What is the slope of a line that is perpendicular to the line with equation 12x+3y=9?

Answers

Answer 1

Answer:

The slope would be 1/4.

Step-by-step explanation:

To find the perpendicular slope first you have to set this equation to y

to do this you use the subtraction prop of equality and you will get 12x-9= -3y

then you divide by -3 on both sides to get y by itself

you will get -4x+3=y

now that you know the slope is -4, you must find the negative reciprocal slope of this which means you have to flip the numerator and denominator and make the sign its opposite.

The perpendicular slope would then be 1/4.


Related Questions

A baby elephant weighs 200 pounds at birth. It gains 3 pounds every day. Write an equation that represents this situation.

Answers

Answer:

y=200+3x

Step-by-step explanation:

I hope that this helps you

PLEASE HELP MEEEE I HAVE AN F IN MATH AND I SERIOUSLY NEED THIS

Answers

Ok do u have a app I can send it Bc I did this

at 6:00 a.m., the temperature is 58°. At 2:00 p.m., temperature is 76°. Find the rate of change in degrees per hour during this time.

Answers

Answer:

The rate of change is of 2.25 degrees per hour.

Step-by-step explanation:

The rate of change in degrees per hour is given by by the change in temperature divided by the change in time(by number of hours).

In this question:

From 6 am to 2 pm, there are 12 - 6 + 2 - 0 = 6 + 2 = 8 hours

The change in temperature was of 76 - 58 = 18º

Rate of change:

18º/8 = 2.25º

The rate of change is of 2.25 degrees per hour.

Please answer this correctly without making mistakes

Answers

Answer:

1 mi 1927 ft

Step-by-step explanation:

Turn everything into feet:

5mi x 5280 ft/1 mi  = 26,400ft + 1,348 ft = 27, 748 ft

3mi x 5280 ft/1 mi = 15,840ft + 4,701 ft = 20,541 ft

Do the subtration that the problem wants you to do:

27, 748 ft - 20,541 ft = 7,207 ft

Turn the answer into mi & ft:

7,207 ft - 5280 ft = 1927 ft

=

1 mi 1927 ft

Carlos tried to find a fraction equivalent to 2/3. Below is his work. Which
statement describes Carlos' error?
2/3=2/3 x 1/4=2/12




He should have divided by 1/4.
He incorrectly multiplied 2/3 and 1/4.
It is impossible to find a fraction equivalent to 2/3.
He did not multiply 2/3 by a fraction equal to 1.

Answers

Answer:

He did not multiply 2/3 by a fraction equal to 1.

Step-by-step explanation:

For example he could have multiplied 2/3 by 4/4

= 2*4/3*4 = 8/12,

A printer prints 24 pages in 3 minutes which unit rate is correct

Answers

Answer:

 8 pages per minute

Step-step explanation:

24 / 3

What percentage is 0.00042 ?

Answers

Answer:

0.042%

How much is the decimal number 0.00042 written as (converted to) a percent value? Answer: 0.042%

Step-by-step explanation:

hope it helps please give me a heart

Answer:

0.042%

Step-by-step explanation:

0.00042 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % . 0.00042 * 100 = 0.042% and then you get your answer!

I need help! I have an idea of which pick.

Answers

Answer: ok so I am bad at this but i would pick.....the top one

Step-by-step explanation:

A bacteria culture grows with constant relative growth rate. The bacteria count was 1296 after 2 hours and 531441 after 6 hours. Answer the following questions. 1. What is the relative growth rate

Answers

Answer:

1)k=1.50408

2)=64

3)P(t)=64e^(1.50408t)

4)=118098

5)t=6.42 hrs

Step-by-step explanation:

CHECK THE COMPLETE QUESTION BELOW

A bacteria culture grows with constant relative growth rate. The bacteria count was 1296 after 2 hours and 531441 after 6 hours. Answer the following questions.

1. What is the relative growth rate?

2. What was the initial size of the culture?

3. Find an expression for the number of bacteria after t hours.

4. Find the number of cells after 5 hours.

5. When will the population reach 1000000?

To find relative growth rate, expression below can be used

P(t)= Po*e^(kt)

Where k= growth rate

Po= initial amount

t= time in hours

We were given The bacteria count as 1296 after 2 hours and 531441 after 6 hours. This can be expressed below as

P(2)= P(o)e^(2k)= 1296.........eqn(1)

P(6)= P(o)e^(6k)= 531441........eqn(2)

If we find the ratio of the two eqn we have

531441/1296 =[P(o)e^(6k)]/[P(o)e^(2k)]

410.0625= e^(4k)

If we take Ln of both side

ln 410.0625=ln(e^4k)

k=1.50408

1)= k=1.50408

2)

From P(2)= Po*e^(2k)= 1296

1296=Po × e^(2×1.50408)

1296= Po × e^(3.00816)

Po=1296/e^(3.00816)

=64

3) the expression is P(t)=64e^(1.50408t)

4). P(5)=64e^(1.50408×5)

=118098

5) P(t)= 1,000,000

1000000=64e^(1.50408t)

1000000/64 = 64e^(1.50408t)

Ln(15625)=ln[e^(1.50408t)]

9.657=e^(1.50408t)

t=6.42 hrs

What's equivalent to 2/5?

