AB and BC form a right angle at point B. If A=(-3,-1) and B=(4,4), what is the equation of BC
A. X+3y=16
B. 2x+y=12
C. -7x-5y=-48
D. 7x-5=48

Answers

Answer 1

Answer: D. -7x-5y=-48

Step-by-step explanation:

The slope of AB is [tex]\frac{-1-4}{-3-4}=\frac{5}{7}[/tex]. Since perpendicular lines have slopes that are negative reciprocals, the slope of BC is -7/5.

Substituting into point-slope form,

[tex]y-4=-\frac{7}{5}(x-4)\\\\5y-20=-7(x-4)\\\\5y-20=-7x+28\\\\\boxed{-7x-5y=-48}[/tex]


Related Questions

Question 7(Multiple Choice Worth 5 points)
(04.02 MC)
The two-way frequency table contains data about students' preferred exercise.
Likes running 28
Does not like running 46
Column totals 74
What is the joint relative frequency of students who do not like to run and enjoy swimming?
O23%
37%
Enjoys swimming Enjoys cycling Row totals
62
90
64
110
126
200
46%
072%

Answers

The joint relative Frequency of students who do not like to run and enjoy swimming, based on the given two-way frequency table, is approximately 62.16%.

The joint relative frequency of students who do not like to run and enjoy swimming, we need to find the intersection of the row and column corresponding to those categories in the two-way frequency table.

Given the following information from the table:

Likes running: 28

Does not like running: 46

Column totals: 74

Enjoys swimming: 62

Enjoys cycling: 90

Row totals: 110

The joint relative frequency, we divide the number of students who do not like running and enjoy swimming by the total number of students:

Joint relative frequency = (Number of students who do not like running and enjoy swimming) / (Total number of students)

From the table, the number of students who do not like running and enjoy swimming is given as 46.

Total number of students is given as 74.

Joint relative frequency = 46 / 74

Calculating this value, we find that the joint relative frequency is approximately 0.6216, which is equivalent to 62.16%.

Therefore, the joint relative frequency of students who do not like to run and enjoy swimming is approximately 62.16%.

In conclusion, the joint relative frequency of students who do not like to run and enjoy swimming, based on the given two-way frequency table, is approximately 62.16%.

To know more about Frequency .

https://brainly.com/question/28821602

#SPJ8

Find the perimeter of a quadrilateral with vertices at C (-1, 2), D (-2, -1), E (2, -2), and F (1, 1). Round your answer to the nearest hundredth when necessary.

A. 10.92 units
B. 12.68 units
C. 13.43 units
D. 18.27 units

Answers

Answer:

B 12.68

Step-by-step explanation:

you will need to find the distance between each segment-

so the length of DC, CF, FE, ED

[tex]d=\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]

DC:

D(-2,-1) C(-1,2)

[tex]d=\sqrt{(-1--2)^{2} +(2--1)^{2} } \\d=\sqrt{1^{2}+3^{2} } \\d=\sqrt{10} =3.16[/tex]

CF:

C(-1,2) F(1,1)

[tex]d=\sqrt{(1--1)^{2} +(1-2)^{2} } \\d=\sqrt{2^{2}+-1^{2} } \\d=\sqrt{4+1} \\d=\sqrt{x} 5=2.24[/tex]

FE

F(1,1) E(2,-2)

[tex]d=\sqrt{(2-1)^{2} +(-2-1)^{2} } \\d=\sqrt{1^{2} +(-3)^{2} } \\d=\sqrt{1+9} \\d=\sqrt{10}= 3.16[/tex]

ED

E(2,-2) D(-2,-1)

[tex]d=\sqrt{(-2-2)^{2} +(-1--2)^{2} } \\d=\sqrt{(-4)^{2}+1^{2} } \\d=\sqrt{16+1} \\d=\sqrt{17}= 4.12\\[/tex]

3.16+2.24+3.16+4.12= 12.68

HELP PLSSSS
hey can u look at the pic above pls and help

Answers

Answer:

1,296 students attended the fall play.

