Find the equation of the line that is perpendicular to y = –3x + 1 and passes though the point (6, 3).
A) y =
1
3
x + 1
B) y = –
1
3
x + 1
C) y = 3x – 5
D) y = –3x – 5

Answers

Answer 1

Answer:

A. y=1/3x+1

Step-by-step explanation:

When finding a line that is perpendicular to another line, all you have to do is find the "opposite reciprocal" of the slope. In this case that means writing the slope as the fraction -3/1, and then flipping the fraction over (1/-3) and taking away the negative sign which gets you 1/3 for the slope of your new line. Now, all you have of your new equation is the slope. You need to take your new equation (y=1/3x+b) and plug in the x and y coordinates to that equation, and then solve for the last variable which is b. That solving process goes as follows:

3=1/3*6+b

3=2+b

1=b

now you can replace the b with 1 in your equation to get your final answer of y=1/3x+1


Related Questions

Kathy has $50 in her bank account right now. After three
days she had $35 left. What is her rate of change per day?
Think about if she is making or spending money. Just write
the number.

Answers

Answer:

$5

Step-by-step explanation:

How much is 2% of 3.50

Answers

Answer:

.07

Step-by-step explanation:

3.50 * 2% = .07

or

3.50 * .02 = .07

Please help me with this question I need the answer

Answers

Answer:

I think the answer is A

Step-by-step explanation:

Answer:

First of all A and B are Letters not numbers...

Answer: a-b

Step-by-step explanation:

The slope of a vertical line is:

Answers

Answer:

The slope of a line is change in Y / change in X. The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.

the slope of a virtual lin.e is change in Y / change in X

In​ 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87​% per year. ​a) Find the exponential growth function. ​b) Estimate the population of the city in 2018. ​c) When will the population of the city be ​8 million? ​d) Find the doubling time. ​a) The exponential growth function is ​P(t) nothing​, where t is in terms of the number of years since 2012 and​ P(t) is the population in millions. ​(Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the​ equation.)

Answers

Answer:

a) The exponential growth function

P(t) = 5,690,000(1.0287)^t

b) 6,742,868.7374 million

c) 12.04 years

d) 2439.0243902

Step-by-step explanation:

In​ 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87​% per year. ​

The formula for exponential growth is given as:

P(t) = Po( 1 + r) ^t

Where P = Population size after time t

Po = Initial population size

r = Growth rate in percentage

t= time in years

a) Find the exponential growth function.

P(t) = Population size after time t

Po = Initial population size = 5.69 million

r = Growth rate in percentage = 2.87% = 0.0287

t= time in years

The Exponential growth function

P(t) = 5,690,000(1 + 0.0287)^t

P(t) = 5,690,000(1.0287)^t

​b) Estimate the population of the city in 2018. ​

From 2012 to 2018 = 6 years

t = 6 years

Hence,

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^6

P(t) = 5,690,000(1.0287)^6

P(t) = 6,742,868.7374 million

c) When will the population of the city be ​8 million?

P(t) = 8,000,000

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1.0287)^t

Divide both sides by 5,690,000

8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000

= 1.4059753954 = 1.0287^t

Take logarithm of both sides

log 1.4059753954 = log 1.0287^t

Log 1.4059753954 =t Log 1.0287

t = Log 1.4059753954/Log 1.0287

t = 12.041740264

t = 12.04 years

​d) Find the doubling time.

The formula is given as 70/Growth rate

= 70/0.0287

= 2439.0243902

Is 9.78778777... a rational or irrational number?

Answers

The answer is - Irrational

The given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

The given decimal number is 9.78778777....

We need to check whether the given decimal number is a rational or irrational number.

What are rational and irrational numbers?

Rational numbers: Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

Irrational numbers: Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.

So, from the definition of rational and irrational numbers, we can say the given decimal number 9.78778777... is irrational.

Since the given decimal number 9.78778777... is non-terminating and non-recurring it is an irrational number.

