Consider the following equation

3x + 9y = 8y - 2

Step 2 of 2: Find the equation of the line which passes through the point (13,5) and is perpendicular to the given line. Express your answer in
slope-intercept form. Simplify your answer.

Answers

Answer 1

Answer:

The perpendicular line is:

y = 1/3  x + 2/3

Step-by-step explanation:

The given equation can be reduced to its slope-intercept form as shown below:

3x + 9y = 8y - 2

subtract 8 y from both sides

3 x + y = -2

subtract 3 x from both sides

y = - 3 x -2

therefore we know that the slope of this line is -3, and then, a perpendicular line to it must have slope given by the "opposite of the reciprocal" of this slope. That is, the slope of any perpendicular line to this one must be: 1/3

We use this slope to find the equation of the line passing through the point (13. 5)

y = 1/3 x + b

passing through (13, 5) means:

5 = 1/3 (13) + b

therefore, we can find b from the above equation

b = 5 - 13/3 = 15/3 - 13/3 = 2/3

Then the equation of this perpendicular line is:

y = 1/3  x + 2/3


Related Questions

whether you are writing a radio, TV, movie, or add script, it is a good idea to follow the correct _____.
a) format
b) theme
c) narration
d) imagined
e) visual ​

Answers

Answer:

a) format

Step-by-step explanation:

whether you are writing a radio, TV, movie, or add script, it is a good idea to follow the correct Format.

A number
consisting of
two digits whose sum is 9.
If three times the number is
equal to eight times the
number formed by interchanging
the digits, find the number.​

Answers

Answer:

let the unit digit be x

and the tens digit be y

so x+y = 9 ---> y = 9-x

the number is 10y+x

the number reversed is 10x + y

3(10y+x) = 8(10x + y)

30y + 3x = 80x + 8y

22y = 77x

2y = 7x

2(9-x) = 7x

18 - 2x = 7x

18=9x

x=2

y=7

the number is 72

check:

number is 72

reverse is 27

is 3(72) = 8(27)

.) 1 remote controlled cars cost $27. Fill in the blanks
of the table.

Answers

Answer:

1:27

2:54

3:81

4:108

5:135

Step-by-step explanation:

If this answer helped you then please consider liking this and marking it as brainliest :)

One year ago, Lindsey deposited $250 into a savings
account. Her balance
deposited $250 into
now $253, Two years ago, Jenn
savings account Her balance is
now $257.50. Which account has the greater simple
interest rate? Explain,

Answers

Answer:

Jenns account has the greater simple interest rate.

Step-by-step explanation:

The formula for simple interest is:

A = P * ( 1 + r * t )

Where A is the final amount after investment, P is the initial amount, r is the rate of interest and t is the time periods.

For Lindsey:

253 = 250 * ( 1 + r * t )

Solve for r

r = ( 253/250 ) - 1 = 0.012

Lindsey simple interest was 1.2% annually

For Jenn:

257.50 = 250 * ( 1 + r * 2 )

r = ( 257.50/250 ) - 1 )/2 = 0.015

 

Jenn simple interest was 1.5% annually  

Therefore Jenns account has the highest simple interest rate.

Answer:

Lindsay’s interest is $3 for one year. Using the formula for interest, I = prt, Lindsey’s money is earning at a rate of 1.2%. Jenn has earned $3.75 for one year. Her money is earning at a rate of 1.5%, which is a higher interest rate.

Step-by-step explanation:

Sample response :)

What is 2/8 as a decimal and percent

Answers

Answer:

0.25 is a decimal and 25/100 or 25% is the percentage for 2/8.

Step-by-step explanation:

The result is: 0.25 and 25% is 2/8 as a decimal and percent.

Here, we have,

given that,

the fraction is:  2/8

now, we have to write as a decimal and percent.

so, we get,

2/8

[ dividing both numerator and denominator by 2 ]

= 1/4

= 0.25

so, we get, 0.25 is a decimal.

now, we have,

0.25 = 25/100 = 25%

so, we have, 25/100 or 25% is the percentage for 2/8.

To learn more on percentage click:

brainly.com/question/13450942

#SPJ6

Can y’all help me on question 4?! I would really appreciate it have a good day!

