JK is formed by J(-12,3) and K(8,-5). If line r is the perpendicular bisector of JK, write an equation for r in slope-intercept form.

Answers

Answer 1

Answer:

y = 5/2x + 4

Step-by-step explanation:

Midpoint of JK:

x = (-12 + 8)/2 = -4/2 = -2y = (3 - 5)/2 = -2/2 = -1

Slope of the line JK:

m = (-5 - 3)/(8 - (-12)) = -8/20 = -2/5

Perpendicular lines have negative reciprocal slopes.

So the line r has a slope 5/2 and passes through the point (-2, -1)

Equation of r:

y = 5/2x + b-1 = 5/2(-2) + b-1 = -5 + bb = 5 - 1b = 4

So the equation is:

y = 5/2x + 4

Related Questions

jordan can jog 1/3 of a mile in 1/6 of an hour.what is his speed in miles per hour

Answers

Answer:

The answer is  2 miles per hour

Step-by-step explanation:

Given

distance = 1/3 miles

time taken = 1/6 hour

Required,

The speed with which Jorgan Jogs

Step two:

We know that the formula for the situation is

Speed= distance/time

Speed= 1/3/1/6

Speed= 1/3*6/1

multiply the numerator by the inverse of the denominator

Speed=6/3

Speed= 2 miles per hour

The ratio of red skittles to blue skittles is 2 to 5. If there are
10 red ones, how many are blue?

Answers

25 are blue
hope this helps

CAN SOMEONE HELP ME WITH THIS??? I WILL MARK BRAINLIEST!!!

Answers

Answer:

-5 count to 0 which is 5 plus 15 so maybe it was 20 degrees when she left school

HELP PLEASEE:(((((( THANk YOU

Answers

Answer:

(C). g(x) = ( [tex]\frac{1}{4}[/tex] x )²

Step-by-step explanation:

The correct answer is (C). g(x) = ( [tex]\frac{1}{4}[/tex] x )²

If the probability is 0.65 that a marriage will end in divorce within 20 years, what is the probability that out of 7 couples just married in the next 20 years
(A) None will be divorced?
(B) All will be divorced?
(C) Exactly 6 will be divorced?
(D) At least 6 will be divorced?

Answers

Answer:

0.00064

0.049

0.185

0.234

Step-by-step explanation:

Using binomial distribution formula :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

p = 0.65

1 - p = 1 - 0.65 = 0.35

n = 7

(A) None will be divorced?

P(x = 0) : 7C0 * 0.65^0 * 0.35^7

= 1 * 1 * 0.00064339296875

= 0.00064

(B) All will be divorced?

P(x = 7) : 7C7 * 0.65^7 * 0.35^0

1 * 0.04902227890625 * 1

= 0.049

(C) Exactly 6 will be divorced?

P(x = 6) : 7C6 * 0.65^6 * 0.35^1

7 * 0.075418890625 * 0.35

= 0.18477628203125

= 0.185

(D) At least 6 will be divorced?

P(x ≥ 6) = p(6) + p(7)

P(6) = 0.185

P(7) = 0.049

P(x ≥ 6) = 0.185 + 0.049 = 0.234

A plane takes off from an airport on the bearing S 29°W. It continues for 20 minutes then changes to bearing S 52°W and flies for 2 hours 20 minutes on this course then lands at a second airport. If the plane's speed is 420 mph, how far from the first airport is the second airport? Round to the nearest mile.
A. 1011 mi
B. 1111 mi
C. 1010 mi
D. 1110 mi

Answers

Answer: 1110 miles

Step-by-step explanation:

Given that :

