Write an equation in standard form of the line that passes through the given point and the given slope. (-9, -4); m = -1/3

Answers

Answer 1
Answer:

First, we must determine b using slope-intercept form*, the given point, and the given slope.

[tex]-4 = -\frac{1}{3}(-9) + b\\\\-4 = -3 + b\\\\-1 = b[/tex]

Second, we need to set up the equation of the line in slope-intercept form.

[tex]y = -\frac{1}{3}x - 1[/tex]

Third, we convert the above equation to STANDARD FORM**.

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

We now have our equation: [tex]\frac{1}{3}x - y = -1[/tex]

*Slope-intercept form: y = mx + b

**Standard form: ax + by = c


Related Questions

umm i dont get none of this to be honest

Answers

Are you talking about brainly? If so, Brainly is an app/website where you can ask questions about your homework/ school work. When you first start on brainly you get 20 points? And each question you ask costs points. To get more points, you have to answer other people’s questions. Hope this helped!

What is the y-intercept of the function y = 3x + 33 ?

Answers

Answer:

33

Step-by-step explanation:

Answer:

it is 33 because you start off at 0 with 33

Step-by-step explanation:

What is the opposite of each number?

Drag the answer into the box to match each number.

Answers

Answer: If it has a negative sign then drag it to one that doesn't have one and vice-versa

Step-by-step explanation:

so 0.005 would be -0.005

Answer:

the opposite of 0.005 is -0.005

the opposite of 1/2 is -1/2

the opposite of 0 is 0

the opposite of -2 is 2

Step-by-step explanation:

A train to New York city leaves a station every 7 minutes. Another train to Boston leaves the station every 6 minutes. Suppose it is 6:30 am right now. At what time will both trains leave the station together?

Answers

Answer:

7:12 a.m

Step-by-step explanation:

Given that:

Train to New York city leaves station every 7 minutes

Train to Boston leaves station every 6 minutes

Current time = 6:30 a.m

Time both will leave station together is obtained by finding the least common multiple of 6 and 7

Multiples of ;

6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60,...

7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70,...

The least common multiple of 6 and 7 is 42.

Hence, both trains will leave the station together after 42 minutes ;

Current time + 42 minutes

6:30 a.m+ 42 minutes = 7:12 a.m

Find the y-intercept of a line that passes through the point (-5,-6) and has a slope of 2.

Answers

Answer:

The y intercept is 4

Step-by-step explanation:

Given:

-Given point: (-5,-6)

-Slope of 2

1) Put the equation into point-slope form y - y1 = m(x - x1)

With the given, we can plug it all in using this formula!

-y1 = -6

-x1 = -5

m = 2

(you would change these negative numbers into positives because the equation shows them being subtracted! remember that two negatives make one positive!)

y+6= 2(x+5)

2) Simplify

y+6= 2(x+5)

y+6=2x+10

y=2x+4

With y=2x+4, set x to 0 because the y intercept is where x is equal to 0 and you get 4!

What similarity property, if any, can be used to show that the following two triangles are similar.

A.) SAS
B.) AA
C.) SSS
D.) Not enough information given

Answers

The answer would be C which is SSS

The nth term of a different sequence is 10n^2+5 work out the 5th term of this sequence

Answers

Answer:

255

Step-by-step explanation:

10n^2+5

where n=5

10×5²+5

10×25+5

250+5

255

The 5th term of Sequence is 255.

What is Sequence?

A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).

Given:

10n² +5

Now for 5th term put n= 5 we get

10n² +5

= 10(5)² +5

= 10 x 25 + 5

= 250+ 5

= 255

hence, the 5th term is 255.

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In the activity, Heavy Flying, we looked at constraints for transporting packages from Careful Calculators and Charlie's
Chicken Feed
• Charlie's Chicken Feed containers weigh 40 pounds and are 2 cubic feet in volume.
• Careful Calculators containers weigh 50 pounds and are 3 cubic feet in volume.
On Monday, the pilot transferred containers that totaled 30,000 pounds and 1,600 cubic feet in volume.
1. Write a system of equations to model this situation.
2. Write a matrix equation to model this situation.
3. Solve. How many of each container was transported?
Show your work by uploading a picture or typing in the text box.

