Given the equation: 3x − 4y = 8,

a) write an equation of a line parallel that passes through the point (-16, 4).

b) write an equation of a line perpendicular that passes through the point (9, -7).

Answers

Answer 1

Answer:

use slope intercept formula

y=Mx +b

Step-by-step explanation:

3X-4Y=8

3X-8 = 4Y

y = 3/4x-2

our new equation just needs to have the same slope  M= 3/4

y-y1=M(x-x1)

y-4=3/4(x-(-16))

y=3/4x+12+4

y=3/4x+16  answer a

for a perpendicular line.. just take the inverse of the slope... and change the sign.  so now our slope is - 4/3

plug in our new point (9,-7)

y-(-7) = -4/3(x-9)

y+7=-4/3x+12

y= -4/3x +5 answer b


Related Questions


What is the least common denominator of 2/3, 1/6 and 11/12

Answers

Answer:

2/3 = 8/12

1/6 = 2/12

11/12 = 11/12

In? gambling, the chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ratio of the number of successful outcomes to the number of unsuccessful outcomes. The odds of losing is the ratio of the number of unsuccessful outcomes to the number of successful outcomes. For? example, if the number of successful outcomes is 2 and the number of unsuccessful outcomes is? 3, the odds of winning are 2:3(Note; if the odds of winning are 2/3, the propability of sucess is2/5)

The odds of event occuring are 1:6. Find (a) the propability that the event will occur,(b) propability that the event will not occur.

(a)The propability that event will occur is....(TYPE AN INTEGER OR DECIMAL ROUNDED TO THE NEAREST THOUSANDTH AS NEEDED.)

(b)The propability thet the event will not occur is...(TYPE AN INTEGER OR DECIMAL ROUNDED TO THE NEAREST THOUSANDTH AS NEEDED)

Answers

Answer:

A) The probability that the event will occur[tex]=\frac{1}{7}[/tex]

B)The probability that the event will not occur = [tex]\frac{6}{7}[/tex]

Step-by-step explanation:

We are given that The odds of event occurring are 1:6.

So, Number of successful events = 1

Number of unsuccessful events = 6

So, Total events = 6+1=7

a)the probability that the event will occur=[tex]\frac{\text{Favorable event}}{\text{Total event}}[/tex]

The probability that the event will occur[tex]=\frac{1}{7}[/tex]

b)The probability that the event will not occur =[tex]\frac{\text{Favorable event}}{\text{Total event}}[/tex]

The probability that the event will not occur = [tex]\frac{6}{7}[/tex]

Look at this as a fraction and break it down.
Simplify as much as possible:
-70
-28

Answers

Answer:

espera y termino y te ayudo vale que me falta poco vale

The answers is 2 wholes and 1 half.

3x+2=7x+6 what is x​

Answers

Answer: -1

1. Deduct 7x.

3x+2−7x=7x+6−7x

−4x+2=6

2. Deduct both sides by 2.

−4x+2−2=6−2

−4x =4

3. Divide by 4.

-4 ÷ 4 = -1

Answer. = -1

Step-by-step explanation:

313.92 ÷ 6.4 + 200.4 What is the value of the expression?

Answers

Answer:249.45

Step-by-step explanation: First take 313.92 divided by 6.4  and then add 200.4 which is when you get your final answer of 249.45

what is the estimated square root of 15 closest to​

Answers

If you square root 15 it comes out as 3.87.... round then it come to 3.9

An element with mass 640 grams decays by 7.3% per minute. How much of the element is remaining after 8 minutes to the nearest 10th of a gram?

Answers

9514 1404 393

Answer:

  349.0 grams

Step-by-step explanation:

The amount remaining can be modeled by an exponential function of the form ...

  remaining = (initial amount)(1 - decay rate)^t

  q(t) = 640(1 -0.073)^t

  q(8) = 640(0.927^8) ≈ 349.0 . . . grams

The amount remaining after 8 minutes is about 349.0 grams.

The quarter note is the note with the shortest duration.
True
False

Answers

Answer:

false

Step-by-step explanation:

A 256th note is known as a demisemihemidemisemi quaver

Answer:

False

Step-by-step explanation:

because its not the shortest there are another

eli worked on a part time job in summer for 6 days. he worked 4 hours on each of the 6 days. he was paid a total of 300 for his work. how much did he get paid for each hour he worked? writer your number as a mixed number in the simplest form.

