find an equation for the line that passes through the points (-6,-3) and (4,5).

Answers

Answer 1

The equation of the line that passes through the points (- 6, - 3) and (4, 5) is y = (4 / 5) · x.

How to determine the equation of the line from two points

In this question we have the knowledge of two points, of which we must derive the equation of a line, whose definition is shown below:

y = m · x + b

Where:

x - Independent variable.y - Dependent variable.m - Slopeb - y-Intercept

The slope of the line can be determined by secant line formula:

m = Δy / Δx

Where:

Δx - Change in independent variable.Δy - Change in dependent variable.

First, determine the slope of the line:

m = [5 - (- 3)] / [4 - (- 6)]

m = 8 / 10

m = 4 / 5

Second, determine the intercept of the line:

b = y - m · x

b = 5 - (4 / 5) · 4

b = 5 - 5

b = 0

Third, write the equation of the line:

y = (4 / 5) · x

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Related Questions

Solve each linear equation for x.
(A) –12x + 9 = –15x x = (B) 4.5x + 11.5 = 8.5x + 3.5 x = (C) 23 x – 9 = 13 x x =

Answers

Answer:

when I see this I know and can show you how to solve the question and the answer it 2 and it's obvious so if you don't know it that's pretty much sad and pathetic answer 2

What is 17 divided by 9

Answers

The answer is 1.8 recurring

For brainliest and 50 points!!!​

Answers

The statements in if-then form are given as follows:

If it is right-angled, then it is 90 degreesIf x=6, then x² = 36If two angles measure 180°, then they are supplementary If your body temperature is 103°, then you have a fever If is 6pm, then it is time for dinnerIf there is gas in the tank, then the car runs If there there are 12 eggs if the carton, then it is fullIf a car is leaking antifreeze, then it has a problemIf a dog is old, then you can't teach it new tricksIf a deer has white fur and pink eyes, then it is albino

What is the value of an IF-Then Construct?

If-Then statements are a sort of variable logic that allows the variable's output to be determined conditionally. All If-Then statements must specify the circumstances and actions that should occur when those criteria are fulfilled.

If-then arguments, also known as conditional arguments or hypothetical syllogisms, are deductive logic's workhorses. They are a loosely defined class of logical arguments with an if-then statement (a conditional) as a premise. The conventional form of the conditional is If P, Q follows.

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Without looking, you get to choose twice. You will not put them back
each time, because that would be gross.
A) What kind of event is this (independent or dependent)?
B) What is the probability that you would draw 2 reds?

show your work and answer

Answers

A) This is an independent event.

B) The probability that you would draw 2 reds is 0.017

What is probability?

The likelihood of an event occurring is known as probability. You can determine how likely something is by asking someone what the probability of something happening is.

When people purchase lottery tickets, the likelihood of winning is typically stated, and it occasionally may be as low as 1/10,000,000. (or even worse). This informs you that there is a low likelihood that you will succeed.

There are 4 reds out 0f 30 colours

The probability of drawing red the first time is 4/30 = 2/15

The probability of drawing red on the 2nd time is 4/30 = 2/15

The probability of drawing red on the both draw is = 2/15 × 2/15

                                                                                     = 4/225

                                                                                     = 0.0170

Thus, The probability of drawing red on the both draw is 0.0170.

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I-Ready The map shows an obstacle course at a school fair.

Answers

it’s 25 i used to do it

I eh need the Answer to this please i am timed!!

Answers

Answer:

pro tip: crop your screen before you post it....

I think it's B

I did this 2 years ago in middle school

The answer is definitely b

Please help will mark Brainly

Answers

Answer: 12

Step-by-step explanation: There are about 12 grams of carbohydrates in a 8 fluid ounce (240 mL) glass of whole milk. The amount of carbohydrates in milk can vary slightly depending on the type of milk you are drinking. For example, skim milk has slightly fewer carbohydrates (about 11 grams per 8 fluid ounces) than whole milk because the fat has been removed. On the other hand, milk that is high in fat, such as heavy cream, has even more carbohydrates (about 4 grams per fluid ounce).

