Contains the point (-5, 1) and is perpendicular to the line 2x − y = 4

Answers

Answer 1

Answer:

Step-by-step explanation:

2x − y = 4

2x − 4 = y

y = 2x - 4

negative inverse of slope is perpendicular

y = -1/2 x - 4

~~~~~~~~~~~~~~~~~~~~~~~

point slope form  of a line

(-5, 1) & m = -1/2

1 = -1/2 (-5) + b

1 = 5/2 + b

b = -3/2

Final answer:  y = -1/2 x - 3/2

or if you prefer: 2y + x = -3

Answer 2
2x - y = 4

Put into slope-intercept form
-y = -2x + 4
y = 2x + 4

The slope is 2/1 so a line perpendicular to it has the slope -1/2

Use point/slope form and (-5,1)
y - y1 = m(x - x1)
y - 1 = -1/2(x + 5)
y - 1 = -1/2x - 5/2
y = -1/2x - 3/2 :)

Related Questions

image. can someone help with this one uWu​

Answers

Answer:

8/33

Step-by-step explanation:

If f(x)=x^2−8x and g(x)=−12x^2 what is g(f(−4))?

Answers

Answer:

-27648

Step-by-step explanation:

In this problem, we are looking for the function of g in terms of the function f. Simply put, we just replace the variable x in the function g with f(-4).

Step 1, writing g(f(-4)):

[tex]g(f(-4))=-12(f(x))^2[/tex]

Great! Let us substitute f(x) with the given expression.

Step 2, substituting and simplifying:

[tex]\\g(f(-4))=-12(x^2-8x)^2\\g(f(-4))=-12((-4)^2-8*(-4))^2\\g(f(-4))=-12(16+32)^2\\g(f(-4))=-12*2304\\g(f(-4))=-27648[/tex]

g(f(-4) is [tex]\fbox{-27648}[/tex].

I hope this helps! Let me know if you have any questions :)


EX2. Find the solution of the following matrix using
Gauss elimination method, working 4D.
2.37 X1+3.06 X-4.28X, -1.76
1.46 Xi - 0.78 X+3.75X4.69
-3.69 X: +5.13 X:-1.06X, 5.74

Answers

Answer:

please post a more cohesive question. The values are very confusing

A triangle has two sides length 10 to 14 wht value could the length of the third side be

Answers

Answer:

[tex]4 < c < 24[/tex]

Step-by-step explanation:

Given

[tex]a = 10[/tex]

[tex]b = 14[/tex]

Required

The possible length of c

Using triangle inequality theorem, we have:

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

So, we have:

[tex]a + b > c[/tex]

[tex]10 + 14 > c[/tex]

[tex]24 > c[/tex]

Also:

[tex]a + c > b[/tex]

[tex]14 + c > 10[/tex]

[tex]c > 10 - 14[/tex]

[tex]c > - 4[/tex]

Lastly;

[tex]b + c > a[/tex]

[tex]10 + c > 14[/tex]

[tex]c > 14 - 10[/tex]

[tex]c > 4[/tex]

Write out all inequalities without negative consideration

[tex]24 > c[/tex]

[tex]c > 4[/tex]

Rewrite as:

[tex]c < 24[/tex]       [tex]4 < c[/tex]

Writing both together, we have:

[tex]4 < c < 24[/tex]

Hence, the third side can take its value from the range: [tex]4 < c < 24[/tex]

What are the three plot points and is it over the x-axis or y-axis

Answers

Answer:

(-2,1), (0,1), and (2,0). its over the y axis

Step-by-step explanation:

Answer:

shift it 3 values right and 2 units up

Step-by-step explanation:

moving x-axis and moving y-axis

Plz help. I was crying. Super challenging. Will give brainiest and will give 50 points for explained answer. Thx

Answers

Answer:

Paige is incorrect.  g(x) has a steeper slope

Step-by-step explanation:

The slope for f(x)  is

m =( y2-y1)/(x2-x1)

   = (17/2 - 5/2) / ( -1 - -6)

    = (17/2 - 5/2) / ( -1 +6)

    = (12/2)/5

    = 6/5

The slope for g(x)  is

m =( y2-y1)/(x2-x1)

   = (-1 - 13/3) / ( 6 - 2)

    =(-3/3 -13/3) / (6-2)

    (-16/3)/4

     -16/3 * 1/4

   - 4/3

Comparing the magnitudes

|6/5|   |-4/3|

|6/5*3/3|     |-4/3*5/5|

|18/15|           |20/15|

|20/15| is greater so it has a steeper slope

g(x) has a steeper slope

A. If I do something for 30 seconds every day for a whole year, how long did I do it in total.

B. If I do something for 10 seconds every day for a whole year, how long did I do it in total.​

Answers

Answer: 120 minutes

Step-by-step explanation:

Answer:

A. 10,950 seconds, 182.50 minuets, and about 3 hours

B. 3,650 seconds, about 60 minuets, or about 1 hour.

Step-by-step explanation:

A. We can multiply the seconds by the days in a year to get our answer, and we can simply divide if we want to get the amount of minuets or hours.

B. Same thing as "A", but all we do here, is multiply 10 by 365. :)

Question
Which of the following is equivalent to 1-12 + 3/?