Answers

Answer: 500 chicken feed and 200 careful calculators

Step-by-step explanation:

2x+3y=1,600

40x+50y=30,000

those are your first two equations

your first matrix equation for A is 2, 3,40,50 and B is 1,600 and 30,000 when you enter those in your calculator and 500 and 200 should be your result.

a) The system of equations are 2x + 3y = 1600 and 40x + 50y = 30000

b) The matrix equations are solved

c) The solution to the system of equations is

The number of chicken feed = 500

The number of careful calculators = 200

What is multiplication of matrices?

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix

Given data ,

Let the number of chicken feed be represented as x

Let the number of careful calculators be y

Now , the equation will be

Charlie's Chicken Feed containers weigh 40 pounds and are 2 cubic feet in volume

And , Careful Calculators containers weigh 50 pounds and are 3 cubic feet in volume

Substituting the values in the matrices , we get

[tex]\left[\begin{array}{ccc}2 &3 \\ 40 &50 \\\end{array}\right] * \left[\begin{array}{ccc}x\\y\\\end{array}\right]= \left[\begin{array}{ccc}1600\\30000\\\end{array}\right][/tex]

On simplifying the matrix equation , we get

2x + 3y = 1600   be equation (1)

40x + 50y = 30000   be equation (2)

Now , multiply equation (1) by 20 , we get

40x + 60y = 32000   be equation (3)

Subtracting equation (2) from equation (3) , we get

10y = 2000

Divide by 10 on both sides of the equation , we get

y = 200 careful calculators

Substituting the value of y in equation (1) , we get

2x + 3 ( 200 ) = 1600

2x + 600 = 1600

Subtracting 600 on both sides of the equation , we get

2x = 1000

Divide by 2 on both sides of the equation , we get

x = 500 chicken feeds

Therefore , the value of x and y are 500 and 200 respectively

Hence , the system of matrix equations are solved

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Please help me with this question I will give brainliest.
When you are dealing with a problem like this how do you solve it to make sure that the exponent is positive?
14 to the -4 power times 14 to the 7 power. I know that we will keep the base because they are the same but do I add or subtract the exponents?

Answers

Answer:

All you need to remember is the rules

Step-by-step explanation:

Let us remember

a to the m power x a to the nth power is = a to the m+n power. (add the exponents)

And

a to the m power ÷ a to the nth power is = a to the m-n power. (subtract the exponents) So

14 to the -4 power x 14 to the 7 power= 14 to the -4+7 which is equal to 14 to the 3rd power

A biologist uses a rectangular tray that has a width of 1.5 feet and a height of 2 feet. What is the area of the tray in square feet?

Answers

Answer: 3ft squared

Step-by-step explanation: to find the area you have to multiply the height by the width. So 2 times 1.5 is equal to 3.

Why does sin54°≈0.809≈cos36° in a right triangle?

A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.

B
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and the opposite leg of 36° are the same leg in the triangle.

C
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and adjacent leg of 36° are the same leg in the triangle.

D
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and opposite leg of 36° are the same leg in the triangle.

Answers

9514 1404 393

Answer:

A

54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.

Step-by-step explanation:

The answer explains itself.

The sum of angles in a triangle is 180°. When one of the angles is 90°, the sum of the other two angles is also 90°. That means those two acute angles are complementary (not supplementary).

The mnemonic SOH CAH TOA reminds you that ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

a hemisphere has a volume of 381.7 inches .what is the radius of the hemisphere

Answers

Answer:cube root 381.7

Then half it too find the radius.

Step-by-step explanation:

Mrs. Johnson earned $31,500.00 in salary this year. Her salary will increase by 10% next year. Mrs. Johnson is paid on a monthly basis. By how much will her monthly salary increase when she receives her raise?

