Determine whether the lines are parallel or perpendicular or neither.

One lines passes through points (3, 1) and (−2, −2);
another line passes through points (5, 5) and (4, −6)

Answers

Answer 1

Answer:

Neither

Step-by-step explanation:

Parallel lines have the same gradient while the product of the gradients of perpendicular lines is -1.

Let's find the gradient of each line first.

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

[tex]gradient \: of \: first \: line \\ = \frac{1 - ( - 2)}{3 - ( - 2)} \\ = \frac{1 + 2}{3 + 2} \\ = \frac{3}{5} [/tex]

[tex]gradient \: of \: the \: other \: line \\ = \frac{5 - ( - 6)}{5 - 4} \\ = \frac{5 + 6}{1} \\ = 11[/tex]

Product of the gradients

= 11 ×⅗

= 6.6

Since the gradients are neither the same, nor do the product of the gradients equal to -1, the 2 lines are neither parallel or perpendicular to each other.


Related Questions

X greater than or equal to 4

Answers

Answer:

[tex]x \geqslant 4[/tex]

The expression above means x can be any number starting from 4 and above .

helpp
I don't know if it's correct
Every fraction is equal to 1, so I don't know which is correct​

Answers

Answer:

it's not what the fraction is equal to its asked me which said it would give you the answer and by the way it's 8 / 8

The answer is 8/8 because 16 dived by 8 is 2 and 40 divided by 8 is 5 which = 2/5

Which is more 56% of £200 or 32% of £350? Show your working!

Answers

Answer:

I can barely believe my answer but

they are the same (112)

Step-by-step explanation:'

I am attaching a picture of my work. It's cross multiplying

someone, please (calmly) tell me if I'm wrong and I will try to fix it.

A city had a population of 9,903 at the begining of 1953 and has been growing at 5.4% per year since then. (a) Find the size of the city at the beginning of 1984.

Answers

Answer: 50,562 people

Step-by-step explanation:

The city population in the beginning of 1953 was 9,903.

Grows at 5.4% each year.

Population in beginning of 1984 can be acquired through compound interest.

Periods = 1984 - 1953 = 31 years

Population in 1984 = 9,903 * (1 + 5.4%)³¹

= 9,903 * 5.1057428421476776548111

= 50,562 people

Which of the following graphs does NOT represent a function

Answers

Answer:

The graph I have attached an image of does not represent a function.

Step-by-step explanation:

This is because if we take the vertical line test, which is to draw a vertical line through any point of the x-axis. If the line passes through two points when it is vertical, the line doesn't represnt

a function.

Graph fourth is not representing a function because it failed the vertical line test option (D) is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

Four graphs is shown in the picture.

As we know we can identify whether the graph is representing a function or not by using a vertical line test.

This is due to the vertical line test, which involves drawing a vertical line through any x-axis point. When a line is vertical and runs through two locations, it does not represent a function.

Thus, the graph fourth is not representing a function because it failed the vertical line test option (D) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

what integer is equivialnt to 25 3/2

Answers

Answer: There is none.

Step-by-step explanation:

Fractions and decimals can't be integers.

Help please I need the answer

Answers

Answer:

120 combinations! :)

Step-by-step explanation:

So, there's 4 choices for a sandwich, 3 choices for a side, 2 choices for a dessert and 5 choices for a soda!

The answer is 5 * 4 * 3 * 2 = 120 :)

Answer:

5, 4, 3, 2

Step-by-step explanation:

you would have a total of 120

please help whats the answer??

Answers

Answer:

Freind

Step-by-step explanation:

Ima go tell my smarter friend to see if he will help

any one plz solve this i tried thousands time step by step​

Answers

Answer:

please tell me if there iscany sing after 4xy

Answer:

xy-x+y+1

Step-by-step explanation:

(1-x^2)(1-y^2)+4xy=1-y^2-x^2+x^2y^2+4xy

here, 4xy=2xy+2xy

then, -(x^2-2xy+y^2)+(x^2y^2+2xy+1)=-(x-y)^2+(xy+1)^2

by a^2-b^2=(a+b)(a-b)

(xy+1+x-y)(xy+1-x+y)

1-2x+y-x^2y+x^2=-y(x^2-1)+(x^2-2x+1)=-y(x+1)(x-1)+(x-1)^2

=(x-1)(x-1-xy-y)=-(x-1)(xy-x+y+1)

thus, common factor is xy-x+y+1

Hope this helps

Certain answers please, I raised it ;)

Answers

Answer:

1) p=1/2

2) V(p)=25

Step-by-step explanation:

We have the function:

[tex]V(p)=100p(1-p)[/tex]

Which represents the variance of the number of left handed people in a group of 100.