Answers

Answer: 4/10 , 6/15, 8/20,

Step-by-step explanation:

Answer:  Equivalent fractions of 2/5 : 4/10 , 6/15 , 8/20 , 10/ Equivalent fractions of 3/5 : 6/10 , 9/15 , 12/20 , 15/

Step-by-step explanation:

QUESTION 7
Solve for x.
(3x + 32)
(5x-8)
O a. 3
b. 12
O c. 20
O d. 19.5

Answers

Answer:

The answer is x = 20

Step-by-step explanation:

If you set both equations equal to each other and solve for x, you will get 20.

3x+32 = 5x-8        add 8 to both sides

3x+40 = 5x           subtract 3x from both sides

40 = 2x                 divide by 2 on both sides

20 = x

An automobile manufacturer claims that its van has a 59.1 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 160 vans, they found a mean MPG of 59.5. Assume the variance is known to be 2.89. A level of significance of 0.1 will be used. Find the value of the test statistic. Round your answer to 2 decimal places.

Answers

Answer:

Test statistic Z = 1.8099

Step-by-step explanation:

Step(i):-

Given that mean of the Population (μ) = 59.1 miles/gallon

Mean of the sample (x⁻ ) = 59.5

The standard deviation of the Population = 2.89

mean of the sample (n) = 160

Step(ii):-

Test statistic

              [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

              [tex]Z = \frac{59.5-59.1 }{\frac{2.89}{\sqrt{160} } }[/tex]

              Z = 1.8099

Test statistic = 1.8099

Danny has an unknown number of used cars at his
business. He buys 327 more and figures out he now has a
total of 745. Write an equation to solve this scenario
using "c" for the unknown number of used cars. Then
solve the equation for c.

Answers

Answer:e

Step-by-step explanation:

Answer:

745 - 327= C      C = 418

Step-by-step explanation:

The distribution of the heights of students in a large class is roughly Normal. Moreover, the mean height is 68 inches, and approximately 95% of the heights are between 62 and 74inches. Thus, the standard deviation of the height distribution is approximately equal to

Answers

Answer:

Probably equal to 6 or 7.

Step-by-step explanation:

Explain what is the difference between the solutions to 2x=10 and 2x > 10

Answers

Answer:

See explanation below

Step-by-step explanation:

Explain what is the difference between the solutions to 2x=10 and 2x > 10

Given the equations;

2x  = 10

x = 10/2

x = 5

For the equation 2x > 10

x > 10/2

x > 5

The first equation has only one solution which is 5 while the second equation has infinite number of solutions since the values of x can take any value that is greater than 5

7. A bag of M&Ms dumped on the table and you court 91 blue pieces Approximately how many
M&ms do you expect to be in the entire bag based on the proportions of the entire class?

Answers

Answer:

i would think that there would be at least 100 m&m in the bag

Step-by-step explanation:

i might be wrong a hven't had m&m in about 10 years

Please look at picture

Answers

6x - 7 = 4x + 7
2x = 14
x = 7

The answer is 7

Add 34+(−212) using the number line. Select the location on the number line to plot the sum.

Answers

Answer:

Answer is explained below in the explanation section.

Step-by-step explanation:

Solution:

For this question, we need to have a number line, we can not make the number line here. As it will be very long. Instead, I have attached a number line from -11 to +11 for your understanding and explained it below. Please refer to the attachment below for the number line.

Number Line:

A number line is a line which contains all the numbers from negative infinity to positive infinity divided by a single number zero. It has two sides, left hand side and right hand side. A side left to zero contains all the negative numbers and a side right to 0 contains, all the positive numbers.

So,

We are asked to add 34 in (-212), we will get 178 but with the negative sign, and it will lie on the left hand side of the number line.

SO,

34 + (-212) = 34 - 212 = -178

Hence,

Our sum which is 178 will lie on the left hand side of the number line.

Becca has 115 students. Susana has 8 fewer students than Becca. Erika has 25 more students than Susana. How many students does Susana have? *

Answers

Answer:

Susana will have 107 students.

Step-by-step explanation:

Becca have students = 115

Susana has 8 fewer students than Becca.

We can write its as:

Becca has 115 students, so Susana will have 115-8 = 107 students

Because fewer means less than so, 8 less than 115 is 115-8

Erika has 25 more students than Susana.

We can write it as:

Susana has 107 students, so Erika will have: 107+25 = 132 students.

because more means we need to add 25 students with number of students in Susana class.

So, Susana will have 107 students.