Answers

d because if you look and add them there the exact the same

There are 12 adults, 24 girls and 6 boys in a room.
Work out the ratio of adults to girls to boys.
Write the answer in its simplest form.

Answers

Answer:

12:24:6- divide by 3

4:8:2 - divide by 2

2:4:1- simplest form

The initial number of views for a reader board is 25. The number of views is growing exponentially at a rate of 18% per week. What is the number of views expected to be four weeks from now?

Answers

Answer:

48

Step-by-step explanation:

n = 25(1.18)^4

n = 48.469444

Rounded to 48

Answer:

48 views.

Step-by-step explanation:

18% = 0.18 as a decimal fraction.

The increase in number of books per week is  found by multiplying by 1.18.

The equation is  an exponential one and is:

V = 25(1.18)^t  where V = views and t = number of weeks.

So after 4 weeks :

V = 25 (1.18)^4

= 48.47

find the surface area of the composite figure​

Answers

Answer:

[tex]=280[/tex] [tex]in^2[/tex]

Step-by-step explanation:

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

Let's find the surface area of the pink rectangular prism first.

[tex]2*10=20+20=40[/tex]

[tex]4*10=40+40=80[/tex]

[tex]4*2=8+8=16[/tex]

[tex]40+80+16=136[/tex]

The surface area for the pink rectangular prism is [tex]136[/tex] [tex]in^2[/tex].

-------------------->>>>>

Now, let's find the surface area of the green rectangular prism.

[tex]4*7=28+28=56[/tex]

[tex]4*7=28+28=56[/tex]

[tex]4*4=16+16=32[/tex]

[tex]56+56+32=144[/tex]

The surface area for the green rectangular prism is 144 [tex]in^2[/tex].

-------------------->>>>>

Now let's add the surface area of both rectangular prisms to find the surface area of the composite figure.

[tex]136+144=[/tex]

[tex]=280[/tex] [tex]in^2[/tex]

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

Hope this is helpful.

9514 1404 393

Answer:

  224 in²

Step-by-step explanation:

There are a couple of ways to go at this. Here, we choose to figure the areas of each of the prisms individually, then subtract the "hidden" area where they are joined together.

The area of a prism is ...

  A = 2(LW +H(L+W))

Pink area:

  A = 2(10·4 +2(10+4)) = 2(40 +28) = 136 . . . square inches

Green area:

  A = 2(7·4 +4(7+4)) = 2(28 +44) = 144 . . . square inches

One 4 in × 7 in face of the green prism meets with a similar area of the pink prism, so the area hidden at that interface is 2(4·7) = 56 square inches. Then the total surface area of the composite figure is ...

  SA = 136 in² +144 in² -56 in² = 224 in²

Solve this pls help


How did the Californian gold rush have an effect on people?

Answers

Answer:

The gold rush has a big impact on people. Especially since it helped shaped the course of California's development by bringing economic growth.

PLSSSS ANSWER!!!!!!!!!

Answers

Which one did you need help with?

You are ordering a new home theater system that consists of a TV, surround sound system, and DVD player. You can choose from 66 different TVs, 1212 types of surround sound systems, and 1818 types of DVD players. How many different home theater systems can you build

Answers

Answer:

You can build 1296 different home theater systems.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

There are:

6 different TVs

12 types of surround sound systems.

18 types of DVD players.

How many different home theater systems can you build?

The components are independent, so, by the fundamental counting principle:

6*12*18 = 1296

You can build 1296 different home theater systems.

Which expression is equivalent to the given expression?

6ab/(a^0b^2)^4

Answers

Answer:

,here is the answer

Step-by-step explanation:

here is your answer

what is the best estimate of (-3/8)(17 5/6)​

Answers

Answer:

-11

Step-by-step explanation:

Given the expression (-3/5)(17 5/6)

Converting the mixed to improper fraction

​(-3/5)(17 5/6)

=  (-3/5)(107/6)

= (-3*107)/(5*6)

= -321/30

= -10.7

Hence the required best estimate is -11

What is this function’s input if its output is 11?

f(x) = 2x + 5

Answers

Answer:

the input x is 3

Step-by-step explanation:

2x+5=11

   2x=6

     x=3

the input is 3 #speakingfromthehesrtbfletcher