Step-by-step explanation:

Let the amount of students = s

Let the amount of adults = a

Three times the adults: 3a

150 fewer than three times the adults:3a-150

amount of students = 150 fewer than three times the adults: s=3a-150

We also know that a+s=1778. Let's sub in the value for s that we got above:

a+s=1778

a+3a-150=1778

4a=1928

a=482

a+s=1778

482+s=1778

s=1296

help me .................

Answers

Answer:

The answer is 6 and 1/12 yards :]

You roll a fair die three times. What is the probability of each of the​ following? ​a) You roll all 2​'s. ​b) You roll all odd numbers.​ c) None of your rolls gets a number divisible by 3. ​d) You roll at least one 4. ​e) The numbers you roll are not all ​4's.

Answers

Answer:

[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex][tex]=\frac{1}{72}[/tex]

[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{2}[/tex]×[tex]\frac{1}{2} =\frac{2}{8}[/tex]

[tex]\frac{4}{6}[/tex]×[tex]\frac{4}{6}[/tex]×[tex]\frac{4}{6} =[/tex][tex]\frac{8}{27}[/tex]

[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex][tex]=\frac{1}{72}[/tex]

[tex]\frac{8}{27}[/tex]

Wendy is making potato salad for a picnic. One sack of potatoes weighs 14 pounds.What is the weight of a sack of potatoes in ounces

Answers

Answer:

224 ounces

Step-by-step explanation:

1 pound is 16 ounces, 14 multiplied by 16 is 224

every pound equal 16 ounces so 14 × 16 = 224

A 2-gallon jug of juice costs $14.72. What is the price per cup?

Answers

Answer:

3we

Step-by-step explanation:

rffd

$0.46

It’s 16 cups in a gallon.
16*2=32
32 cups in 2 gallons.
Divide the price by the number of cups to get the answer.

what is the volume of a cylinder with a diameter of 10 and a height of 4

Answers

Answer:

V = 314.16

Step-by-step explanation:

2. Select all expressions that can be subtracted from 9x to result in the expression
3x + 5.
A. -5 + 6x
B) 5 – 6x
С.) 6х +5
D. 6x - 5
E. -6x + 5.

Answers

Answer:

D. 6x-5

Step-by-step explanation:

I am not actually 100% but subtracting 6x from 9x will give you 3x and subtracting -5 will give you +5... SOOO. cross your fingers. lol

Which product is greater than 63

Answers

3/2 x 63 is greater

Answer:

3/2 times 63

Step-by-step explanation: took quiz

if the measure of arc LK is 56 degrees and the measure of arc LM is 187 degrees, what is m JKM angle KL = 56 degrees

Answers

Answer:

JKM is 123 degrees and the measure of arc KL is 56

calculate (4-3,5(2 1/7-1 1/5)):0,14​

Answers

Answer:

sin (330)

cos (390)

csc (60)

------------------------------------------------

Hope this helps!!! :)

If the two spinners below are spun, what is the probability that the numbers will add to less than six?

Answers

Answer:

3/4 or 75%

Step-by-step explanation:

There are twelve possible outcomes. (4 green for each of the three orange).

The only combinations that add up to six or more are 2&4, 3&3 and 3&4.

That’s 3 out of 12.  So 9 out of 12 combinations will add up to less than 6.

9/12=3/4 or 75%

Answer:

3/4

Step-by-step explanation:

Change 7 kilograms into grams.

Answers

As we know, 1kg= 1000g
So, 7kg is = to 7000g

Answer:

it's. 7000

Step-by-step explanation:

1 kg = 1000 g

7 kg × 1000 g = 7000g

Answer -. 7 kg = 7000 g

Thanks

HELPPP!!! i need to know this asap!!

Answers

Answer:

The first option

(-10, -7)

Step-by-step explanation:

Also I really like your pfp <33

Greta bought a bunch of grapes that weighed 3 pounds 6 ounces. How many ounces is this?