Answers

Answer:

$12.50 per hour

Step-by-step explanation:

Venu goes to a fruit stand and buys some apples and bananas. Let A represent the number of apples she buys, & the number of bananas she buys, CA the cost of each apple, and C, the cost of each banana. a. Is the expression A+B meaningful in this situation? If so, what does it mean? If not explain why not b. Is the expression A - Ce meaningful in this situation? If so, what does it mean? If not, explain why not 2 Write an expression for the total cost of Venu's purchase. ​

Answers

From
E
q
n
(
1
)
we have
A
c
=
20

B
c

...
...
E
q
u
a
t
i
o
n
(
1
a
)

Using
E
q
n
(
1
a
)
substitute for
A
c
is
E
q
n
(
2
)

$
0.5
(
A
c
)
dddd
+
$
0.75
B
c
=
$
11.50

...
...
...
E
q
u
a
t
i
o
n
(
2
)
$
0.5
(
20

B
c
)
+
$
0.75
B
c
=
$
11.50

$
10.0

$
0.5
B
c
+
$
0.75
B
c
=
$
11.50

Subtract
$
10
from both sides
$
0.75
B
c

$
0.5
B
c
=
$
1.50

$
0.25
B
c
=
$
1.50

To 'get rid' of the decimals multiply both sides by 100
$
25
B
c
=
$
150

Divide both sides by
$
25

B
c
=
6

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Using
E
q
n
(
1
)
substitute for
B
c

A
c
+
B
c
=
20

...
...
...
...
...
...
...
.
E
q
u
a
t
i
o
n
(
1
)

A
c
+
6
=
20

Subtract 6 from both sides
'
A
c
=
14

So the answer is:
14 apples and 6 bananas

Answer: wow that's crazy cause I need help with the same answer

Step-by-step explanation:

How do I work the problem the ratio of Jane age to her daughter age is 9:2 the sum of their ages is 44... how old is jane

Answers

Answer:

Jane is 4years old......

Need help ASAP with my math

Answers

U need a calculator for that lol

Answer:  The answer is -2

Step-by-step explanation: I want points and trust me this answer is correct

Which of the following statements correctly uses the distributive property?
-2(15 - 3) = -2(15) + (-2)(3)
0719- 8) = 7(9) - 8
91-7 + 6) = 9(-7) + 9(6)
-3(12 + 5) = -3(12) - (-3)(5)

Answers

-3(12+5) = -3(12)-(-3)(5)

Step-by-step explanation:

the distributive property is distributing the -3 to each number

HELP ME PLEASE ASAO DUE SOON

Answers

Answer:

150 ft/hr

Step-by-step explanation:

Average rate of change is slope over an interval, so change in y over change in x:

[tex]\frac{3500-3200}{3-1} =150[/tex] ft/hr

The inverse of a linear function is a blank function

Answers

Answer:

The inverse of a linear function is not a function. Hope this helped

Step-by-step explanation:

What are the angles x?

Answers

Answer:

TOP LEFT TRIANGLE:  x=28°

BOTTOM LEFT TRIANGLE:  x=90°

TRIANGLE ON THE RIGHT:  x=34°

Step-by-step explanation:

TOP: the triangle on the right has 90 and 39.  That makes the third one 51. It’s supplement is 129.  129+23=152. 180-152=28. X=28°

BOTTOM: 180-119=61.  61+29=90.  180-90=90.  X=90°

RIGHT: right triangle has 90 and 70.  90+70=160. 180-160=20

180-70-41-15-20=34°

5) The price of a gallon of gas was $4.00. The price went up by 10% and then went down by 10%. Antonio thinks that since the price both rises and falls by 10%, the price of a gallon of gas is back to $4.00. His teacher tells him that he is incorrect. Explain why Antonio's reasoning is incorrect. (1 point) Determine the price of a gallon of gas after the 10% rise and 10% fall. (1 point) Total of 2 points. *

Answers

Answer:

Antonio is wrong because 10% of 4.00 is .40 and if the price goes up then the price is $4.40 and since the price is going down by ten percent, ten percent if $4.40 is .44 and therefore the price is $3.96.

There is triangle one of the angles is 101 degrees and the other is 38 workout x

Answers

Angle sum property = Sum of the three angles of a triangle will be equal to 180° .

Using this let us find out the measure of x .