Question 1)

We want to find the value of p that maximizes the variance.

Let's examine our function. We can see that it is a quadratic. Therefore, the value of p that maximizes the variance will simply be the x-coordinate of the vertex of our equation.

Let's expand our function:

[tex]V(p)=100p(1-p)[/tex]

Distribute:

[tex]V(p)=100p-100p^2[/tex]

Let's find the vertex of our equation. We can use the following formulas (I switched out the x for p):

[tex]p=-b/2a,\ V(-b/2a)[/tex]

Let's determine our coefficients. The "a" is the coefficient in front of the squared term and "b" is the coefficient in front of the x term.

So, a is -100, and b is 100.

Substitute them into our formula:

[tex]p=-(100)/2(-100)[/tex]

Multiply:

[tex]p=100/200[/tex]

Divide:

[tex]p=1/2[/tex]

So, the x-coordinate (or rather p in this case) of our vertex is 1/2.

To find the y-value, let's substitute it back into our function. We have:

[tex]V(p)=100p-100p^2[/tex]

Substitute 1/2 for p:

[tex]V(1/2)=100(1/2)-100(1/2)^2[/tex]

Evaluate:

[tex]V(1/2)=50-25=25[/tex]

Therefore, our vertex is:

[tex](1/2, 25)[/tex]

So, the value of p that maximizes our variance is p=1/2.

Question 2)

We want to find the maximum variance.

Again, this will simply be the vertex of our quadratic.

This time, it will be the y-coordinate.

We can see that the y-coordinate of the vertex is 25.

So, our maximum variance is V(p)=25.

And we're done!

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

a) p=1/2

b) 25

create a rule or identity to describe those patterns. For example, if you notice that every time you multiply a negative number by another negative number the result is positive, we can generalize this by saying (-a)(-b) = c, where a, b, and c are all positive real numbers.

Answers

Answer:

a/b = a * 1/b

Step-by-step explanation:

a/b = a * 1/b

this looks easy....

But what about

a / (1/b) = a*b

if you see any division, you can always multiply BOTH the numerator AND the denominator by the same amount. That is allowed because that is the same as multiiplying by the number 1.

So multiply by b/b and see what happens.

a / (1/b) = b/b * a / (1/b)

group the numerator AND the denominator

a / (1/b) = (b * a ) / b*(1/b)

a / (1/b) = (b * a ) / b/b

a / (1/b) = (b * a ) / 1

a / (1/b) = (b * a )

a / (1/b) = a*b

It is allowed because you can always multiply any number by 1 and that is because that will not change the original number. The number multiplied by 1 remains the same number.

This notion is very powerful and it can be used to turn any division into a multiplycation, and vice versa.

a / (1/b) = a*b

Answer:

This equation generalizes the patterns seen in part D, where a and b represent real numbers:

(a + bi)(a − bi) = a2 + b2.

Solve the system of linear equations by graphing. y=2x+1 y=−x−5

Answers

Answer:

x=-6

Step-by-step explanation:

2x+1=-x-5

3x+1=-5

3x=-6

x=-2

I need help plss. I will mark BRAINLIEST for best answer!!

Answers

Answer:

Joshua add under roots which is wrong

√14+√14+√14 is not equal to √42

√14+√14+√14 = 3√14

15 less than 3 times a number is the same as 5 more than half of the number. what is the number?

Answers

Answer:

8

Step-by-step explanation:

8x3=24

minus 15 is 9

half of 8 is 4

plus 5 is 9

therefore, the answer is 9.

Solving for y in this problem.

Answers

Answer:

y = 5x-2

Step-by-step explanation:

5x - y = 2

Subtract 5x from each side

5x - y -5x = 2 -5x

-y = -5x+2

Multiply each side by -1

y = 5x-2

Answer:

[tex]y=-2+5x[/tex]

Step-by-step explanation:

[tex]5x-y=2\\\\5x-5x-y=2-5x\\\\-y=2-5x\\\\\frac{-y=2-5x}{-1}\\\\ \boxed{y=-2+5x}[/tex]

Hope this helps.

Extra note: Another correct answer would be [tex]y=5x-2[/tex]

Find the slope of the line through the points (5,−3) and (5, 8).

Answers

Answer:

The slope is undefined

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question the points are

(5,−3) and (5, 8)

The slope is

[tex]m = \frac{8 - - 3}{5 - 5} = \frac{8 + 3}{5 - 5} = \frac{8}{0} \\ [/tex]

Since every number divided by zero is undefined the slope of the line is also undefined.