Answers

Answer:

15:2

Step-by-step explanation:

If you take 45 / 6 you will end up with 7.5

You can't have a ratio with a fraction. So to get a whole number you multiply 7.5 by 2 to get a full number. Therefore 15:2

9514 1404 393

Answer:

  D.  Volcanic Gray

Step-by-step explanation:

The ratio of paint used is ...

   black : white = (4 gal) : (1/2 gal) = 8 : 1  . . . . . .  multiply given numbers by 2

This matches the ratio in the table for Volcanic Gray.

WILL GIVE BRAINLIEST
In which set do all of the values make the inequality 2x -1 < 10 true?
A. (10,15,20)
B. (5,7,9)
C. (4,6,8)
D. (2,3,4)

Answers

Answer:

D

Step-by-step explanation:

i just know

30 kilograms of beans costs $5. How many kilograms of beans can you buy for $20?

Answers

Answer:

120 kg

the kilograms of beans which can by for $20 are

30*(20/5) = 30.4 = 120 (kg)

Answer: 120 kilograms

Step-by-step explanation:

We can buy 30 kilograms of beans for $5 dollars. We need to find how many kilograms of beans we can buy for $20.

The first step is to divide 20 by 5. Then, using the quotient, we can multiply it by 30 to see how many kilograms of beans we can buy for $20.

20 ÷ 5 = 4.

4 x 30 = 120.

Therefore, we can buy 120 kilograms of beans for $20.

Cool beans ;)

Mai biked 5 1/4 miles today, and Noah biked 2 1/2 miles. How many times the length of Noah’s bike ride was Mai’s bike ride?

Answers

Answer:

The length of Mai's bike ride was 2.1 times the length of Noah's ride.

Step-by-step explanation:

Mai biked 5 1/4 miles today

So he biked, in miles:

[tex]5 + \frac{1}{4} = \frac{5*4 + 1}{4} = \frac{20+1}{4} = \frac{21}{4}[/tex]

Noah biked 2 1/2 miles.

So, in miles, he biked:

[tex]2 + \frac{1}{2} = \frac{2*2 + 1}{2} = \frac{4+1}{2} = \frac{5}{2}[/tex]

How many times the length of Noah’s bike ride was Mai’s bike ride?

We divide the Mai distance by Noah's distance. In a division of fractions, we multiply the numerator by the inverse of the denominator. So

[tex]\frac{\frac{21}{4}}{\frac{5}{2}} = \frac{21}{4} \times {2}{5} = \frac{21*1}{2*5} = \frac{21}{10} = 2.1[/tex]

The length of Mai's bike ride was 2.1 times the length of Noah's ride.

What is Irrational Root Theorem? Explain and give examples.

Answers

Answer: if the irrational sum of a plus the square root of b is the root of a polynomial with rational coefficients, then a minus the square root of b, which is also an irrational number, is also a root of that polynomial.

Step-by-step explanation: Look it up

Camila discovers that she has a leak in her front tire after leg 3. How far did she bike before she discovered the leak?
20.93 miles
32.31 miles
20.92 miles
41.85 miles

Answers

Answer:

Step-by-step explanation:


I need help with this If right

Answers

Answer:

14° I think sorry if its wrong this was quick one

Answer:

[tex]10^0[/tex]

Step-by-step explanation:

the sum of all angles should add to a straight line, a straight line has an angle of 180 so add 92 and 78 subtracting the total from 180

[tex]92+78=170\\180-170=10\\answer =10^0[/tex]

Can someone please help me thank you

Answers

Answer:

whats the letter x number

Step-by-step explanation:

A number x increased by 6, and then sum is doubled

Answers

The equation would be 2(x+6)

Hope this helps

Have a great day/night

Feel free to ask any questions

The triangle below lie on the same line. Find the horizontal distance of the smaller triangle.

Answers

Answer: The answer is 2

Step-by-step explanation: I had the same question and I got the answer right

?????????????????????

Answers

Answer:

0 and 4

Step-by-step explanation:

How many digits are there in the​ Hindu-Arabic form of 44,350•1019​?

