Please help me!! Find the equation of the line that is perpendicular to y=1/6x+3 and contains the point (-3,23).

Please Help Me!! Find The Equation Of The Line That Is Perpendicular To Y=1/6x+3 And Contains The Point

Answers

Answer 1

Answer:

[tex]\displaystyle y = -6x + 5[/tex]

Where ? = -6.

Step-by-step explanation:

We want to find the equation of a line that is perpendicular to:

[tex]\displaystyle y = \frac{1}{6} x + 3[/tex]

And contains the point (-3, 23).

Recall that the slopes of perpendicular lines are negative reciprocals of each other.

The negative reciprocal of 1/6 is -6. Hence, the slope of the perpendicular line is -6.

We are also given that it passes through the point (-3, 23). Since we know the slope and a point, we can consider using the point-slope form:

[tex]\displaystyle y - y_1 = m(x - x_1)[/tex]

Substitute:

[tex]\displaystyle y - (23) = -6(x - (-3))[/tex]

Simplify:

[tex]\displaystyle y - 23 = -6 (x+3)[/tex]

Distribute:

[tex]\displaystyle y - 23 = -6x - 18[/tex]

And add. Hence:

[tex]\displaystyle y = -6x + 5[/tex]

In conclusion, our equation is:

[tex]\displaystyle y = -6x + 5[/tex]

Where ? = -6.


Related Questions

Find the reciprocal of 1 1/6​

Answers

Answer:

So the reciprocal of 6 is 1/6 because 6 = 6/1 and 1/6 is the inverse of 6/1.

Step-by-step explanation:

here is a sequence of number 7, 5 ,3 ,1, - 1 find the next term in the sequence​

Answers

Answer:

-3

Step-by-step explanation:

in every term we subtract 2 so

7-2=5

so in every answer subtract 2

5-2=3

3-2=1

1-2=-1

-1-2=-3

Answer:

- 3

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

5 - 7 = 3 - 5 = 1 - 3 = - 1 - 1 = - 2

Thus subtracting 2 from the last term shown gives the next term

- 1 - 2 = - 3

27(1-x)(x^2+x+1)+81x(x-1)

Answers

Step-by-step explanation:

hope this may help you. have a nice day.

Hey! Please help i will give brainlest!!·

Answers

Answer:

7⅔ pounds to be shared 1⅓ per container.

For a clearer and swift understanding

Change them from Mixed NUMBERS to simple fractions

7⅔ = 23/3

1⅓ = 4/3

Now

We need to Fill 23/3 pounds of walnuts by 4/3 each into a container

Simply divide 23/3 by 4/3 to know how many walnuts that would enter

23/3 ÷ 4/3

23/3 x 3/4 = 23/4.

SO 23/4 CONTAINERS WOULD BE FILLED.

23/4 containers when converted to mixed numbers is

5¾.

This is our answer.

But Looking at the Question

5¾ has been broken to two fractions.

The Number that'll fill the blank space is 5.

Why? 5 + 9/12 = 23/4 which is the answer we got initially.

ANSWER = 5

Hope it helps tho.

I'm open to questions if there's any!

Have a great day!

Help plz

Find (f - g) (x)
f(x) = 2x^2 – 2 and g(x) = 4x + 1
6x2

Answers

Answer:

(f - g) (x) = 2x^2 - 4x - 3

Step-by-step explanation:

(f - g) (x) = f(x) - g(x)

(f - g) (x) = 2x^2 - 2 - (4x + 1)

(f - g) (x) = 2x^2 - 2 - 4x - 1

(f - g) (x) = 2x^2 - 4x - 3

Number 22 is the one I need help with plsss and ASAP

Answers

Answer:

[tex] \frac{x - 5}{3} \geqslant 2.8 \\ \\3 \times ( \frac{x - 5}{3} ) \geqslant \frac{28}{10} \times 3 \\ \\ \\ x - 5 \geqslant \frac{84}{10} \\ \frac{84}{10} = 8.4 \\ \\ x - 5 \geqslant 8.4 \\ \\ x \geqslant 13.4[/tex]

Solve for c.

