} \int \limits\dfrac{r^3}{3} \end {bmatrix} ^8_1d \theta[/tex]

[tex]m = k \int ^{\pi}_{0} \begin {bmatrix} \dfrac{512}{3}- \dfrac{1}{3} \end {bmatrix} d \theta[/tex]

[tex]m = \dfrac{511 \ k}{3} \int \limits ^{\pi}_{0} \ d \theta[/tex]

[tex]m = \dfrac{511 \ k}{3} \bigg (\theta \bigg ) ^{\pi}_{0}[/tex]

[tex]m = \dfrac{511 \ k \pi}{3}[/tex]

Now, about the y-axis, the moment of the entire lamina can be computed as:

[tex]M_y = \iint \limits _D x\rho (x,y) \ dA = \int \limits^{\pi}_{0} \int \limits ^{8}_{1} r cos \theta kr .r \ dr \ d \theta[/tex]

[tex]M_y = k \int \limits ^{\pi}_{0} \int ^{8}_{1} \ cos \theta . r^3 \ dr \ d \theta[/tex]

[tex]M_y = k \begin {bmatrix} \int \limits ^{\pi}_{0} cos \theta d \theta \end {bmatrix} \begin {bmatrix} \int \limits ^8_1 r^3 dr \end {bmatrix}[/tex]

[tex]M_y = k (sin \ \theta )^{\pi}_{0} \begin {bmatrix} \dfrac{r^4}{4} \end {bmatrix}^8_1[/tex]

[tex]M_y = k(sin \pi - sin 0 ) \bigg ( \dfrac{8^4}{4}- \dfrac{1^4}{4} \bigg)[/tex]

[tex]M_y = 0[/tex]

Similarly; about the x-axis, the moment of the entire lamina can be computed as:

[tex]M_x = \iint \limits _D y \rho (x,y) \ dA = \int \limits^{\pi}_{0} \int \limits ^{8}_{1} r sin \theta kr .r \ dr \ d \theta[/tex]

[tex]M_x = k \int \limits ^{\pi}_{0} \int ^{8}_{1} \ sin \theta . r^3 \ dr \ d \theta[/tex]

[tex]M_x = k \begin {bmatrix} \int \limits ^{\pi}_{0} sin \theta d \theta \end {bmatrix} \begin {bmatrix} \int \limits ^8_1 r^3 dr \end {bmatrix}[/tex]

[tex]M_x= k (- cos \ \theta )^{\pi}_{0} \begin {bmatrix} \dfrac{r^4}{4} \end {bmatrix}^8_1[/tex]

[tex]M_x = k(-cos \pi +cos 0 ) \bigg ( \dfrac{8^4}{4}- \dfrac{1^4}{4} \bigg)[/tex]

[tex]M_x = \dfrac{4095}{2}k[/tex]

Hence,  The center mass of the lamina is:

[tex]( \overline x, \overline y) = \bigg ( \dfrac{M_y}{m}, \dfrac{M_x}{m} \bigg )[/tex]

[tex]( \overline x, \overline y) = \begin {pmatrix} \dfrac{0}{\dfrac{511 \ k \pi}{3}}, \dfrac{\dfrac{4095 \ k}{2}}{\dfrac{511 \ k \pi}{3}} \end {pmatrix}[/tex]

[tex]( \overline x, \overline y) = \begin {pmatrix} 0, \dfrac{1755}{146 \pi } \end {pmatrix}[/tex]

Which linear inequality is represented by the graph?

PLEASE HELP

Answers

Answer:

It would be c.

I hope that helps

Step-by-step explanation:

If you look at (0,0) you can see that if you go up two it will be right across second point.

Which of the following is the graph of y = StartFraction 1 Over x + 2 EndFraction + 1?
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrant 1. The other curve opens down and to the left and it crosses the x-axis at (1, 0).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = 2. One curve opens up and to the right in quadrants 1 and 4. It crosses the x-axis at (3, 0). The other curve opens down and to the left and it crosses the y-axis at (0, negative 1.5).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1 and 2. It crosses the y-axis at (0, 1.5). The other curve opens down and to the left and it crosses the x-axis at (negative 3, 0).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 2. One curve opens up and to the right in quadrants 1, 2, and 4. It crosses the x-axis at (negative 1, 0). The other curve opens down and to the left in quadrant 3.

Answers

Answer: C

Step-by-step explanation:

Use the graph ln the left side.

The description of the graph of the function [tex]y = \frac{1}{x + 2} + 1[/tex] is the description (c)

How to determine the graph of the equation?

The equation is given as:

y = StartFraction 1 Over x + 2 EndFraction + 1?

Rewrite properly as:

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

The above equation is the translated equation from an inverse function

The graph of the function pass through the points (0,1.5) and (-3,0)

Hence, the graph of f(x) = √x is (c) On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = -2. One curve opens up and to the right in quadrants 1 and 2. It crosses the y-axis at (0, 1.5). The other curve opens down and to the left, and it crosses the x-axis at (-3, 0).

Read more about functions at:

https://brainly.com/question/4025726

#SPJ2

(Ill give brainliest, Pls help me! Also, Pls write at least 3 sentences to explain why. Ty :) )


67,124 x three fourths = ________. Will the product of this equation be less than or greater than 67,124? Explain your reasoning.

Answers

Answer: it would be less

Step-by-step explanation: it is less because it is split into more pieces and it is not as big as 67,124

PLEASE HELP ME ASAP​

Answers

Answer:

The answer is Option D

Step-by-step explanation:

Supplementary angles are angles that sum up to 180 °

I need a girl and yes I understand I’m on the wrong website please don’t report smh

Answers

Answer:

lol, what for?

Step-by-step explanation:

Answer:

So the answer would be B.

Step-by-step explanation:

This is not the right site like you said also no one knows your age or what you look like so good luck buddy.

what is the value of y when x = 43
A. 87
B. 85
C. 49
D. 45

Answers

Answer:

A x

=

3

,

1x

=

3

,

1

Step-by-step explanation:

x

=

3

,

1

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