The area of
of a rectangle is (14x^4 + 7x^2) cm²
and its breadth is 7x^2 cm. Find its length.​

Answers

Answer:

2x^1+1

Step-by-step explanation:

Area=L X W

which means that (14x^4+7x^2) needs to be divided by 7x^2

factorise(14x^4+7x^2) which gives 7x(2x^2+1)

divide 7x(2x^2+1) by 7x^2

gives 2x^2 +1

Answer:

The area of a rectangle is (14x^4 + 7x^2) cm²

and its breadth is 7x^2 cm.

it's length is :---

[tex] = \frac{(14{x}^{4} + 7 {x}^{2})}{7 {x}^{2} } \\ = \frac{7 {x}^{2}(2 {x}^{2} + 1) }{7 {x}^{2} } \\ = (2 {x}^{2} + 1) \: c {m}[/tex]

(2x^2+1) cm is the right answer.

1. Evaluate when y=3. 3y + 2 (2y+6)
33
27
3y+12

Answers

Answer:

33

Step-by-step explanation:

3(3) + 2 (2(3)+6)

=9 + 2 (12)

=9 + 24

=33

Find the measure of<1

Answers

the answer is 4
30x+20=20x+60
when you simplify you get 20x=30x-40
simplify again and you get -10x=-40
divide each side by -10 and you get
x=4

You leave a 10% tip on a $30 dinner bill. Find he amount of the tip and add it to
$30. How much is your total bill, including the tip? *

Answers

33 dollars. The tip is 3 dollars, and that to 30 dollar dinner bill and the whole bill will be $33.

so since you're only doing 10% of 30, you get 3

add 3 to 30 and you get 33

Pls help I need a good grade

Answers

Answer:

y=4/7x

Step-by-step explanation:

Graph the point (4,7) and (0,0) because x is pint and y is servings

The equation is y=4/7 x because the slope is 4/7 and it starts at the origin.

In a bag of Starbursts, 30% of the bag is pink. There are 90 pink starbursts in the bag. How many Starbursts are in the bag?

Answers

Answer:

27

Step-by-step explanation:

3/10 / 30% / .3

3        x

10        90            -use criss cross method so 3 and 90 and x times 10

270 =10x

27=x

you can also go on a calculator and type 90 times 0.3 and get the answer too

helppppppppppppppppppppp​

Answers

Answer:

$7.20

Step-by-step explanation:

60% of 4.5 = 2.7

4.5+2.7 = $7.2

Answer:

7.2

Step-by-step explanation:

So u do 60% of 4.5 and add ur answer to 4.5

What is the solution to this inequality?

6x−5>−29


​ x −4 ​

​ x>4

Answers

Answer:

x>4

Step-by-step explanation:

Answer: x>-4

Step-by-step explanation:

1. Add five to both sides [ this will cancel out the five ]

6x - 5 > -29

     +5    +5    

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

6x > -24

2. Divide by six on both sides

6x > -24

----    ------

6         6

WHICH EQUALS

x > -4      

Solve for x (round to the nearest thousandth)
to
FREE
HEALTH
le
110
CA
65
40°
х

Answers

Answer:

x = 79.799

Step-by-step explanation:

Apply trigonometric ratio formula to find x.

Thus, find the adjacent side of each triangle using 40° and 65° as reference angles respectively.

✔️Adjacent length of the triangle with reference angle 40°:

tan (40) = 110/adj

adj*tan(40) = 110

Adjacent length = 110/tan(40)

Adjacent length = 131.093 (nearest thousandth)

✔️Adjacent length of the triangle with reference angle 65°:

tan (65) = 110/adj

adj*tan(65) = 110

Adjacent length = 110/tan(65)

Adjacent length = 51.294 (nearest thousandth)

✔️Find x:

x = 131.093 - 51.294

x = 79.799

WORTH 20 POINTS PLS HELP!!!
On a windy morning, a hot air balloon starts rising and flying away from the top of a hill. The altitude, h, in feet, of the balloon x hours after starting its ascent from the hill, can be modeled by the function:
Part B: There is a positive and negative x intercept for this function. What is the positive x-intercept?
Explain what this x-intercept represents in the given situation.

h(x)=-16x2+64x+80

Answers

The X-Intercept would represent the landing point (bottom of the cliff) because all x intercepts have a y value of 0. In this case it would be 0 feet.

Solution:
h(x)= -16x^2-16x+80x+80
h(x)= -x(16x-16) +5(16x+16)
h(x)= (-x+5)(16x+16)
x intercepts = -1 and 5

Hope this helps. Let me know if you need me to explain further.

Here the positive intercept should be considered as the -1 and 5.

Calculation of the positive intercept:

Since X-Intercept shows the landing point i.e. bottom of the cliff since all x intercepts contains a y value of 0.

In this case it would be 0 feet.

So,

[tex]h(x)= -16x^2-16x+80x+80[/tex]

h(x)= -x(16x-16) +5(16x+16)

h(x)= (-x+5)(16x+16)

x intercepts = -1 and 5

Learn more about intercept here: https://brainly.com/question/15546484

Using the diagram below, determine how many miles the school is from the store.
Store
x miles
School
16
miles
20 miles
Museum
how miles the school is from the store

Answers

The school to the store is 4 miles because 20-16 is equal to 4
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