9 = 2(c + 3) + 1

c =

Answers

Answer:

c = 1

Step-by-step explanation:

Given

9 = 2(c + 3) + 1 ← distribute parenthesis and simplify right side

9 = 2c + 6 + 1

9 = 2c + 7 ( subtract 7 from both sides )

2 = 2c ( divide both sides by 2 )

1 = c

Answer:

[tex]c = 1[/tex]

Step-by-step explanation:

[tex]9 = 2(c + 3) + 1 \\ 9 = 2c + 6 + 1 \\ 9 = 2c + 7 \\ 9 - 7 = 2c \\ 2 = 2c \\ c = \frac{2}{2} \\ c = 1[/tex]

Hope it is helpful.....

Let w 1-5 and z=2+ 4i, Find z+w

Answers

Step-by-step explanation:

w+z=1-5+2+4¡

w+z=-2+4¡

and if you mean w= 1-5¡ , z= 2+4¡

z+w= 1-5¡+2+4¡

z+w= 3-¡

Find the distance between the points (2,1) and (1,-1/3)

Answers

Answer:

[tex] \boxed{d = \frac{5}{3}}[/tex]

Step-by-step explanation:

[tex]given \: points \: (2,1) \: and \: (1, - \frac{1}{3}): \\ d \: = \sqrt{ (x _{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} } \\ d \: = \sqrt{ (1 - 2)^{2} +( - \frac{1}{3} - 1)^{2} } \\ d \: = \sqrt{ ( - 1)^{2} +( - \frac{4}{3})^{2} } \\d \: = \sqrt{ (1) +( \frac{16}{9}) } \\d \: = \sqrt{ 1 + \frac{16}{9} } \\d \: = \sqrt{ \frac{9}{9} + \frac{16}{9} } \\d \: = \sqrt{ \frac{25}{9} }\\d \: = \frac{\sqrt{ 25 }}{\sqrt{ 9 }} \\d \: = \frac{ 5}{3} [/tex]

Given the value of B in the attached photo ,
1. Find the cofactor of matrix B
2. Hence, find the inverse of matrix B​

Answers

Answer:

answer is in attachment

The GCF of two numbers is 3.

Their LCM of the two numbers is less than 20.

Which could not be the two numbers?

Answers

Answer:

Step-by-step explanation:

Let say a and b the 2 natural integers with 0 < a< b.

Since a*b=GCF(a,b)*LCM(a,b)

a*b < 3*20=60

[tex]\begin{array}{c|c|c|c|c|c}a&b&a*b&GCF&LCM&GCF*LCM\\---&---&---&---&---&---\\3&6&18&3&6&18\\3&9&27&3&9&27\\3&12&36&3&12&36\\3&15&45&3&15&45\\3&18&54&3&18&54\\6&9&54&3&18&54\\---&---&---&---&---&---\\\end {array}[/tex]

Find the output, y, when the input, s, is – 7.
y =
y
1
8+
6+
4+
2+

CC
-8
-6
-4
-2
2
4
6
8
-2-
M
-4-
-6+
-8

Answers

Answer:

school:

cleaned class rooms and background

cooking equipment are laboratory tested of being germs free and also bacteria free

community: clean environment

Step-by-step explanation:

(-57) x (-19) + 57
Can you explain this answer as Distributive Property? ☺️​

Answers

Answer:

[tex]1140[/tex]

Step-by-step explanation:

[tex](−57)×(−19)+57 \\ =1083+57 \\ =1140[/tex]

Hope it is helpful....

Answer:

1140

Step-by-step explanation:

1. you first need to distribute -57 to -19 as they are being multiplied

(-57) · (-19) + 57

(1083) + 57

2. now you remove the parenthesis and add the liked terms

1083 + 57 = 1140

hope this helps! if you have any questions, let me know!

ten times the sum of half a number and six is eight

Answers

Answer: x=585

Step-by-step explanation:

thats the answer


Solve 1/3(2x - y) = z for x

PLEASE HELP SHOW WORK!!!!