Answers

Answer:

34650 dollars by next year

Step-by-step explanation:

Answer:

Step-by-step explanation31500x.10. 3150. 31500+3150. 34650. 34650/12 2887.50. 31500/12. : 2625. Difference per month 262.50

Simply.
[tex] \frac{ab - a}{a} = [/tex]
[tex] \frac{2x + y}{y} = [/tex]
I mainly forgot how to do it. Do I divide -ab to get it alone? How do I do it?​

Answers

Answer:

Required Answer:-First go to first equation

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac{ab-a}{a}}[/tex]

Take common

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {{\bcancel {a }}(b-1)}{{\bcancel {a}}}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]{\underline{\boxed{\bf b-1)}}}[/tex]

D=
R=
Function?
Find the domain and range of each relation.

Answers

Answer:

Try to do it with mth way

domain is -4,-2,5. and range is 0,3,7,9.

1 Which expression is equivalent to (7x – 5) – (3x - 2)?​

Answers

Answer:

The answer is D.

Step-by-step explanation:

Identify the determinants for the given linear system: 5x + 2y = 14 −3x − 5y = 3

Answers

Answer:

Step-by-step explanation:

|A|= 5, 2, -3, -5

|Ax|= 14, 2, 3, -5,

|Ay|= 5, 14, -3, 3

The determinants are, [tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex], [tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex] and [tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].

What are the three types of solutions for a system of linear equations?

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

The given linear system is, 5x + 2y = 14 and - 3x - 5y = 3.

In terms of determinants, it can be written as,

[tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex].

[tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex].

[tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].

[tex]x = \frac{D_x}{D}[/tex] and [tex]y = \frac{D_y}{D}[/tex].

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Write an absolute value inequality to represent each situation.

Two friends are hiking in Death Valley National Park. Their elevation ranges

from 228 ft below sea level at Badwater to 690 ft above sea level at Zabriskie

Point. Let x represent their elevation in feet.

Answers

Answer:

║ x - 231 ║ ≤ 459

Step-by-step explanation:

Since we have 228 ft below sea level, this is x' = -228 ft. Also,  we have 690 ft above sea level, this is x" = 690 ft.

Since x is our elevation in feet, x ranges from -228 ≤ x ≤ 690.

To write an absolute value equation for x, we first take the average of the two values for the ranges to obtain the ideal value of x.

So, ideal value = [690 + (-228)]/2 = 462/2 = 231.

We also find the tolerance by taking the difference of both values and dividing by 2. So tolerance = [690 - (-228)]/2 =  [690 + 228)]/2 = 918/2 = 459.

Subtracting 231 from each value of the inequality we have

-228 - 231 ≤ x - 231 ≤ 690 - 231

-459 ≤ x - 231 ≤ 459

Since we have in magnitude the values on the left and right side of the inequality,

So ║ x - 231 ║ ≤ 459

In the equation y = 2π^x, 2 is the ______ and π is the ______.

Answers

Answer:

pi(π) is the constant and x is the variable since pi is a numerical value and x can change according to the equation given.

Step-by-step explanation:

It costs $26 to join Gym X, plus an additional $33 per month. It
costs $59 to join Gym Y, plus an additional $30 per month.
After how many months of membership would it cost the
same to belong to either gym?

PLEASEE HELP !

Answers

8 months

Step-by-step explanation:

does anyone know this?

Answers

1.37x10^9 is the correct answer:)

Answer:

1.37×10^9 is in scientific notation

Help please :((((((((((((((

Answers

Step-by-step explanation:

connect the points p and s

and comnect the points q and t

take triangle PQS and triangle TSQ

SQ similar to SQ

PQ similar to QS

QS similar to ST

therefore triangle PQS similar to triangle TSQ

Therefore , PQ/ QS = ST/ QS

PQ=ST

Evaluate 7 – (-1). ​

Answers

Answer:

8

Step-by-step explanation:

7-(-1)

My teacher said if it looks like this: -(- make it a plus!

so basically 7+1=8

help immediate i will mark you brainliest

Answers

Answer:

What's the question?

What is the slope of a line that is perpendicular to the graph of y = 4/5x+9?