One number is three more than twice another number. If the sum of the two numbers is 30 , find the numbers

Answers

Answer:

9 = 1st number

21 = 2nd number

Step-by-step explanation:

given that :

1st number = x __eq_i

2nd number (in terms of the first number) = 2x + 3 __eq_ii

1st number + 2nd number = 30 __eq_iii

input eq_i and eq_ii in eq_iii

x + 2x + 3 = 30

3x + 3 = 30

3x = 30 - 3

x = 27 ÷ 3

x = 9

9 = 1st number

input the value of x in eq_ii

2x + 3

2(9) + 3

18 + 3

21 = 2nd number

hope that helps.

3 3/8 Converted to improper fraction

Answers

Answer:

27/8

Step-by-step explanation:

First, note that 3 3/8 is a mixed number, also know as mixed fraction. It has a whole number and a proper fraction. The numbers in the mixed fraction are defined as follow:

3 = whole number

3 = numerator

8 = denominator

To convert mixed number 3 3/8 to improper fraction, you follow these steps:

1. Multiply the whole number by the denominator

  3 × 8 = 24

2. Add the product from Step 1 to the numerator

   24 + 3 = 27

3. Write answer from Step 2 over the denominator

   27/8

The mixed number 3 3/8 converted to improper fraction is therefore :

27/8

Rewrite the radical expression as an expression with a rational exponent.

the seventh root of x to the thrid power

x to the three sevenths power
x to the seven thirds power
x^21
x^4

Answers

Answer:

To rewrite the radical expression "the seventh root of x to the thrid power" as an expression with a rational exponent, we need to use the property that allows us to rewrite a root of a power as a power with a rational exponent. This property states that "the nth root of x to the mth power" is equal to "x to the m/nth power".

Using this property, we can rewrite "the seventh root of x to the thrid power" as "x to the 3/7th power". Therefore, the correct answer is "x to the 3/7th power".

The other answer choices are not equivalent to the original expression. "x to the seven thirds power" is not a valid expression because "thirds" is not a unit of measurement. "x^21" is not equivalent to the original expression because the base and exponent are not related in the same way as in the original expression. "x^4" is not equivalent to the original expression because the base is the same but the exponent is not.

Answer: x to the 3/7th power

Step-by-step explanation:

so you dont have to read a essay to get the answer lol

Maya went shopping for a new video game because of a sale. The store was offering a 40% discount. If the price on the tag was pp, which expression does NOT represent the price after the discount but before tax?

Answers

The expression that represents the price of the video game after the discount is

p - 0.4p
Where p is the original price of the video game.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Price of the video game = p

Discount = 40%

The price of the video game after the discount.

= p - (40% of p)

= p - (40/100)p

= p - 0.4p

Thus,

The expression is p - 0.4p.

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1/2k+6=4k-8

Please explain step by step

Answers

So on solving the provided question, we can say that the value of k is 4, in this linear equation question.

What is a linear equation?

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

1/2k +6= 4k-8

Multiplying both sides by 2,

k+12= 8k-16

7k=28

Therefore,

       k=4

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1. choices: m-n m+n. m x n

2. choices: two. one. m. n.

3. choices: one. two. zero

4.choices: one. two. zero.

5. choices: first and last. first. last. middle

Answers

The initial polynomial result will include several terms, but after simplification, there may only be one or two terms left.

Polynomial's will be in which form?

Each polynomial must be considered to be in standard form. The initial multiplication will result in a total of m and n terms since each of the m terms of the first polynomial will be multiplied by each of the n terms of the second.

When the sum is simplified, some of those elements may be combined, resulting in a final product with only one or two terms.

1. 2 × b = 2b . . . . . each has 1 term; the result has 1 term.

2. (x -a)(x +a)  = x² -ax + ax -a² (2×2=4 terms) = x² -a² . . . . the results has 2 terms.

3.  (x -a)(x³ +x) =  x⁴ -ax³ + x² -ax . . . the results has 2×2 = 4 terms

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1
Multiple Choice Question
What type of number is 105?
Choose all that apply
Whole number
Integer
Rational
Irrational

Answers

Analyzing the options given in the question, the options that satisfy for the number 105 are: Integer, Rational, Whole number.