Which polynomial is factored completely?

Answers

Answer:

You answered it

Help ASAP
What is the solution to this equation? (1/4)^x+1 =32

Answers

Answer:

B.  [tex]\displaystyle \frac{-7}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Exponential Rule [Powering]:                                                                           [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex] Exponential Rule [Rewrite]:                                                                              [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \bigg( \frac{1}{4} \bigg)^{x + 1} = 32[/tex]

Step 2: Solve for x

Rewrite:                                                                                                             [tex]\displaystyle \bigg( \frac{1}{2^2} \bigg)^{x + 1} = 2^5[/tex]Exponential Rule [Rewrite]:                                                                              [tex]\displaystyle (2^{-2})^{x + 1} = 2^5[/tex]Exponential Rule [Powering]:                                                                          [tex]\displaystyle 2^{-2(x + 1)} = 2^5[/tex]Set:                                                                                                                    [tex]\displaystyle -2(x + 1)} = 5[/tex][Division Property of Equality] Divide -2 on both sides:                                [tex]\displaystyle x + 1 = \frac{-5}{2}[/tex][Subtraction Property of Equality] Subtract -1 on both sides:                        [tex]\displaystyle x = \frac{-7}{2}[/tex]

I took 18 pencils from the box. this is equivalent to 2/5 of the total number of pencils.
How many pencils were there in the box originally. Show your work.

Answers

45
if 18 is 2/5, than 9 is 1/5. That means that 5/5 is 45.
Hope this helps!

Answer: 45 pencils were in the box originally

Step-by-step explanation:

Suppose there were x pencils in the box originally. Since 18 pencils is equal to 2/5 of the total number of pencils in the box originally, set 18 equal to 2/5x or

18=2/5x

Now solve

x = 18x5/2 = 45

Suppose we are sending a digital signal which is a string of 0s and 1s of length five. (Example stringsare 00101, 11000, 10101 are all 5 bit strings.) When we send the message, each bit (0 or 1) is sentindependently and there is some chance that the bit is corrupted. Namely, each time we send a 0 thereis a 5% chance that a 1 is received and each time we send a 1 there is a 5% chance a 0 is received.Suppose we send a message of length 5, what is the probability that an incorrect message is received

Answers

Answer:

0.7738 = 77.38% probability that an incorrect message is received.

Step-by-step explanation:

For each bit, there are only two possible outcomes. Either it is corrupted, or it is not. The probability of a bit being corrupted is independent of any other bit. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

5% probability a bit is sent incorrectly:

This means that [tex]p = 0.05[/tex]

Message of length 5

This means that [tex]n = 5[/tex]

What is the probability that an incorrect message is received?

This is the probability of at least one incorrect bit, which is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(0.05)^{0}.(0.95)^{5} = 0.7738[/tex]

0.7738 = 77.38% probability that an incorrect message is received.

What is the value of x? Round the answer to the nearest tenth.
DONT RESPOND WITH A LINK!!!!!!!

Answers

Answer:

i believe x is 16.1

Step-by-step explanation:

hope this helps

How many distinct 5 digit numbers can be formed from the list of numbers
{0,1,2,3,4,5,6,7,8,9}such that the number
i. Is an even number
ii. Is a Odd number
iii. Multiple of 5
iv. Never ends with {2,3,4,5}

Answers

Case 1: A 5 digit number with the digits {1,2,3,4,5}. Since 0 is not a part of this set and there are 5 different digits, we can form a total of 5P5 = 5! = 120 numbers.

Find(g-f)(x)
f(x)=1/x
g(x)=x^2+2x-5

a. 1/x-x^2-2x+5
b.1/x+x^2+2x-5
c.x^2+2x-5-1/x
d.1/x+x^2-5

Answers

Answer:

x^2+2x-5 - 1/x

Step-by-step explanation:

f(x)=1/x

g(x)=x^2+2x-5

(g-f)(x) = x^2+2x-5 - 1/x

Answer:

c. x² + 2x - 5 - 1 / x

Step-by-step explanation:

f ( x) = 1 / x.