Measure of first angle = 101°

Measure of second angle = 38°

Measure of third angle = x

[tex]101 + 38 + x = 180[/tex]

[tex]139 + x = 180[/tex]

[tex]x = 180 - 139[/tex]

[tex] = x = 41[/tex]

[tex]∴ \: the \: value \: of \: x \: = 41°[/tex]

If x an y are natural numbers then x-y is a natural number what is the converse of this statement

Answers

9514 1404 393

Answer:

  If x-y is a natural number, then x and y are natural numbers.

Step-by-step explanation:

The converse of ...

  If P, then Q.

is ...

  If Q, then P.

__

Here, we have ...

  P = "x and y are natural numbers"

  Q = "x-y is a natural number"

So, the converse is ...

  If x-y is a natural number, then x and y are natural numbers.

_____

In this case, the converse is false.

Explain the phrase conservation of energy and provide an example.

Answers

Answer:

Conservation of energy, principle of physics according to which the energy of interacting bodies or particles in a closed system remains constant. ... For example, when a pendulum swings upward, kinetic energy is converted to potential energy.

Step-by-step explanation:

I need help plz with this question

Answers

I’m not sure if this is right cuz I googled it lol but google is telling me

1/4 & 2/9 are perfect squares and the rest aren’t

Please answer this correctly without making mistakes

Answers

Answer:

89%

Step-by-step explanation:

There are 100 units within the shape and 89 of them are painted so 89% is orange

PLEASE HELP!!! i’ll give brainliest

Answers

Answer:

x = [tex]\sqrt{164[/tex]

Step-by-step explanation:

In order to find the hypothenuse, you need to do [tex]8^{2} + 10^{2}[/tex]. Which equals 164. Therefore, since [tex]a^{2} +b^{2} =c^{2}[/tex], a=8, b=10, and c=[tex]\sqrt{164[/tex].

SHOW YOUR WORK! PLEASE HELP ASAP.
ITS REALLY SIMPLE PLEASE HELP DONT IGNORE

Xavier is solving a problem on the whiteboard as shown.
Part A. Is Xavier's solution correct? If not, identify where he made an error.
Part B. Solve 7950 divided by 25.

Answers

Let us see how we can solve this step by step each :

6417 ÷ 31 , we divide 64 by 31 and get the resulting quotient as 2 .

Then we bring down 1 . So , the number below is 21 , which cannot be divided by 31 .

So , we will have to bring down 7 for which we have to add a 0 to the quotient . Then the quotient will become 20 as of now .

As 217 is divisible by 3 , I put seven near 21 , making the quotient as 217 and get the remainder 0 .

Hence in the correct solution the correct quotient = 207 .

In Xavier's solution :

But the same thing has not been done in Xavier's solution as he has put a 0 after 7 instead of putting it before 7 . Hence , Xavier's mistake is that he put the 0 after 7 instead of putting it before 7 .

In Xavier's solution the quotient is = 270

Therefore , Xavier's mistake is that he put the 0 after 7 instead of putting it before 7 .

I need help ASAP due rn!

Solve the equation by completing the square. Show all your steps
X^2-6x+13=0

Answers

There are no real solutions

Use the drop-down menu to complete the statement.
To find the quotient of 2 -
3
circle groups of
8
loo

Answers

Answer:

its 3/8

Step-by-step explanation:

Hopes this helps <3

On Monday, your bank account balance was −$12.90. Because you didn't realize this, you wrote a check for $30.39 for groceries.

Answers

Answer:

$17.49

Step-by-step explanation: You need to subtract $30.39 by $12.90

$30.39

-$12.90

First, its 9 - 0 which will = 9.

Then, 3 - 9. but you can do that so you have to make the 3 in 30, into a 2 then make the 0 in 30 a ten, then make that 10 into a 9, then make the 3 into 13.

So 13 - 9 = 4.

Now you have 9 - 2. Which will = 7.

Last, its 2 - 1 which will = 1.

so after all of that you get: $17.49

Answer:

Step-by-step explanation:

To find the balance, take the old balance and subtract the amount spent on groceries.  next u have to minues -12.90 from 30.39 =17.49

PLZZ ANSWER THE QUESTION ​

Answers

Answer:

c

Step-by-step explanation:

y = mx + b

”m” is the slope, so the slope is -2

”b” is the y - intercept, so the y - intercept is (0 , 1)

5) Using limits, describe a function that has a removable discontinuity at x = 5.​

Answers

Answer:

it would be 23x but i really don't know

Step-by-step explanation:

i hope you get it right

please hurry, i’ll give you 30 points

Answers

Answer:

I cant graph them obviously, but a is not a linear function and b is.