To learn more about rational and irrational numbers visit:

https://brainly.com/question/3386568.

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One of the base angles of an isosceles triangle is 40°. Which is the triangle classification according to its
angles?
A. acute
B. right
C! obtuse
D. equiangular
Please help

Answers

Answer:

C. Obtuse

Step-by-step explanation:

exposed clout chaser

Answers

That’s interesting I would say
I’ve seen a few of these.

Pls help I need this done soon and I suck at math

Answers

Answer: 4.5

Hope this helps :)

Write a word description of the set.
{−6, −5, −4, −3, −2, −1}

Answers

The numbers in the brackets shown are from least to greatest. Negative six (being the lowest), negative five, negative four, negative three, negative two, negative one(being the greatest).
Hope this helps!

Simplify:
24 ÷ 4 × 3 - 6 × 5
A. -28
B. -12
C. 60
D. -20​

Answers

Answer:

Ameliorate retort, pertaining to reinstating interrogate is B., -12.

Step-by-step explanation:

Availing albeit maneuvering the Order of Operations (OO), the contiguous albeit proximate expression may evaluate as the preeminent imminent:

Groups: Not identified.Exponents: Not identified. Multiplication/ Division: 6 · 3 - 6 · 5 ⇒ Addition/ Subtraction: 18 - 30 = -12

- Thus, the ameliorate retort, reinstating interrogate is the aggregate, -12.

*Hope this helps.

Express 0.495 in standard form

Answers

Answer:

4.95 x 10^-1

Step-by-step explanation:

4.95 x 10^-1

4.95 x 10^-1 is your answer.

Which statement best represents the distance on a number line between -14 and -5?

Answers

Answer:

C my dude. have a merry christmassss

Answer:

A

Step-by-step explanation:

Both are negative, and largest is always first.

Which function represents the sequence -5.5, -4.75 -4,-3.25... ?​

Answers

The answer I think should be
C main

Can someone explain to me how to get the answer:

-3 |2d| = 12

Answers

-3×2d=12

-6d=12

d=12÷(-6)

then d= -2

Hope this helps.

PLEASE ANSWER THIS ASAP !!!!!!

Answers

Answer:

y = - x

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line

m = [tex]\frac{-2=2}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , thus

y = - x ← equation of line

which model represents 1/3​

Answers

Answer:2nd one because 2/6=1/3

Step-by-step explanation:

Evaluate the following expression when n = 6.
|n - 6| - |5 - n|

Answers

Answer:

-1

Step-by-step explanation:

1. Substitute n with 6 because n=6

2. Then you simply solve both sides so (6-6)-(5-6) because n=6

3.so then you get the absolute value of 0 subtracted by the absolute values of -1

4. So because all absolute values change it to positive you get 0-1 instead of 0- - 1

5. So the final answer is -1

Sorry if this was confusing, I’m really bad at explaining. :)

Answer:

|n-6|-|5-n|

=|6-6|-|5-6|

=|0|-|-1|

=0-1

=-1

What is the discriminate?

Answers

so it’s basically asking for the difference

Please help due soon!

Answers

H = 2sqrt2
D = 6sqrt3

In a 45,45,90 triangle the hypotenuse is (x)sqrt2 while the side lengths are equivalent being a single value x. Therefore, when given the hypotenuse and solving for the leg, divide 4 by sqrt2 to get 4sqrt2/2 which simplifies to 2sqrt2 when the denominator and numerator cancel.

In a 30,60,90 triangle the short leg x is across from the 30 degree angle meaning the angle across from the 60 degree angle is x times the sqrt of 3. Therefore the long leg is 6sqrt3

how do we find the value of y when x = 0​

Answers

Answer:

both variables are just 0-

How many solutions does 46x– 23 = 46x + 23 have

Answers

Answer:

no solution

Step-by-step explanation:

Let's first try to solve this.