Hope this helps you

Find the nth term of the sequence 3, 7, 11, 15

plz reply quick and do not copy-paste from google

Answers

4n-1

7-3=4 (term to term sequence)

3-4=-1

Answer:it’s 4n - 1

Step-by-step explanation: you do 7 - 3 = 4 and then 4 - 3 = -1

There are a total of 35 lions, crocodiles, monkeys, and elephants at the zoo. There are 6 lions; there are 2 fewer crocodiles than lions; there are 5 times as many monkeys as crocodiles. How many elephants are there?

Answers

The answer is 5 because there are 6 lions, four crocodiles, 20 monkeys. That adds up to 30. So, there are 5 elephants to add up to 35 animals.

MACB = ADCE, AB = 8 and AC = 6
DE = [ ? ]
Any idea?

Answers

I think Decm but not sure

PLEASE HELP WILL GIVE BRANLIEST & 50 POINTS

Answers

Answer:

none

Step-by-step explanation:

i checked every answer and none of the had a graph that was even remotely close to what is being shown

Answer:

I believe that it is none of the above, correct me if I am wrong.

Step-by-step explanation:

I went through each equation, none of which matched up.

Thirteen greater than a number is 161. Find the number.

Answers

Answer:

x = 148

Step-by-step explanation:

Step 1: Write equation

13 + x = 161

Step 2: Solve for x

Subtract 13 on both sides: x = 148

Step 3: Check

Plug in x to verify it's the number.

13 + 148 = 161

161 = 161

HELPP PLS ILL MARK BRAINLIST

Answers

Answer: g = -2

x = 5

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

g(x) = -x - 5

= -(5)-5

=-10

Plzzzzzzz help right answer gets brainly

Answers

12, 13, 15, 17, 17, 20 are the numbers in order
The median (middle number) would be 15 and 17

If there are 2 medians, you need to add both of them and divide by 2


15 + 17 = 32
32/2 = 16


So the median is 16

17. you can find the median by putting all of the numbers in order from largest to smaller and find the one in th middle the answer is 17

6 boxes weigh the same amount. If the boxes weigh 60 pounds all together, how many pounds does each box weigh. (hElp)

Answers

Answer:

Each would equal 10 lbs.

Step-by-step explanation:

60 pounds all together is the weight of 6 boxes, so if you divide 60 by 6, you'll get 10 lbs for each box.

Answer:

each box weighs 10lbs

Step by Step explanation:

if you do 10 20 30 40 50 60 70.... you will see what times what gives you 60 which in this case it is what times 6 gives you 60 so if you list your 6s you will will go until you  get to 6*10 which is 60 but you can do a list of your 10s it is easier that away to be honest. I hope this answer helps you:)

x + 6 - 5 = 8 - 2

Thank you

Answers

Answer:

x = 5

Step-by-step explanation:

x + 1 = 6. subtract the given numbers

(5) + 1 = 6. find the solution (x)

x = 5

Answer:

x=5

Step-by-step explanation:

hope this helps

Which force best represents F g?​

Answers

Answer: B

Step-by-step explanation:

The amount of weight barbell acting on a weight lifter os 80 N.

Find the value of x in each case:

Answers

Answer:

I know only one

x=14 being vertically opposite angles

Step-by-step explanation:

algle FGE = GEC

FGE = 180 - (14 + 78)°

= 88°

so angle GEC = 88°

4x + 88 = 180

4x = 180 - 88

4x = 92

x = 92/4

= 23

Please help!!! A party store is ordering 150 balloons.
Red balloons make up 32% of the order.
How many of the 150 balloons are red?
25
€ 47

Answers

Answer:

I think it should be 48? but 47 seems to be the closest choice, so i suggest 47

Step-by-step explanation:

Can someone help me with this please?

Answers

let's see what to do...

Figure A is scaled image of Figure B.

So Figure A must be made in a proportion of Figure B.

We should find the ratio:

to find the ratio we have to use the same known sides.

