/. Which equation represents the line that passes through the points (-8, 6) and (-11, -6)?

[A] (v-8)=-4(x+6)
[B] (v+6)= 4(x-8)
[C] (v-6)=-4(x+8)
[D] (v-6) = 4(x+8)

Answers

Answer 1

The equation (D) y - 6 = 4(x+8) represents the line passing through the points (-8, 6) and (-11, -6).

What is the point-slope form of a line?

The point-slope form can be used to get the equation of a straight line that traverses a specified point and is inclined at a particular angle to the x-axis. A line exists if and only if each point on it fulfills the equation for the line. This suggests that a linear equation in two variables can represent a line.

The given points are

(x₁, y₁) = (-8, 6)

(x₂, y₂) = (-11, -6)

So, the slope is given by

m = (y₂- y₁)/ (x₂- x₁)

= (-6 -6)/ (-11 -(-8)

= -12/ -3

= 4

Put (x₁, y₁) = (-8, 6) in the equation (y - y₁) = m (x- x₁)

y - 6 = 4(x-(-8)

y - 6 = 4(x+8)

So, the correct option is (D).

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Related Questions

Solve: 9l5n - 8l - 3 < 15

Answers

Answer:

9l^5n-8l-3<15

Step-by-step explanation:

Challenge In​ basketball, some baskets are worth two points. Others are worth three points. In one​ game, the ratio of​ three-point baskets to​ three-point tries for one team was 2:5. If the team scored 24 points from​ three-point baskets, how many​ three-point tries did the team​ have?

Answers

Answer:

20

Step-by-step explanation:

3-point shots made : 3-point shots attempted = 2 : 5

If the team made 24 points out of 3-point baskets, then since 24/3 = 8, it made 8 3-point baskets.

Proportion:

8 made is to 2 as x attempted is to 5

8/2 = x/5

2x = 40

x = 20

Express this equation:

Answers

Answer:

(14x +49)^2

Step-by-step explanation:

PLEASE GIVE BRAINLIEST THANK YOU!!!

Solve this system of 3 variables with elimination. Once you eliminate 1 variable to get down to only 2, you can use Desmos but show all work/steps first.
3x − 4y + z = 2
−9x + 12y − 3z = − 6
4x − 2y − z = -16

Answers

The value of the x, y, and z for the given system of equations are; x =  -2/3, y = -1/2, and z = 1.

First, let us understand the equation:

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given the system of equations;

3x − 4y + z = 2                ...........equation 1

−9x + 12y − 3z = − 6       ...........equation 2

4x − 2y − z = -16             ...........equation 3

Add equation 1 to equation 3, we will get;

(3x − 4y + z ) + (4x − 2y − z ) =  2 -16

7x - 6y = -14  ...........equation 4

Multiply equation 3 by 3 and subtract from equation 2, we will get;

3(4x − 2y − z) - (−9x + 12y − 3z ) = -48 + 6

12x - 6y - 3z + 9x - 12y + 3z = 42

21x  - 18y = 42   ...........equation 5

Multiply equation 4 by 3 and add it to equation 4, we will get;

3(-3x + 3z) + (9x + 4z) = 5×3 - 2

-9x + 9z + 9x + 4z = 15 -2

13z = 13

z = 1

Put z = 1 in equation 5, we will get;

-3x + 3×1 = 5

-3x + 3 = 5

-3x = 5 - 3

x = -2/3

y = -1/2

Thus, the value of the x, y, and z for the given system of equations are; x =  -2/3, y = -1/2, and z = 1.

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Simplify your answer as much as possible please.

Answers

Answer:

3/5=w

Step-by-step explanation:

the 2 onthe numerator and the 2 on the denominator cancel each other out leaving w byitself.

Answer:

16/5

Step-by-step explanation:

10x3/5=10x w-2/2

What constant would be added to the expression x^2+8/3x in order to make it a perfect square

Answers

Answer:

Hence, the value of y = b^2 = (-3/2)^2 = 9/4 is your answer

Step-by-step explanation:

only if your answers are
A) 3/2

B) 9/4

C) 6

D) 9

HELP ME PLS!!!!!!!!!