Notice that there is a 46x term on both sides, so we can subtract both sides by 46x, leaving us with:

-23 = 23

Well... this is a false statement: -23 does not equal 23.

Thus, this as no solution.

Answer:

No solutions found

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

46*x - 23 - (46*x + 23) = 0

Equations that are never true

Solve : -46  =  0

This equation has no solution.

A non-zero constant never equals zero.

Ryan and his brother, Russell, made photo frames for their grandma's birthday. They used shells they collected from the beach near her house. Ryan glued 9 white shells and 15 orange shells to the border of his frame. Russell glued 8 white shells and 10 orange shells to the border of his frame. Did the two frames have the same ratio of white shells to orange shells?

Answers

Answer: No. The two frames does not have the same ratio of white shells to orange shells.

Step-by-step explanation:

Ryan glued 9 white shells and 15 orange shells to the border of his frame. This will give us a fraction of:

9/15 = 3/5

The ratio is 3:5

Russell glued 8 white shells and 10 orange shells to the border of his frame. This will give us a fraction of:

= 8/10 = 4/5

The ratio will be 4:5.

Therefore, the two frames does not have the same ratio of white shells to orange shells.

express the scientific notation:4830000000 with all formula​

Answers

Answer:

4.83 * 10^9

Step-by-step explanation:

Here, we want to express the given number in scientific notation

What we have to do here is to place the decimal number at the back of the first non zero number

The first non zero number is 4

So

let us count the number of digits after the first non zero number

That will be 9

So we make this the power of 10

And our answer will be;

4.83 *10^9

Expand the expression 2(y + 5x)

Answers

Answer:

2y+10x

Step-by-step explanation:

distribute the 2 into the rest of the equation

Graph the line that passes through the points (3,-4) and (3,-1) and determine
the equation of the line.

Answers

Answer:

The equation of a line:

x = 3

The graph of the line is attached below.

Step-by-step explanation:

Given the points

(3, -4)(3, -1)

Finding the slope between (3,-4) and (3,-1)

(x₁, y₁) = (3,-4)

(x₂, y₂) = (3, -1)

Using the slope formula

m = y₂-y₁ / x₂-x₁

    = -1-(-4)) / 3 - 3

    = -1 + 4 / 0

m  = ∞

The slope of the line is undefined, then, by definition, the line would be a vertical line.

As the line that passes through the points (3,-4) and (3,-1)

For a vertical line, the value of x  is the same for each and every value of  y.

Thus, the equation of a line:

x = 3

The graph of the line is attached below.

Find the inequality represented by the graph - khan academy
PLEASE HELP

Answers

Answer:

y ≤ x - 1

Step-by-step explanation:

The slope is 1 (every unit for x, there is a unit for y, rise/run is 1/1). The y-intercept is -1, because the line crosses the y-axis at -1. The graph is shaded below the line, and the line is solid, meaning that y is less than or equal to x -1, or y x - 1.

0.000603 in scientific notation

Answers

6.03 x 10^-4 That is 6.03 times 10 to the negative 4 power.

Huilan's age is two times Thomas's age. The sum of their ages is 18. What is Thomas's age?

Answers

Answer:

Huilan is 12 and Thomas is 6

Step-by-step explanation:

Answer:

thomas is 6 years old

Step-by-step explanation:

if he is 6. 6x2=12 +6 =18

Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points. What is the minimum number of points that Madeline needs to earn?

F. x ≥ 96
G. 96 ≥ x
H. x ≤ 16
J. 16 ≤ x

Answers

I think the answer would be letter H

The solution is : she needs at least 16 points.

x + 64 ≥ 80

x ≥ 16

What is inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

Given

Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points.

so,

Total = 80 (at least)

accumulated = 64

Required

Express as an inequality

In inequalities, at least means ≥

So, the expression is:

Where x represents the additional points

x + 64 ≥ 80

Solve for x

x ≥ 16

Hence, she needs at least 16 points.

To learn more on inequality click:

brainly.com/question/24853349

#SPJ3

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