Answers

Answer:

[tex] \frac{1}{3} (2x - y) = z \\ \frac{2}{3} x - \frac{y}{3} = z \\ \frac{2}{3} x = z + \frac{y}{3} \\ \frac{2}{3} x = \frac{3z + y}{3} \\ x = \frac{3z + y}{3} \div \frac{2}{3} \\ x = \frac{3z + y}{3} \times \frac{3}{2} = \frac{3(3z + y)}{6} \\ \\ x = \frac{3z + y}{2} \\ \\ x = \frac{3z}{2} + \frac{y}{2} [/tex]

I hope I helped you^_^

Translate to an algebraic expression.
29 more than n

Answers

Answer: n+29
20 letters…

Its midpoint i need help

Answers

Answer:

(3.5, 4.8)

Step-by-step explanation:

2.6 - 1.7 = 0.9, 2.6 + 0.9 = 3.5

3 - 1.2 = 1.8, 3 + 1.8 = 4.8

Answer:

[tex]thank \: you[/tex]

a square + 7 a + 12 =A + 4 ​

Answers

Step-by-step explanation:

[tex] {a}^{2} + 7a + 12 = a + 4 \\ {a}^{2} + 7a - a - 4 + 12 = 0 \\ {a}^{2} + 6a + 8 = 0 \\ {a}^{2} + 4a + 2a + 8 = 0 \\ a(a + 4) + 2(a + 4) = 0 \\ (a + 4)(a + 2) = 0 \\ a + 4 = 0 \: or \: a + 2 = 0 \\ a = - 4 \: or \: a = - 2[/tex]

Answer:

a = -4 or a = -2

Step-by-step explanation:

a² + 7a + 12 = a + 4

=> a² + 7a - a + 12 - 4 = 0

=> a² + 6a + 8 = 0

=> a² + 2a + 4a + 8 = 0

=> a(a + 2) + 4(a + 2) = 0

=> (a + 4)(a + 2) = 0

=> a = -4 or a = -2

Hi! Please see the photo, I could really use some help!

Answers

x- intercepts is when x equals 0 and y- intercepts is when y equals 0. So, if the x is the time and the y is the height, the coordinates for the x- intercept is (0,3), and the y- intercept (7,0)
X intercept = 0,3 and y intercept =7,0

X/6 = 8 what is the answer

Answers

Answer:

x = 48

Step-by-step explanation:

Multiply both sides by 6

x = 6 * 8

x = 48

Check:

48/6 = 8

8 = 8

Answer:

[tex] \frac{x}{6} = 8 \\ \\ x = 8 \times 6 \\ \\ x = 48[/tex]

1-16 Please helppppp

Answers

Ok fort first second third four ten nine and eight

Convert 8x - 6y + 12 = 0 into Slope-Intercept Form.

Answers

Answer:

y = [tex]\frac{4}{3}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

8x - 6y + 12 = 0 ( subtract 8x + 12 from both sides )

- 6y = - 8x - 12 ( divide terms by - 6

y = [tex]\frac{-8}{-6}[/tex] x + 2 , that is

y = [tex]\frac{4}{3}[/tex] x + 2 ← in slope- intercept form

Four out of every 5 doctors use computers.
Write the ratio of doctors who use computers to all doctors.
If 4 out of 5 doctors use computers, how many doctors out of 5 do not use computers?
Write the ratio of doctors who use computers to those who do not.

Answers

Answer:

80%

Step-by-step explanation:

in other words 80 percent of Doctors use computers  and 20% do not use computers.


help me senpai...ahhhhh...plz.... someone​

Answers

Answer:

The answer is 3/3 or 1

Step-by-step explanation:

I. If pqr = 1, then 1*1*1 = 1 , so p = 1, q = 1 and r = 1

           When [tex]1^{-1}[/tex] = 1

         [tex]\frac{1}{1 + 1 + 1}[/tex] + [tex]\frac{1}{1 + 1 + 1}[/tex] + [tex]\frac{1}{1 + 1 + 1}[/tex]

         = [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{3}[/tex] + [tex]\frac{1}{3}[/tex]

         = [tex]\frac{3}{3}[/tex]

         = 1

Hope that help :D

Please help me solve this.

Answers

Step-by-step explanation:

Steps are in the picture above.

Note:if you need to ask any question please let me know.

