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

Use the diagram to complete the statements.
The measure of minor arc EF i
The measure of angle DAB is
35.5
.5
71
109

Answers

Answer:

EF is 109

DAB is 54.5

Step-by-step explanation:

Applying the central angle theorem, the correct statement would be:

Measure of minor arc EF = 109°Measure of angle DAB = 54.5°

What is the Central Angle Theorems?

The central angle theorem states that:

Measure of intercepted arc = 1/2(measure of inscribed angle)Measure of central angle = measure of intercepted arc

Thus:

Measure of minor arc EF = m∠ECF = 109°

m∠DAB = 1/2(109°) [m∠ECF = m∠BAD = 109°]

m∠DAB = 54.5°

Therefore, applying the central angle theorem, the correct statement would be:

Measure of minor arc EF = 109°Measure of angle DAB = 54.5°

Learn more about central angle theorem on:

https://brainly.com/question/5436956

Pleaseee helppp me on this

Answers

Answer:

(-7,-13) (-6,-12) (3,-3) (5,-1) (7,1)

Step-by-step explanation:

plug in each x value into the equation

take -7 for example

when -7 is x, we plug it into the equation

[tex]y=x-6[/tex]

[tex]y = (-7) -6[/tex]

[tex]y=-13[/tex]

you would do this same process for the rest of the x values.

find the surface area of puzzlecube 5.7 ​

Answers

Answer:

9units squared

Step-by-step explanation:

A standard rubix cube is 3 by 3 and therefor 3 x 3 is 9

Question 6 (1 point)
Which point is not included in the solution set of the system of inequalities graphed below?

LOOK AT PICTURE

Answers

The (-3,4) because it isn’t following the line it’s in between he two lines and the other answers are on the line.
I’m not sure but good luck you got this

Volume by multiplying area of base times height

Answers

Answer:v= x a h add then multiply

Step-by-step explanation:

1. Write an integer that can
represent 200 years ago?


Answers

200 ??

200 is an integer

or 20

or 2

I’ll mark you if you get the right answer and I have another problem so if you can find it pls help!

Answers

Answer:

D

Step-by-step explanation:

1/2 * 3/4 equals 0.375 which is less than .5

.5= 1/2

so therefore,  im right i guess.

what is the range of the following data set?​

Answers

Answer:  The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

eight times the reciprocal of a number equals 4 times the reciprocal of 2. find the number

Answers

Answer:

The number is 4

Step-by-step explanation:

Let the number  = 'x'

Reciprocal of 'x' = 1/x

Reciprocal of 2 = 1/2

8 times the reciprocal of 'x' = [tex]8*\frac{1}{x}\\[/tex]

[tex]8*\frac{1}{x}= 4* \frac{1}{2}\\\\8*\frac{1}{x}= 2\\[/tex]

Now multiply both sides by x

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

Now divide both sides by 2

[tex]\frac{8}{2}=\frac{2x}{2}\\\\4 = x[/tex]

x = 4

Order these numbers from least to greatest:
|-17|
|-18|
-18
|19|
20

Answers

Answer: -18, l-17l, l-18l, l19l, 20

Step-by-step explanation: You can just think of the ones in absolute value brackets as positive.

In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34). If one ticket is purchased, what is the probability of winning the jackpot? Testir​

Answers

This can be found by finding 44 chosen 5 at a time times 1/32.
That would be
44! / (44-5)!(5!) * 32 =
1 chance in 34,752,256

The probability of winning the jackpot is 1/32728332.

What is Probability?

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls (1 through 43) and matching the number on the gold ball (1 through 34).

Total number of white balls = 43

Number of combinations of selecting 5 from 43 = 43C₅  

                                                                                = 43! / (5! × 38!)

                                                                                = 962598

Total number of gold balls = 34

Number of combinations of selecting 1 from 34 = 34C₁

                                                                               = 34

Total number of ways of selecting 5 white balls and 1 gold ball = 962598 × 34 = 32728332

There is only 1 way for which the player wins the jackpot.

Probability of winning the jackpot = 1/32728332

Hence the required probability is 1/32728332.

Learn more about Combinations here :

https://brainly.com/question/13027684

#SPJ2

Please help with this I don’t know how to work with slopes

Answers

Answer:

1/2x

Step-by-step explanation:

Slope is

Rise over run  In a fraction the rise is the numerator and the run is the denominator

From getting one point to another

You rise 1 and run 2

Which is the equivalent of 1/2

Answer:

Step-by-step explanation:

(-1, -4) (1, -3)

(-3 + 4)/(1 + 1) = 1/2

Find f(3.5) if f(x) = (4x - 2)/10

Answers

Answer:

when f=3.5, f(x) = 1.2

Step-by-step explanation:

[4(3.5) -2] / 10 = 12/10 = 1.2

mark the points on the graph !!! please help

Answers

Answer:

Go to an online grapher called desmos . com where you can graph and get the answer! The website is used in khan academy

Step-by-step explanation:

the unit rate 18 meters in 15 minutes

Answers

Answer:

1.2 meters per minute

Step-by-step explanation:

18÷15/15÷15

1.2 meters/1 minute

1.2 meters/minute

(a) Points and are shown on the number line. Part A Find the distances between points and and between points and . Show your work or explain your answers. Refer to the number lint in your explanation. Enter your answers and your work or explanation in the box provided.