Speed (V) = 420 mph

t1 = 20 minutes = 20/60 = 0.3333 hour

t2 = 2 hours 20 minutes = 2.333 hours

Distance = speed * time

d1 = 420 * 0.333 = 140 miles

d2 = 420 * 2.33333 = 979.98 = 980 miles

Using cosine rule :

x = sqrt(d1² + d2² - 2(d1 * d2) cos 157

x = sqrt(140^2 + 980^2 - 2(140 * 980) cos157

x = sqrt(1232586.5)

x = 1110.2191

x = 1110 miles

3. Se le ha encargado a usted la provisión de muestras para vender en el lanzamiento de la nueva bebida de aguapanela con limón y gas, la cual viene en tres tamaños 350ml, 500ml y 1000 ml. Se le dará una comisión por cada muestra vendida y se le impondrá una multa por cada muestra sin vender. En el primer día usted recibe 300 botellas de 1000ml, 400 botellas de 500ml y 200 botellas de 350ml. Ese día usted no vendió las de 500ml y ganó una comisión de US$30. El segundo día usted recibe 300 botellas de 500 ml y 400 botellas de 1000ml, no vendió las de 1000 ml y recibió US$10. En el tercer día se le entregan 200 botellas de 1000 ml, 300 botellas de 500ml y 500 botellas de 350ml, no se vendieron las grandes y le pagaron US$50. Determine cuánto le pagaron por cada tipo de botella.

Answers

I- I would help but- o meh lord

please help me with this math!

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the polynomial function

[tex]f\left(x\right)\:=x^3+2x^2-16x-32[/tex]

Let us determine the factors by solving

[tex]\:\left0\right\:=x^3+2x^2-16x-32\:[/tex]

[tex]\left(x+2\right)\left(x+4\right)\left(x-4\right)=0[/tex]

Using the zero factor principle:

if  [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

[tex]x+2=0\quad \mathrm{or}\quad \:x+4=0\quad \mathrm{or}\quad \:x-4=0[/tex]

Thus, (x+2) (x+4) and (x-4) are the factors of the polynomial function.

Therefore,

YES

(x+2)(x+4)(x-4)

And (x-2) (x+6) are not the factors of the polynomial function.

Therefore,

YES

(x-2)(x+6)

There are n teams ina league and each team plays each other twice a season. The league plays 182 games. How many teams are in the league

Answers

Answer:

91

Step-by-step explanation:

here's why because from this word problem the equation should be 2n=182 which turns to division so... 182 divided by 2 is 91

You have a coupon for 20% off the shoes. Will the cost of the shoes be: MORE THAN $65.95 or LESS THAN $65.95 EXPLAIN

Answers

Answer:

take $65.95 times (0.0825) for the sales tax = 5.44

then, add the tax of $5.44 to the original amount of $65.95 = $75.39

Step-by-step explanation:

Answer: less than $65.95

Step-by-step explanation: because its taking 20% away from $65.95

$65.95 - 20% = $52.76

Order the numbers from least to greatest.
-4/3, -1, 0, 2/3, 4/5, 6, 9
PLS HELP

Answers

Answer:

-4/3, -1, 0, 2/3, 4/5, 6, 9. They were already in the correct order.

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Help me FAST PLEASEEEE

Answers

1. shade right, open circle

2. no shade, solid circle

3. shade right, solid circle

4. shade left, solid circle

5. no shade, solid circle

6. shade left, solid circle

7. shade left, open circle

8. shade right, solid circle

9. shade left, open circle

10. no shade, solid circle

Jon typed 330 words in 30 minutes.How many words did he type per minute?

Answers

Answer:

Step-by-step explanation:

I believe the answer is 11 words per minute!

✨Hope it helps✨

Brainliest maybe

Triangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36°. Which statement describes angle L?

A.Angle L is a base angle and measures 36°.
B.Angle L is a base angle and measures 72°.
C.Angle L is a vertex angle and measures 36°.
D.Angle L is a vertex angle and measures 72°.

Answers

Answer:

Angle L is a base angle and measures 72 degrees

Step-by-step explanation:

Took the test and got a 100%! Hope it helps!!

Answer:

b: Angle L is a base angle and measures 72°.

Step-by-step explanation:

Edge

asap 100 points ✨Given that SABC : ADEF, er, and the ratio of AB to DE is
5
which of the following could be the lengths of BC
and EF?
BC = 4; EF = 6
BC = 3; EF = 9
BC = 3; EF = 10
BC = 3; EF = 12

Answers

i would say it is not the first one i think it might be the second or third one hope this helps and also correct me if i am wrong and if there is a graph to this problem please put it on the comments below so i can better help you because it seems like this type of question would have a graph

Step-by-step explanation:

Answer:

2nd or third

Step-by-step explanation:

Eric works at the deli on weekends to earn extra money. He makes $10 per hour making sandwiches, and $14 per hour delivering orders. Eric puts half of his total earnings in a savings account for college. He wants to know how much he saves each week Which expression represents the total amount of money Eric saves for working s hours making sandwiches and d hours delivering orders? 1 (10s +14d 2 () This weekend, Eric makes sandwiches for 5 hours and delivers orders for 4 hours. How much money does he save? ) Eric saves $ ? this weekend​

Answers

Answer:

1/2(10s+14d)

he saves $53 this weekend

Step-by-step explanation:

PLEASE EHELP ME RN!