Answers

Answer:

It's a positive correlation.

Step-by-step explanation:

It's gradually going up, even if there's a few points that are a bit uncorrelated.

2 ( X + 9 ) - 15 = -3

Answers

Answer:

x = -2

Step-by-step explanation:

2(x + 9) - 15 = -3  Distributive property

2(x) + 2(9) -15 = -3

2x +18 - 15 = -3  Combine like terms

3x + 3 = -3   Subtract 3 from both sides

3x = -6  Divide both sides by 3

x = -2

x=-3
The other person did all the steps correctly, they just accidentally wrote 3x instead of 2x in one of the steps

the population of the world in 2010 was 7 billion and the annual growth rate was estimated at 1.2 percent per year. assuming that the world population follows an exponential growth model, find the projected world population in 2044. round your answer to one decimal place.

Answers

With annual growth rate of 1.2% per year, the projected world population in 2044 is 10.5 billion

The formula for the exponential growth model is:

X(t) = Xo (1 + r)^t

Where:

X(t) = value of X at time t

Xo = initial value

t = time interval

r = growth rate

Parameters given:

Xo = 7 billion = 7 x 10⁹

t = 2044 - 2010 = 34

r = 1.2% = 0.012

Hence,

X(t) =  7 x 10⁹ (1 + 0.012)³⁴

X(t) = 10.5 x 10⁹ = 10.5 billion

Therefore,

The projected world population in 2044 = 10.5 billion

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Reduce 4hours 20minutes by 12%

Answers

Step-by-step explanation:

by 12 % seconds

So turn 4hours and 20 minutes into minutes is (60x4)+20 = 280 minutes
1% of 280 is 2.8
12% of 280 is 33.6
So 280 - 33.6 = 246.4 minutes or 4 hours 10 minutes

A farmer bought a number of pigs for $168. However, 7 of them died before he could sell the rest at a profit of 5 per pig. His total profit was $36. How many pigs did he originally buy?

Answers

Answer:

15$

Step-by-step explanation:

Half of A's money plus one, fifth of B's makes #100. Two
Thirds of A's money plus two-fifth of B's makes # 150.
How much money has each?

Answers

The money A has is #150 and the money B has is #125.

According to the question,

We have the following information:

Half of A's money plus one-fifth of B's makes #100. Two-thirds of A's money plus two-fifth of B's makes # 150.

So, we will convert these verbal phrases into expression.

Now, let's take the amount of A to be #x and the amount of B to be #y.

x/2 + y/5 = 100

Using the least common factor of 2 and 5:

5x+2y = 1000

5x = 1000-2y ...(1)

2x/3 + 2y/5 = 150

Adding the fractions using the least common multiple of 3 and 5:

(10x+6y)/15 = 150

Using the cross multiplication method:

10x+6y = 2250

Now, putting the value of 5x from equation 1:

2(1000-2y)+6y = 2250

2000-4y+6y = 2250

2y = 2250-2000

2y = 250

y = 250/2

y = #125

Now, putting this value of y in equation 1:

5x = 1000-2y

5x = 1000-2*125

5x = 1000-250

5x = 750

x = 750/5

x = #150

Hence, the money A has is #150 and the money B has is #125.

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WHAT DOES Y EQUAL PLS HELP ASAP

Answers

The standard form of quadratic function is f(x) = 1(x-2)2 - 6

A quadratic function is a two-degree function. A parabola is the graph of a quadratic function. A quadratic function has the general form f(x)=ax2+bx+c, where a, b, and c are real numbers and a0. A quadratic function has the standard form f(x)=a(xh)2+k. The vertex (h,k) has the coordinates h=-b2a,k=f(h)=f(b2a).