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Charlie and Kathy want to borrow $21254 to make some home improvements. Their bank will lend them the money for 9 years at an interest rate of 5.07%. Howmuch will they pay in interest? The following summary transactions occurred during 2021 for Bluebonnet Bakers: Cash Received from: Collections from customers $490,000 Interest on notes receivable 11,500 Collection of notes receivable 54,000 Sale of investments 34,000 Issuance of notes payable 175,000 Cash Paid for: Purchase of inventory 235,000 Interest on notes payable 7,500 Purchase of equipment 90,000 Salaries to employees 95,000 Payment of notes payable 40,000 Dividends to shareholders 35,000 The balance of cash and cash equivalents at the beginning of 2021 was $26,000. Required: Prepare a statement of cash flows for 2021 for Bluebonnet Bakers. Use the direct method for reporting operating activities nucleus is what? please healp Write a program that prompts the user to enter the number of students and each student's name and score, and finally displays the student with the highest score (display the student's name and score). Also calculate the average score and indicate by how much the highest score differs from the average. Use a while loop. "I froze in the mouth of the tunnel. The room was as I remembered it, shockinglywell preserved." What does this thought of David's convey to the reader about howDavid is feeling? Find the missing angle measurements? In many classic Disney movies, the main struggle of the film is seen through the point of view of the protagonist, or good guy/girl. For today's journal, choose a Disney movie that you know well and write a 6 to 7 sentence paragraph from the point of view of the antagonist, or bad guy/girl. For this exercise, you will write in First Person Point of View. In your response, do not name the movie you are writing about. You can write a scene in which your character is participating, or you can write a diary entry from their perspective. A company has total equity of $1,965, net working capital of $175, long-term debt of $940, and current liabilities of $1,770. What is the company's net fixed assets? Identify at least three external conflicts in the play. Then describe the internal conflict that Proctor faces. How could Proctor's conflict relate to a broader conflict in the playbetween public appearance and private reality? Explain your answers using specific examples from the play. 4x - 3= 10What number is x Mr. Leto plans to save money to buy a carpet. If he saves $50 each week for 30 weeks, he will have saved the exact amount of money needed to buy the carpet. If Mr. Leto instead saves $75 each week, how many weeks will it take him to save the same amount of money? Need help with 22 and please gives explanation Alexa is the popular virtual assistant developed by Amazon. Alexa interacts with users using artificial intelligence and voice recognition. It can be used to perform daily tasks such as making to-do lists, reporting the news and weather, and interacting with other smart devices in the home. In , the Amazon Alexa app was downloaded some 2800 times per day from the Google Play store (AppBrain website). Assume that the number of downloads per day of the Amazon Alexa app is normally distributed with a mean of 2800 and standard deviation of 860. What is the probability there are 2000 or fewer downloads of Amazon Alexa in a day (to 4 decimals)? What is the probability there are between 1500 and 2500 downloads of Amazon Alexa in a day (to 4 decimals)? What is the probability there are more than 3000 downloads of Amazon Alexa in a day (to 4 decimals)? Assume that Google has designed its servers so there is probability 0.01 that the number of Amazon Alexa app downloads in a day exceeds the servers' capacity and more servers have to be brought online. How many Amazon Alexa app downloads per day are Google's servers designed to handle (to the nearest whole number)? *blank* are people who practice the religion of *blank*. They believe in the holy prophet *blank* and in one God, *blank*. block of mass m sits at rest on a rough inclined ramp that makes an angle with the horizontal. What must be true about normal force F on the block due to the ramp How did Southerners react to the statements of the abolitionists? All of the following represent the same function except Walking in the rain is...FINISH THE SENTENCE WITH ATLEAST 5-6 In order to be successful at marking a text with symbols, you first need to:A. get highlight pens in at least three different colors.B. come up with a set of simple categories.C. list the questions you want answered by the text.D. figure out what you already know about the subject. A projectile is launched with an initial velocity of 1.414 m/s at 45 above the horizontal. What is the vertical component of the projectile's velocity when it strikes a wall 0.50 m away?