[tex]ratio = \frac{5}{2} \\ [/tex]

Also we have :

[tex]ratio = \frac{12.5}{x} \\ [/tex]

So we have :

[tex] \frac{5}{2} = \frac{12.5}{x} \\ [/tex]

Multiply the sides by 2x :

[tex]5 \: x = 25 \\ x = 5[/tex]

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

This graph shows the number of miles a freight train travels over a period of time.
Freight Train Travel Rate
What is the slope of the line?
Use the number pad to enter your answer in the box

Answers

I am unable to see this picture but the slope of the line would just be the # miles the train travels / amount of time

For example, if the train traveled 120 miles in 2 hours, the slope would be:

120/2= 60miles per hour

The slope would be the speed because speed is distance / time
Other Questions
It is well documented that active maternal smoking during pregnancy is associated with lower-birth-weight babies. Researchers wanted to determine if there is a relationship between paternal smoking habits and birth weight. The researchers administered a questionnaire to each parent of newborn infants. One question asked whether the individual smoked regularly. Because the survey was administered within 15 days of birth, it was assumed that any regular smokers were also regular smokers during pregnancy. Birth weights for the babies (in grams) of nonsmoking mothers were obtained and divided into two groups, nonsmoking fathers and smoking fathers. The accompanying data are representative of the data collected by the researchers. The researchers concluded that the birth weight of babies whose father smoked was less than the birth weight of babies whose father did not smoke. Complete parts (a) through (g) below.a.) It is____________ (a designed experiment OR an observational study) because the researchers ____________(intentionally changed OR the value of an explanatory variable. b.) What is the explanatory variable? What is the response variable? Explanatory variable is ___________(whether or not the mothers smoked OR smokers OR whether or not the father smoked OR non smokers OR birth weight.) Response variable is__________ (whether or not the mothers smoked OR smokers OR whether or not the father smoked OR non smokers OR birth weight.) c.) Can you think of any lurking variables that may affect the results of the study? Select all that apply. -Shopping habits -Eating habits -Father's weight -Exercise habits -Whether the mother received prenatal care d.) In the article, the researchers stated that "birthweights were adjusted for possibleconfounders..." What does this mean? -The researchers attempted to adjust their results for any variables that may also be related to smokers. -The researchers attempted to adjust their results for any variables that may also be related to nonsmokers. -The researchers attempted to adjust their results for any variables that may also be related to birth weight. -The researchers attempted to adjust their results for any variables that may also be related to father's weight. e.) Determine the summary statistics. Nonsmokers mean=___ grams Nonsmokers median=____ grams Nonsmokers standard deviation= ____ grams Nonsmokers first quartile=_____ grams Nonsmokers third quartile=____ grams Smokers mean=___ grams Smokers median=____ grams Smokers standard deviation= ____ grams Smokers first quartile=_____ grams Smokers third quartile=____ grams f.) Interpret the first quartile for both the nonsmoker and smoker group. OPTION A. For the two groups, 50% of infants in each group have birth weights less than or equal to the first quartile for thatgroup, and 50% of infants in each group have birth weights greater than the first quartile for that group. OPTION B.For the two groups, 25% of infants in each group have birth weights less than or equal to the first quartile for thatgroup, and 75% of infants in each group have birth weights greater than the first quartile for that group. OPTION C.For the two groups, 75% of infants in each group have birth weights less than or equal to the first quartile for thatgroup, and 25% of infants in each group have birth weights greater than the first quartile for that group. g.) Draw a side-by-side boxplot of the data. Does the side-by-side boxplot confirm the conclusions of the study? Does the side-by-side boxplot confirm the conclusions of thestudy? OPTION A.The boxplot does not confirm the study as the medians are very close to each other; the third quartiles are noticeablydifferent, but not the medians. OPTION B.The boxplot does not confirm the study as the median for smokers is significantly more than the median for nonsmokers; the median is located close to the third quartile of nonsmokers. OPTION C. The boxplot confirms the study as the median for smokers is significantly more than the median for nonsmokers; the median is located close to the third quartile of nonsmokers. OPTION D. 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If one of the remaining two sides is 12 cm in length, then the length of the other side is Tribes such as the Iroquois began to devote more time to17th century in response to European demand.during thea commercial fishingb. deer domesticationc. fur trappingd. settled farming The legislative branch of the U.S.government is also called To get snacks for a class trip, Clare went to the "bulk"section of the grocery store, where she could buy anyquantity of a product and the prices are usually good.Clare purchased:+ some salted almonds at $6 a pound+ some dried figs at $9 per pound.She spent $75 before tax.To do: Write an equation that describes the relationshipbetween pounds of figs and pounds of almonds thatClare bought, and the dollar amount that she paid.NOTE:Let x = pounds of figsLet y = pounds of almonds Producing paper clips (identical) or wheat would be classified under which market structure? *A)OligopolyB)monopolyC)perfect competitionD)monopolistic competition An xenograft uses donor skin from another person. True or False