Answers

3 pounds + 6 ounces

1 pound= 16 ounces

16x3= 48

48+6 = 54

Answer:

54

Step-by-step explanation:

16 x 3 is 48 then plus 6 is 54

A rectangular prism has a height of 5 meters a length of 8 meters and a width is 9 meters. What is the volume of the prism

Answers

V=w•h•l
9•5•8=360
The answer is 360

In APQR, what is the mZQ? Enter your answer in the box.

Answers

Answer:

∠Q = 105°

Step-by-step explanation:

(6x + 5) + (11x - 5) + x = 180°

combine like terms:

18x = 180°

x = 10°

∠Q = 11(10) -5 = 105°

Please help i'll give brainliest please dont attach file

You and your friend skate at the same rate. You complete 7 laps in 9 minutes. How long does your friend take to complete 14 laps?

Answers

Answer: 10=8 11=9 12=10 13=11 14=12 15=13 16=14 17=15

Step-by-step explanation:

What is the volume of a cylinder, in cubic cm, with a height of 8cm and a base
diameter of 18cm? Round to the nearest tenths place.

Answers

It’s is 20cm I think

Steve earns $6.50 an hour. He worked 25 hours in the previous 1-week pay period. If Steve's employer withholds 10% of each of Steve's paychecks to pay Steve's income tax, how much will Steve take home in this week's paycheck?

Answers

Answer:

$146.25

Step-by-step explanation:

$6.50 per hour

for 25 hours = 25 × 6.50 = $162.5

10% of 162.5

162.5 × 10 ÷ 100

= 16.25

his week paycheck

162.5 - 16.25

= $146.25

Answer:

146.25$ is the a answer for sure

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Figures are the same size and shape

The area of a circle is 4​ square centimeters. What is the circumference?

Answers

7.088

Step 1) get r from area= pi *r^2

2) found the centimeters

An angle equal to its supplement is _____ degree.

Answers

Answer:

90 Degrees.

The angle which is equal to its supplement is 90 degrees.

Answer:

90

Step-by-step explanation:

Let the required angle be x°

Therefore, it's supplement = (180-x)°

Now, x = 180-x

= x+x = 180

= 2x = 180°

Therefore x\ =\ \frac{180°}{2}\ =\ 90°x = 2180° = 90°

The length of a rectangle is 3m less than twice the width, and the area of the rectangle is 65m^2 . Find the dimensions of the rectangle.

Answers

W

L=2w-3

Area=(L×w)

65=[(2w-3)×w]

65 =(2w²-3w)

65=2w²-3w

2w²-3w-65=0

by using the quadratic equation

you'll get 2 values in which one will be negative

Obviously a length can't be negative so you take the positive.

w=6.5m

L=2(6.5)-3

=10m

Suppose that the height (in centimeters) of a candle is a linear function and the amount of time (in hours) it has been burning. After 9 hours of buring, a candle has a hight of 22.2 centimeters. After 23 hours of burning, it's heigh is 16.8 centimeters. What is the height of candle after 19 hour

Answers

Answer: cockme

Step-by-step explanation:

cockme

Determine the x- and y-
intercepts of 2x - 5y = -10.
O (-5,0) and (0, 2)
(2.0) and (10,0)
O (5.0) and (0,5)

Answers

Answer and working out attached, hope this helps

Pleaseeeeeeeeeeee helpppp

Answers

Answer:

I think is 40

Step-by-step explanation:

good luck

Answer:

i don know what because this makes no sense

Step-by-step explanation:

good luck

please help me thanks​

Answers

Answer:

D

Step-by-step explanation:

Answer:

each person gets 2 1/2

Step-by-step explanation:

You divide and get 2 1/2

the answer is D

Jasmine was expected to get $150 for her bonus, but she only got $100. What was the percent error?

Answers

Answer:

Jasmine expected to get $150 for her bonus, but she only got $100. What was the percent error?

-----

Amt of error:: $50

----------

% error:: 50/150 = 1/3 = 33 1/3%

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