g ( x) = x² + 2x - 5

so,

( g - f) ( x) = x² + 2x - 5 - 1 / x

x^3y+2x^2y^2+xy^3 and 2x^3+4x^2y+2xy^2 Find the HCF.​

Answers

Answer:

[tex]x(x+y)^2[/tex]

Step-by-step explanation:

We are given that

[tex]x^3y+2x^2y^2+xy^3[/tex] and [tex]2x^3+4x^2y+2xy^2[/tex]

We have to find HCF.

[tex]x^3y+2x^2y^2+xy^3=xy(x^2+2xy+y^2)[/tex]

=[tex]xy(x+y)^2[/tex]

By using the formula

[tex](x+y)^2=x^2+2xy+y^2[/tex]

[tex]xy(x+y)^2=x\times y\times (x+y)^2[/tex]

[tex]2x^3+4x^2y+2xy^2=2x(x^2+2xy+y^2)[/tex]

[tex]=2x(x+y)^2[/tex]

[tex]2x(x+y)^2=2\times x\times (x+y)^2[/tex]

HCF of ([tex]x^3y+2x^2y^2+xy^3,2x^3+4x^2y+2xy^2[/tex])

[tex]=x(x+y)^2[/tex]

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Kerri got a score of 80.8; this version has a mean of 62.1 and a standard deviation of 11. Cade got a score of 286.4; this version has a mean of 271 and a standard deviation of 22. Vincent got a score of 7.9; this version has a mean of 7.2 and a standard deviation of 0.7. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job

Answers

Answer:

Kerri

calculate z scores z= (x - xbar)/stdev

Kerri = 1.7

Cade = .7

Vincent = 1

Step-by-step explanation:

Assume that you purchased a new car today and financed $55,000 of the price on a 72-month payment contract with a nominal rate of 6.00%. Further, assume that you plan on paying off the balance of the car loan after you make your 48th payment. How much will your loan balance be when you pay off the car?

Answers

Answer:

The amount that your loan balance will be when you pay off the car is $20,566.18.

Step-by-step explanation:

Step 1. Calculation of monthly payment

This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:

PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

PV = Present value or the cost of the new car = $55,000

P = Monthly payment = ?

r = Monthly nominal rate = Nominal rate / 12 = 6% / 12 = 0.06 / 12 = 0.005

n = number of months = 72

Substitute the values into equation (1) and solve for P, we have:

$55,000 = P * ((1 - (1 / (1 + 0.005))^72) / 0.005)

$55,000 = P * 60.3395139355201

P = $55,000 / 60.3395139355201 = $911.51

Step 2. Calculation of the loan amount balance when you pay off the car

This can be calculated using the ballon payment formula as follows:

P = (PV - (Ballon / (1 + r)^n)) * (r / (1 – (1 + r)^-n)) ...................... (1)

Where:

P = Monthly payment = $911.51

PV = Present value or the cost of the new car = $55,000

Ballon = Ballon payment or the loan amount balance when you pay off the car = ?

r = Monthly nominal rate = Nominal rate / 12 = 6% / 12 = 0.06 / 12 = 0.005

n = number months to pay off the loan amount balance = 48

Substituting the values into equation (1) and solve for Ballon, we have:

911.51 = (55,000 - (Ballon / (1 + 0.005)^48)) * (0.005 / (1 - (1 + 0.005)^-48))

911.51 = (55,000 - (Ballon / 1.27048916109538)) * 0.0234850290479363

911.51 / 0.0234850290479363 = 55,000 - (Ballon / 1.27048916109538)

38,812.39 = 55,000 - (Ballon / 1.27048916109538)

Ballon / 1.27048916109538 = 55,000 - 38,812.39

Ballon / 1.27048916109538 = 16,187.61

Ballon = 16,187.61 * 1.27048916109538

Ballon = $20,566.18

Therefore, the amount that your loan balance will be when you pay off the car is $20,566.18.

Which option shows the graph of 3y+18>5x

Answers

Hi, I'm so sorry I can't answer that. but I have something you can answer that. Search in browser or anything searcher that you have "Quickmath" or "Cymath" all your equations,problems can solved

Step-by-step explanation:

i hope it helps

60.3 60.44 witch one is greater

Answers

60.44 is greater than 60.3
-you can see this when you subtract 60.3 from 60.44 this would leave a 0.11 which is a positive number.
-thus meaning 60.44 is larger/greater.

What is the probability of flipping a coin 10 times and getting heads 5 times? Round your answer to the nearest tenth percent.

Answers

The Probability is 1/2 or .5, .5 rounded to the nearest tenth would be irregular because .5 is already in the tenth place but according to the law of rounding since ut is five it would be rounded up giving the whole number 1

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