Evaluate the expression x^2 - y^2, if x = -3, and y= 2

Answers

[tex]\\ \rm\longmapsto x^2-y^2[/tex]

[tex]\\ \rm\longmapsto (-3)^2-(2)^2[/tex]

[tex]\\ \rm\longmapsto 9-4[/tex]

[tex]\\ \rm\longmapsto 5[/tex]

2.8 2.08 and 2.008 in order

Answers

Answer:

2.008, 2.08, 2.8

Step-by-step explanation:

You basically have to go in order of the tens, hundreths, and thousandths place. So first is the thousandths place which is the third digit after the decimal. That would be 2.008, then the one that has a hundredths place is 2.08, and then the tenths place with the 2.8

2.008, 2.08, 2.8


Thousandths are least than the hundredths and the hundredths are least than the tenths. Just remember that!

Simplify 0.2(4.9x + 6) + 0.8(2 - 3x)

Answers

First distribute and then combine like terms, answer: -1.42x+2.8

The simplified expression is -1.42x + 2.8.

How to Simplify 0.2(4.9x + 6) + 0.8(2 - 3x)

Sure, let's simplify the expression step by step:

1. Distribute the coefficients to the terms inside the parentheses:

0.2 * 4.9x + 0.2 * 6 + 0.8 * 2 - 0.8 * 3x

2. Simplify each term:

0.98x + 1.2 + 1.6 - 2.4x

3. Combine like terms:

(0.98x - 2.4x) + (1.2 + 1.6)

-1.42x + 2.8

So, the simplified expression is -1.42x + 2.8.

Learn more about expression at https://brainly.com/question/723406

#SPJ3

Avery has three times as much money as Jackie. Jackie has $6 less than Samantha. Together they have $56. How much money does each have?
HEEEEELP

Answers

The money belongs to Jackie, Avery, and Samantha is $10, $30, and $16 respectively.

Given that,

Avery has three times as Jackie.

Also, Jackie has $6 lower than Samantha.

Together they have $56.

Based on the above information

Let us assume the Jackie be x

So, Avery should be 3x

Samantha should be x + 6

So, the equation should be

x + 3x + x + 6 = $56

5x = $56 - $6

5x = $50

x = $10

So, Jackie has $10

Avery has $30

And, Samantha has $16

Therefore we can conclude that the money belongs to Jackie, Avery, and Samantha is $10, $30, and $16 respectively.

Learn more about the money here: brainly.com/question/10943652

Find the sum of the finite sequence: 4, 2, 0, –2, – 4.

Answers

Answer:

The answer to this question is0

The answer you’re looking for is 0
Other Questions
4. 1 less than twice the square of a number Miguel Sebring took out a loan for $5,000 at 9.5% exact interest for 90 days. How much interest will Miguel pay? plzz can anyone solve thisplzzzz guys tomorrow is my exam ..plzz Me ayudarias a resolver los problemas :c What kind of artifact is the Blue Heron Decoy? I need the perimeter of this triangle. Round to the nearest tenth. Quickly please What is the absolute value of 6.4? Please help! This is due soon!!! Write a function that has roots at x=2,6. what happens in the beginning, middle and end of pochahontas by joseph bruchac? What is the verb in Hints of oregano, garlic, and cinnamon were detected in the air. Write 3.7777... As a mixed number help me plz now plz help me asap What is an equation of the line that passes through the points (-5, -8)(5,8) and (-4, -6)(4,6)? In Act I, Scene v, who is angered by Romeo's presence at the Capulets' party?A. Lord MontagueoB. Lord CapuletC. TybaltD. JulietSUBMIT Explain the meaning of health in Broader aspect. Using the following information: The bank statement balance is $5,086. The cash account balance is $5,263. Outstanding checks amounted to $894. Deposits in transit are $1,007. The bank service charge is $55. A check for $51 for supplies was recorded as $42 in the ledger. Prepare a bank reconciliation for Candace Co. for May 31. (a) Write these in order of size starting with the smallest 0.8 78% 0.71 Please find the value of x Jorge Is there a 15% tip for the waitress. The cost, C, of his dinner is $45.50. Use the equation below to determine the total,t, of Jorges dinner plus the tip.A. $728B. $113.75C. $52.33D. $6.83 2. Graph the set of points. Which model is most appropriate for the set? (6, 1), (3, 2), (1, 4), (2, 7)A. linearB. exponentialC. quadratic