PLEASE HELp ME
HELP ME

Answers

Answer:

Step-by-step explanation:

Answer:

0-4-9 = -13 or -4-9 = -13

Explanation:

Basically it starts at 0, then it moves to the left of the number line meaning it subtracts. It moves to the left by 4, so it is subtracting 4 from 0. Then it moves to the left again by 9, so you subtract 9 from 0-4

In the end, it is 0-4-9 or you can remove the 0 and be -4-9

Hope this was helpful :)

The answer is -13 jfjfjfjfnfnnfnng

Jackson is comparison shopping for orange juice. He created a table to help him decide which package was the best deal.Orange Juice Cost by PackagePackageCostCost per ounce10 oz bottle$1.99$0.19959 oz bottle$3.33$0.056489 oz bottle$4.99$0.0561Case of 2410 oz bottles$34.99$0.145864 oz carton$3.60$0.05625Jackson claims that the order of the best deal to the worst deal (based on cost/oz) is 10 oz bottle, 89 oz bottle, 59 oz bottle, case of 24 10 oz bottles, and 64 oz carton. Which statement about Jackson’s claim is true?Jackson is correct because he used the length of each decimal to compare the different costs. For example, 0.149 < 0.1457 < 0.05625.Jackson is correct because he compared values in equal place values to compare only the decimals with the same length. For example, 0.0561 < 0.0564 < 0.05625.Jackson is incorrect because he should compare the values in equal place values to compare all the decimals, not just those of the same length. For example, 0.0561 < 0.05625 < 0.0564.Jackson is incorrect because the case of 24 oz bottles is less per ounce than the 59 oz bottle and the 89 oz bottle. For example, 0.1457 < 0.0561 < 0.0564.

Answers

Answer:

b

Step-by-step explanation:

mark me brainlist

Answer:

b

Step-by-step explanation:

you heard the words from them badkidmikael so if its wrong let me know and ill find the answer

The temperatures in two cities are listed below. How many degrees colder is Ottawa?
Ottawa: -11 degrees
New York: 8 degrees

Answers

19 degrees colder !
The answer would be -3

How many quarts can Gloria fill with one gallon of milk?

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

There are 4 quarts in one gallon

If the fraction 414/x-10 is equivalent to -23 ​, find the value of x. Show your work. Use reasoning to find x.

Answers

Answer:

x = -8

Step-by-step explanation:

Solve for x by getting rid of the fraction.

414/(x-10) = -23

414 = -23(x-10)

414 = -23x + 230

184 = -23x

-8 = x

The starting salaries of individuals with an undergraduate degree from UC Riverside are normally distributed with a mean of $40,000 and a standard deviation of $5,000. What is the probability that a randomly selected individual with an undergraduate degree from UC Riverside will have a starting salary of $34,000 to $46,000?

Answers

Answer:

The probability that a randomly selected individual with an undergraduate degree from UC Riverside will have a starting salary of $34,000 to $46,000 is 0.7699.

Step-by-step explanation:

Let X denote the starting salaries of individuals with an undergraduate degree from UC Riverside.

It is provided that, [tex]X\sim N(\$40,000,\ \$5,000^{2})[/tex]

Compute the value of P (34000 < X < 46000) as follows:

[tex]P (34000 < X < 46000)=P(\frac{34000-40000}{5000}<\frac{X-\mu}{\sigma}<\frac{46000-40000}{5000})\\\\=P(-1.2<Z<1.2)\\\\=P(Z<1.2)-P(Z<-1.2)\\\\=0.88493-0.11507\\\\=0.76986\\\\\approx 0.7699[/tex]

Thus, the probability that a randomly selected individual with an undergraduate degree from UC Riverside will have a starting salary of $34,000 to $46,000 is 0.7699.