Answers

Perpendicular = opposite sign and reciprocal slope
4/5x slope turns into -5/4x
The slope of perpendicular line: -5/4x

Answer:

m = -5/4

General Formulas and Concepts:

Algebra I

The slope of the perpendicular line is the negative reciprocal of the original slope.

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Slope-Intercept Form (Original):   y = 4/5x + 9

Step 2: Break Original Function

Slope m = 4/5

y-intercept b = 9

Step 3: Find slope of perpendicular line

Take the negative reciprocal.

Perpendicular Slope m = -5/4

77 is 56% of what number

Answers

Answer:

137.50

Step-by-step explanation:

please give branliest

Answer:

137.5 I think I might be wrong..

Help ASAP if you want brainliest

Answers

Answer:

A. 1. mph

C. 3. hpm

Step-by-step explanation:

Simplify 10cm:30cm
Simplify 2cm:1m

Answers

Step-by-step explanation:

Simplest form=10/30=1/3

=1cm:3cm

Simplest form=2cm:1m

1m=100cm

2:100

2/100=1/50

1cm:50cm

Answer:

Simplest form=10/30=1/3

=1cm:3cm

Step-by-step explanation:

The equation f equals 9/5 C + 32 relates temperature measured in degrees celsius C to degrees Fahrenheit f Determine whether there is a proportional relationship between C and F explain your reason

Answers

Given:

[tex]F=\dfrac{9}{5}C+32[/tex]

where, F is degree Fahrenheit and C is degree Celsius.

To find:

Whether there is a proportional relationship between C and F.

Solution:

We know that, proportional relations is defined as

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

where, k is constant of proportionality.

So, the line of proportional relationship passes through (0,0) and the equation must be true for (0,0).

If there is a proportional relationship between C and F, then the equation must be true for (0,0).

Substituting F=0 and C=0 in the given equation, we get

[tex]0=\dfrac{9}{5}(0)+32[/tex]

[tex]0=0+32[/tex]

[tex]0=32[/tex]

This statement is false because [tex]0\neq 32[/tex].

It means the line of given equation does not passes through (0,0). So, it s not a proportional relationship.

Hence, there is not a proportional relationship between C and F.

If the x- intercept is 2 and the y- intercept is -5 and the slope is 1/3. Write in equation in slope intercept form and standard form.

Answers

Answer:

The equation in slope-intercept form is

[tex]y=\frac{5}{2}x-5[/tex]

The equation in the standard form will be:

[tex]\frac{5}{2}x-y=5[/tex]

Step-by-step explanation:

The x-intercept is obtained when we set the value y=0

As the x-intercept is 2, therefore the point representing

the x-intercept will be: (2, 0)

The y-intercept is obtained when we set the value x=0

As the y-intercept is -5, therefore the point representing

the y-intercept will be: (0, -5)

So we get the two points

(2, 0)

(0, -5)

Finding the slope between (2, 0) and (0, -5)

[tex]\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:-5\right)[/tex]

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-5-0}{0-2}[/tex]

[tex]m=\frac{5}{2}[/tex]

Using the point-slope form of the line equation

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

Here m is the slope

substituting the values m = 5/2 and the point (2, 0)

[tex]y-0=\frac{5}{2}\left(x-2\right)[/tex]

so writing the equation in slope-intercept form

As we know that the slope-intercept form is

[tex]y=mx+b[/tex]

here

m = gradient or slop b = y-intercept

so

[tex]y=\frac{5}{2}\left(x-2\right)[/tex]

[tex]y=\frac{5}{2}x-5[/tex]

Hence, the equation in slope-intercept form is

[tex]y=\frac{5}{2}x-5[/tex]

Writing the equation in the standard form form

As we know that the equation in the standard form is

[tex]Ax+By=C[/tex]

where x and y are variables and A, B and C are constants

As we already know the equation in slope-intercept form

[tex]y=\frac{5}{2}x-5[/tex]

so the equation in the standard form will be:

[tex]\frac{5}{2}x-y=5[/tex]

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