Answers

Answer:

25 digits

Step-by-step explanation:

add 5 digits in the 44,350 then add 20 digits from the 10^19 = 25 digits

Hindu-Arabic numerals are a decimal, or base-ten, place-value number system with the ten digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 as fundamental building blocks. Each digit in a number has a place value depending on its position.

what is the difference between multiplying fractions and adding/subtracting fractions? complete sentances please

Answers

Answer:

See Explanation!

Step-by-step explanation:

When multiplying fractions, you do not need a common denominator, and the entire fraction gets multiplied across, however when adding or subtracting fractions, you must have a common denominator, and then only compute the numerator, as the bases are already the same

41
Which of the following is the first step in estimating the line of best fit on a scatter plot graph?


Place two x's centered in each half of the data points


Plotting the data on the graph


Circle the data points


Divide the data vertically

Answers

Answer:

place two X's centered in each half of the data points


If f(0) = 2 sin 0 - cos 20, find f(pi/6)

Answers

Answer: 1/2

Step-by-step explanation:

f(Ф) = 2sin(Ф) - cos(2Ф)

f(pi/6) = 2sin(pi/6) - cos(pi/3)

Use the pi circle or a calculator

f(pi/6) = 2(1/2) - 1/2 = 1/2

Pleaseeeeeeeee answer if you do your the best at life!!!!!

Answers

x+(-8)= -12

x-8= -12

x= -12+8

x=-4

-3 + x = 10

x=10+3

x=13

-2+x= -5

x=-5+2

x=-3

Answer:

x+(-8)= -12

x-8= -12

x= -12+8

x=-4

-3 + x = 10

x=10+3

x=13

-2+x= -5

x=-5+2

x=-3

Step-by-step explanation:


Using the compound interest formula, the "n" is what value when compounded annually?

Answers

Answer:

n=1

Step-by-step explanation:

N is the number of times per year

Annually would be one time per year so n =1

Answer:

If interest is compounded yearly, then n = 1; if semi-annually, then n = 2; quarterly, then n = 4; monthly, then n = 12; weekly, then n = 52; daily, then n = 365; and so forth, regardless of the number of years involved. Also, "t" must be expressed in years, because interest rates are expressed that way.

Step-by-step explanation:

It's a snip-it from the web, but it worked for me.

If f(x) = 2x - 6 and g(x) = x3, what is (g x f) (6)

Answers

Answer:

36x² - 108x

Step-by-step explanation:

(g x f) (6)

((3x) x (2x - 6)) (6)

6x² - 18x (6)

36x² - 108x

The Commutative Property for addition and multiplication
means you can switch the order of the numbers and still get
the same answer.
8+ 1 = 9 and 1 + 8 = 9
9*1 = 9 and 1 * 9 = 9
In which expression below is the Commutative
Property possible?
С
B
A
s/2
8-f
3.w

Answers

C: 3 • W

The communitive property works for multiplication and addition and this one is multiplication

Answer:

3*W

Step-by-step explanation:

3*W = 3W

Or you can switch them around and still have the same answer

W*3= 3W

7)
2 1
Please help giving Brainly

Answers

Answer:

You should use MathPapa.

Step-by-step explanation:

Select the correct answer.
What is the fractional form of 0.02?
A.
2
99
B.
1
11
2
100
C.
O
D.
12
Reset
Next

Answers

Answer:

the answer is B

Answer:

2/100

or 1/50

is your answer

Step-by-step explanation:

Q. What is the fractional form of 0.02?

→ 0.02 = 002/100 = 2/100

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

It’s given that Y bisects XZ

-So I just really need the answers for the blanks. If you don’t know the answer that’s fine :)!

Answers

XY≅YZ ; definition of segment bisector

Reflexive Property

XWY ; ZWY ; SAS

CPCTC

I'm pretty sure this is right!!

Please help me with this!!

Answers

Answer:

A

Step-by-step explanation:

when there's a negative number as an exponent you flip the base number

so it would be 1/(10^3)

10^3= 1000

so it's 1/1000

What is (3x^3)^3 in factored form? Help

Answers

Answer:

This can't really be factored, but it can be expanded slightly.

(3x³)³ = 27x⁹

I need help with this points if right

Answers

Answer:

A

Step-by-step explanation:

90-49=41

41-3=38

49+(38+3)=90

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