How much is `10\%` of `10` liters of milk?

Answers

the answer would be 1 liter of milk

Answer:

one

Step-by-step explanation:

6th grade math I mark as brainliest

Answers

Answer:

D

DDDDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Henry earned $596.45 for working 32 hours. What is Henry's hourly wage? Round to the nearest cent.

Answers

Answer:

18.64

Step-by-step explanation:

how many repeating digits does n=0.1515 have

Answers

Answer:

it depends on where the line is

Step-by-step explanation:

if the line is over the .15, then two.

Answer:

It has 2 repeating digits.

Step-by-step explanation:

These digits are 1 and 5.

Hope this helps!

Evaluate the given expression 2/3+1/9

Answers

i am pretty sure the answer is 7/9

It took a car 4 days to travel 3036 miles. What was this car's average speed, in miles per hour? (round to the nearest mile per hour)

Answers

Answer:

31.625 rounded up is 32mph

Step-by-step explanation:

if you take how many days it took to travel then there are 24 hours in a day so you would do 24 times 4 which gives you 96.

then you take 3036 and divide that by 96 and you get your answer.

Hey guys! I am going to be posting multiple questions, but one by one... so be prepared!
14 2/3 x 2 1/2=?

Answers

Answer:

[tex]\frac{110}{3}[/tex]    or     [tex]36\frac{2}{3}[/tex]

Step-by-step explanation:

The number of pizzas is in a proportional relationship to the weight of the shredded cheese toppings. When​ shredded, a​ 50-lb block of cheese is enough to make 150 large pizzas. Find the constant of proportionality. Use a pencil and paper. Explain how you can use a constant of proportionality to find how much cheese is on one slice of pizza if there are 8 slices per pizza.

Answers

150÷50= 3

Step-by-step explanation:

I got it correctly

Other Questions
HELPP MEE I will get five stars I will give brainly and I will give thanksthis is 30 points What term refers to substance in the environment that can cause abnormal fetal development What is the slope of the line represented byy= 12+ 1/2x ? Which number line correctly shows 0.8 +0.3? which of the following is a complementary base pair ? A . guanine - thymine B . guanine - guanine C . adenine - cytosine D . guanine - cytosine What are the ways that writers break out of genre patterns if g(x) = -3x^2 - 5x + 5, calculate g(-3). in the story So where are you from? What question is the author frequently asked? Find the value of x Christopher uses 2/3 cup of ice cream to make a root beer float, Sean uses 7/12 cup of ice cream, and Jennifer uses 5/8 cup of ice cream. Which of the following. correctly compares the three amounts of ice cream? A. 2/3>7/12>5/8 B. 2/3>5/8>7/12 C. 7/12>5/8>2/3 D. 7/12>2/3>5/8 How many solutions does the following equation have?LaTeX: 4\left(x-5\right)=4x+104 ( x 5 ) = 4 x + 10Group of answer choicesNo solutionOne solutionInfinitely many solutionsTwo solutions Help I will give brainiest to the one who answers it correctly Please help asap. Thanks. write 2 positive and 2 negatives about the desert. What do Hamlet's words indicate in this soliloquy from Hamlet, act III, scene I? To be, or not to be: that is the question: Whether 'tis nobler in the mind to suffer The slings and arrows of outrageous fortune, Or to take arms against a sea of troubles, And by opposing end them? ME NEEDS HELP ASAP!Why did Ming leaders believe that foreign trade had negative effects?Foreign trade led to other nations invading China.The trade led to higher taxes on the richer classes in China.Too much money was spent on trade and not on building projects.Trade interactions led to societal changes that weakened Chinese culture. Mr.Williams, a parking lot owner, sold 20% of his lot to his neighbor. Later that year he sold 20% of the remainder of his lot to another neighbor. What percent of Mr.Williams' original parking lot does he still own? x y6 1012 2015 45can you feel in the blanks Which factor most directly affects potential energy but not kinetic energy?O MassO DensityO VelocityElasticity Find thecompound interest:Principal: $1735Interest Rate: 1.6%Time: 24 years