What are whole numbers?

All natural numbers and 0 are included in the category of whole numbers. They are a subset of real numbers, which exclude negative numbers, decimals, and fractions.

What are rational numbers?

A rational number is a number which is in the form of p/q where p and q are both integers and q is not equal to zero.

The number 105 is , Whole number since it falls between all the numbers between 0 to positive infinity. Similarly, the number is an Integer since it does not contain any fractions or decimals. And, the number 105 is rational number since it can be expressed in the form of 105/1.

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Which is the graph of the equation y-1=(x-3)?
O
(-31).
10
CO
8
fi
Q
4.
y

Answers

Answer:

The graph of the equation "y - 1 = (x - 3)" is a straight line.

To graph this equation, we can start by rearranging the equation to get "y = x - 3 + 1". This simplifies to "y = x - 2".

This equation is in slope-intercept form, which means that the slope of the line is given by the coefficient of the x term, and the y-intercept (the point where the line crosses the y-axis) is given by the constant term. In this case, the slope is 1 and the y-intercept is (-2, 0).

To graph the line, we can start by plotting the y-intercept at the point (0, -2). Then, we can use the slope of 1 to find a second point on the line and draw a straight line through these two points. The graph of the equation "y = x - 2" is shown below:

[asy]

unitsize(1.5cm);

draw((-1.5,0)--(1.5,0));

draw((0,-2.5)--(0,2.5));

draw((-1.5,-2)--(1.5,2),dashed);

label("$x$", (1.5,0), E);

label("$y$", (0,2.5), N);

[/asy]

The graph of the equation "y - 1 = (x - 3)" is the same as the graph of the equation "y = x - 2", except that all the y-values on the graph are increased by 1. This means that the graph of the equation "y - 1 = (x - 3)" is obtained by shifting the graph of "y = x - 2" upward by 1 unit. The graph of the equation "y - 1 = (x - 3)" is shown below:

[asy]

unitsize(1.5cm);

draw((-1.5,0)--(1.5,0));

draw((0,-2.5)--(0,2.5));

draw((-1.5,-1)--(1.5,3),dashed);

label("$x$", (1.5,0), E);

label("$y$", (0,2.5), N);

[/asy]

The answer choices given in the question do not match the description of the graph of the equation "y - 1 = (x - 3)". "O" does not match the description of the graph, as it is not a graph of a straight line. "(-31)" and "10" do not match the description of the graph, as they are not graphs at all. "CO" does not match the description of the graph, as it is the graph of a circle, not a straight line. "8" does not match the description of the graph, as it is the graph of an exponential function, not a straight line. "fi" does not match the description of the graph, as it is not a graph of a function. "Q" does not match the description of the graph, as it is not a graph at all. "4." does not match the description of the graph, as it is not a graph of a function. "y" does not match the description of the graph, as it is not a graph at all.

Anyone know about this thanks :)

Answers

The height of the rock ledge is 20 meters and height of the tree is 59 meters.

What are heights and distances?

Heights and Distances is a study about the applications of Trigonometry. It has many real-life applications, such as measuring the object’s height, depth of the object, the distance between two celestial objects etc. The formulas and the ratios of trigonometry are helpful in the study of heights and distances.

From a rock ledge, the angle of elevation to the top of a tree is 22°. The angle of depression to the base of the tree is 12°.

a) Let the height of the rock ledge be x.

Now, tan12°=x/96

0.2125=x/96

x=20.4 meters

x≈20 meters

b) Let the height of the tree be y

Here, part of the tree is y-20

Now, tan22°=(y-20)/96

0.404=(y-20)/96

y-20=38.784

y=58.784

y≈59 meters

Therefore, the height of the rock ledge is 20 meters and height of the tree is 59 meters.

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Suppose you have fewer than 10 place value blocks. How many different ways could you show 1214?