Answers

Step-by-step explanation:

Im donating points thank you

Answer:

do you have a graph? we can't do it unless you have one.


I need questions 1 , 2 ,3 answered please :)

Answers

9514 1404 393

Answer:

54°both are 73°x = 12

Step-by-step explanation:

Some useful relations are ...

  A triangle inscribed in a semicircle is a right triangle.

  Acute angles in a right triangle are complementary.

  An inscribed angle is half the measure of the arc it intercepts.

  The sum of arcs around a circle is 360°; 180° around a semicircle.

__

1. Arc DF is twice the marked inscribed angle, so is 126°. Arc FE is supplementary to that, so is ...

  arc FE = 180° -126°

  arc FE = 54°

Alternate solution: arc FE is twice angle D, which is the complement of 63°.

  2(90° -63°) = 2(27°) = 54° = arc FE

__

2. Arc GJ = 360°-68° -31° -115° = 146°

  angle GHJ = angle GIJ = 146°/2 = 73°

__

3. arc UT = 2(90° -43°) = 94°

  9x -14 = 94

  9x = 108 . . . . . add 14

  x = 12 . . . . . . . . divide by 9

7 over 6 divided by 4

Answers

Answer:

0.29

Step-by-step explanation:

I used a calculator

Find the values of the variable In The figure

Answers

Answer:

A. 18

Step-by-step explanation:

Sum of the measures of all the angles of a quadrilateral is 360°

Therefore,

[tex]2m \degree + 8m \degree + 6m \degree + 4m \degree = 360 \degree \\ 20m \degree = 360 \degree \\ 20m = 360 \\ m = \frac{360}{20} \\ m = 18[/tex]

narvella cut 1/2 of a pumpkin pie into 5 equal servings. what fraction of the whole pie is each of these servings?

a : 1/4

b : 1/2

c : 1/10

d : 1/8

Answers

Answer:

C. 1/10

Step-by-step explanation:

Can someone help me pls

Answers

Answer:

I’m not sure what the question is asking, the picture is blurry, Nassiya.

Step-by-step explanation:

in her kayak bunny can travel 70 miles downstream with the current in 5 hours. the return trip against the current takes 7 hours. find the speed of the kayak in Stillwater and the speed of the current​

Answers

9514 1404 393

Answer:

kayak: 12 mphcurrent: 2 mph

Step-by-step explanation:

Bunny's rate downstream is ...

  (70 mi)/(5 h) = 14 mi/h = k + c

Bunny's rate upstream is ...

  (70 mi)/(7 h) = 10 mi/h = k -c

The kayak speed is the average of these:

  (14 mi/h +10 mi/h)/2 = ((k +c) +(k -c))/2

  (24 mi/h)/2 = 2k/2

  12 mi/h = k

Then the current speed is ...

  c = k -10 = 12 -10 = 2 . . . . mi/h

The still-water speed of the kayak is 12 mi/h; the speed of the current is 2 mi/h.

_____

Additional comment

World-class kayak paddlers will not maintain a speed more than 8 mi/h for that distance and/or time (140 miles in 12 hours). Bunny is exceptional.

I NEED ANSWERS WITH WORKOUT PLS ANYONE HELP / WRITE ON PAPER!

-giving brainlist

Answers

Answer:

I don't know if this is all correct, but I tried

Someone help me with this please I will mark Brainliest if correct.

Answers

Answer:

Add the formula do the math!

I will give you the answer later!

P.s maybe after you tell me if you figured it out!

Step-by-step explanation:

Have a great week!

Hope i helped! <3

Tell me if so!

Your welcome!

Byes! :)

-Sincerely, Brainliest!

Question:

Simplify. √(36)²

Answers

Answer:

36

Step-by-step explanation:

sqrt(36)^2

36

I hope this helps

The figure below is a scale drawing of a
rectangular ball room. The scale is 2 cm:4
m.
6 cm.
12 cm.
What is the area of the actual room?
A. 72 m²
B. 144 m2
C. 288 m
D. 576 m

Answers

Answer:

Area of the actual room = 288 m²

Step-by-step explanation:

Given:

Scale factor = 2cm to 4 m

Dimension of rectangle ball room = 6 cm and 12 cm

Find:

Area of the actual room

Computation:

Actual dimension of rectangle ball room;

⇒ [6/2]4 = 12 m

⇒ [12/2]4 = 24 m

Area of rectangle = Length x Width

⇒ Area of the actual room = Actual length x Actual width

⇒ Area of the actual room = 12 x 24

Area of the actual room = 288 m²

5. Casey's bank account offers him 2% interest every year, given by the equation
g(x)= 1.02. If Casey deposits $5,625 in his bank account, which equation
represents the amount of money that will be in his account after 2 years?

Answers

Answer:

Casey will have 5852.25 in his bank account after 2 years.

Step-by-Step Explaination:

2%=0.02

0.02*5625=112.5

112.5+5625=5737.5

0.02*5737.5=114.75

114.75+5737.5=5852.25

4 more than twice a number is less than the opposite of the number

Answers

Answer:

x=1

Step-by-step explanation:

2n+4<-n

:

2n+n+4<0

:

3n<-4

:

n<-4/3

:

0<2

Brainliest for correct answer

Answers

the answer is D i’m sure

What's the measure of X

Answers

the triangles are both ratios of each other so the angles are the same

180-25-85= 70°

the answer is A 70°
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