Answers

Answer:

To show 1214 using place value blocks, you would need at least 4 blocks: one thousand block, two hundred blocks, one ten block, and four ones blocks. If you have fewer than 4 blocks, it is not possible to show 1214 using place value blocks.

If you have exactly 4 blocks, you can show 1214 in only 1 way: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks.

If you have exactly 5 blocks, you can show 1214 in 2 ways: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks, or using 2 thousand blocks, 1 hundred block, 2 ten blocks, and 4 ones blocks.

If you have exactly 6 blocks, you can show 1214 in 3 ways: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks, using 2 thousand blocks, 1 hundred block, 2 ten blocks, and 4 ones blocks, or using 1 thousand block, 1 hundred block, 3 ten blocks, and 4 ones blocks.

Therefore, if you have fewer than 10 place value blocks, you can show 1214 in 3 different ways.

4 glasses cost £24 in total how much do seven glasses cost

Answers

Using simple unitary method process in the given problem with the provided values, The answer is £42 .

What is unitary method?

The unitary method is a method of solving mathematical problems in which the relationship between a quantity and its unit of measurement is used to find an unknown quantity. It involves expressing the given quantity in terms of a unit, then solving for the unknown quantity in terms of the same unit.

What are arithmetic operators?

Arithmetic operators are used to perform basic mathematical operations, such as addition (+), subtraction (-), multiplication (*), division (/), and modulus (%). They take numerical values (either literals or variables) as their operands and return a single numerical value. These are widely used in mathematical computations, like in programming languages, spreadsheets and calculator apps.

4 glasses cost £24.

1 glass cost £24/4 = £6

7 glasses cost = £6 * 7 = £42

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In this case, how would it be resolved if it does not indicate any base, only brand X

Answers

The coordinates of the vertices of the square with height x is given as follows:

H(-x,x).I(0,x).J(0,0).K(-x,0).

What is a square?

A square is a figure for which all the four side lengths are congruent, that is, they have the same measure.

The side length of the square in this problem is given as follows:

x.

As the height is equals to the base.

The vertex J represents the origin, hence it has coordinates given as follows:

J(0,0).

Then the remaining coordinates of the square are given as follows:

H(-x,x). -> x units left and x units up from the origin.I(0,x). -> x units up from the origin.K(-x,0). -> x units left from the origin.

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Write the equation of the ellipse with a center at (5,-2), one vertex at (2, -2) and a focus at
(5+ √5,-2)

Answers

On solving the provided question we can say that - the value of the ellipse will be (5+ , root5)

what is ellipse?

In mathematics, an ellipse is a planar curve that encompasses two focus points and ensures that the sum of the two distances from any point on the curve to the focal points is constant. In doing so, the circle—a particular variety of ellipse with two equal focus points—is generalized. The ellipse, whose eccentricity is less than 1, indicates the area containing the points whose distances from its two foci add up to a certain amount. Running tracks in sporting arenas and 2D egg forms are two straightforward examples of ellipses in daily life.

here we have,

center at (5,-2), one vertex at (2, -2) and a focus at

(5+ √5,-2)

so the answer is (5+ , root5)

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Which conditional statement has a false converse? If a figure is a square, then it has four sides. If a point has x-coordinate 0, then it lies on the y-axis. If two angles are congruent, then they have the same measure. If two planes are parallel, then they have no points in common.

Answers

The conditional statement has a false converse will be the four-sided polygon may be square. Then the correct option is A.

What is the conditional statement?

There have been two main categories of arguments in the studies of logic: conditional statements and polyamorous statements. These assertions, which are referred to as compound statements, are created by combining two other statements.

The converse statement should also be true when its condition is reversed.

Let's check all the options. Then we have

A.  If a figure is a square, then it has four sides. The converse of the statement is false.

B.  If a point has an x-coordinate 0, then it lies on the y-axis. The converse of the statement is true.

C.  If two angles are congruent, then they have the same measure. The converse of the statement is true.

D.  If two planes are parallel, then they have no points in common. The converse of the statement is true.

The conditional statement has a false converse will be the four-sided polygon may be square. Then the correct option is A.

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√2 (2-2√10) how do you simplify

Answers

Answer:

2√2- 4√5

Step-by-step explanation:

√2 (2-2√10)

2√2- 2√20

2√2- 2√(4*5)

2√2- 2*2√5

2√2- 4√5

A right triangle with coordinates A (-2,5), B (-2, 9) and C (4,5) is first rotated 90 degrees counterclockwise and
then translated 2 units left and 3 units down to form triangle A'B'C'. What is the measure of angle B'A'C',
in degrees, in the resulting figure?

Answers

Answer:

90 degree

Step-by-step explanation:

since the original angle BAC is 90 degree, no matter the triangle is rotated or translated, the angle remain unchanged

This tablet shows an example of
was first used by the
>
It

Answers

Answer: the answer is 1.cuneiform & 2.sumerians

Step-by-step explanation: searched it up

it takes 9 people 40 minutes to clean a hotel lobby. How many minutes would it take 4 people

Answers

Answer:

90 minutes

Step-by-step explanation:

9 people = 40 minutes

4 people = 40/4=10

10 * 9= 90

therefore 4 people will finish the work in 90 minutes

5. A candy company used 12 gallons of syrup to make 6 batches of candy. What is the rate of syrup per batch?​ (Please explain!)

Answers

Answer: 2 gallons of syrup per batch

Step-by-step explanation:

12/6=2

How do I solve this system of equations using the elimination method
y=3x+13
2x=y-9

Answers

The value of x is -4 and the value of y is 1.

What is the value of x and y?

In order to use the elimination method, rearrange the given linear equations.

y - 3x = 13 equation 1

y - 2x = 9 equation 2

Subtract equation 2 from equation 1:

-x = 4

x = -4

Substitute for x in equation 2

y - 2(-4) = 9

y  + 8 = 9

y = 9 - 8

y = 1

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suppose you have a credit card debt of $6000. Last month, the bank charged you $55 interest on the debt. The solution to the equation 55= 6000/12 * r represents the annual interest rate in the credit card, r. Find the annual interest rate on the credit card

Answers

Answer: The formula for the interest charged on a credit card debt is:

Interest = (Principal * Annual Interest Rate) / 12

We know that the interest charged last month is $55, and the principal (the credit card debt) is $6000, so we can substitute these values into the formula and solve for the annual interest rate:

55 = (6000 * r) / 12

To find the annual interest rate, we will solve for r.

r = (55 * 12) / 6000

r = 0.09 which is a 9% annual interest rate.

So, the annual interest rate on the credit card is 9%.

Step-by-step explanation:

Find the inverse of y=3/(x+1) -2

Answers

The inverse of the function is y = 3/(x + 2) - 1

How to determine the inverse of the function

From the question, we have the following parameters that can be used in our computation:

y=3/(x+1) -2

Rewrite as

y = 3/(x + 1) - 2

Swap the positions of x and y

So, we have the following representation

x = 3/(y + 1) - 2

Next, we make y the subject of the formula

This gives

3/(y + 1) = x + 2

Take the inverse of both sides

(y + 1)/3 = 1/(x + 2_

So, we have

y = 3/(x + 2) - 1

Hence, the inverse is y = 3/(x + 2) - 1


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You bought a new laptop and paid an initial payment of $150 you will make 12 payments of $69.50 how much would the computer cost if your state tried to 6% sales tax

Answers

The cost of the computer if the sales tax is 6% is  924.96 dollars.

How to find the cost of the computer after sales tax?

You bought a new laptop and paid an initial payment of $150. You will make 12 payments of $69.50.

The amount the computer cost if the your state charge 6% sales tax can be calculated as follows;

Install mental payment = 12 × 69.50

Install mental payment = 834 dollars

You already made payment of 150 dollars.

Therefore,

total payment including sale tax = 150 + 834

total payment including sale tax = 984 dollars

Sales tax = 6% of 984

Sales tax =  6 / 100 × 984

Sales tax = 5904 / 100

Sales tax = 59.04 dollars

Therefore,

cost of the computer = 984 - 59.04

cost of the computer = 924.96 dollars

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