Given points (5,3) and (2,-6)

We know that the General form of a quadratic function is

f(x) = ax2+bx+c

Standard form = a(x-h)2 + k

Here point(x,y) = (5,3) and vertex (h,k) = (2,-6)

y =  a(x-h)2 + k

3 = a(5-2)2 – 6

3 = a(3)2 – 6

3 + 6 =9a2

9= 9a2

a2 = 9/9

a2=1

a=1

Now substitute a value in standard form

f(x) = 1(x-2)2 – 6

Therefore the standard form of quadratic function is f(x) = 1(x-2)2 – 6

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Determine the measure of each missing angle:

Angle f= 69
Angle g= 69
Angle h= ??

I found G and F but I’m stuck on H please help me!!

Answers

Answer:

Angle f = 69°Angle g = 69°Angle h = 125°

Step-by-step explanation:

Angles f and g are congruent as opposite sides are congruent. Therefore:

g = f = (180° - 42°)/2 = 138°/2 = 69°

Angles h, 76°, g and the right angle all together form 360°:

h + 76 + g + 90 = 360h + 166 + 69 = 360h + 235 = 360h = 360 - 235h = 125

Sophie and Addison work at a dry cleaners ironing shirts. Sophie can iron 20 shirts per hour, and Addison can iron 30 shirts per hour. Sophie and Addison worked a combined 11 hours and ironed 260 shirts. Determine the number of hours Sophie worked and the number of hours Addison worked.

Answers

The number of hours Sophie worked and the number of hours Addison worked are 7 and 4 hours respectively.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let x and y be the number of hours for Sophie and Addison:

x + y = 11

20x + 30y = 260

After solving the above two linear equations by substitution:

x = 7 hours

y  = 4 hours

Thus, the number of hours Sophie worked and the number of hours Addison worked are 7 and 4 hours respectively.

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Sal has already finished startfraction 5 over 9 endfraction of the 45 math problems he was assigned. If each math problem took him three-fifths of a minute to finish and this pace continues, which expression can be used to determine the amount of time it will take him to finish his remaining homework? 45 times startfraction 5 over 9 endfraction times three-fifths 45 times startfraction 5 over 9 endfraction divided by three-fifths 45 times startfraction 4 over 9 endfraction times three-fifths 45 times startfraction 4 over 9 endfraction divided by three-fifths.

Answers

The correct expression to determine the amount of time is 45 times startfraction 4 over 9 endfraction times three-fifths.

Sal has finished = 5/9 of 45 maths problems

So, the remaining number of maths problems = 1 - 5/9

The remaining number of maths problem = (9 - 5)/9

The remaining number of maths problem = 4/9 of 45

Amount of time to solve 1 problem = 3/5 of a minute

Amount of time to solve 4/9 problems = 45×4/9 × 3/5 of a minute.

Hence, 45 times startfraction 4 over 9 endfraction times three-fifths is the correct expression to find the time.

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Graph the solution of the inequality 2x - (3-x) > x + 1 on the number line.
Ο Α.
-5 -4 -3 -2 -1 0 1
OB.T
0 с.
2
+
-5 -4 -3 -2 -1 0 1 2
F
OD. |▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
+ +
3
10Ø|||
-5 -4 -3 -2 -1 0 1 2 3
-5 -4 -3 -2 -1 0 1 2
+43
3
4 5
14
4 5
++
4 5
+
4 5

Answers

The solution of the inequality is x>2 and the graph is attached below.

What is inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. When two values are compared, an inequality shows whether one is higher, lower, or simply not equal to the other.

The given inequality is 2x - (3-x) > x + 1,

Now, solving the inequality by opening the bracket,

2x - (3-x) > x + 1

[tex]2x - 3 + x > x + 1[/tex]

3x - 3 > x + 1

Subtracting x from both sides and  adding 3 on both sides,

2x > 4

x > 2

So, the graph is attached below and Option D is correct.

Therefore, after solving the given inequality, we get x > 2 and the graph is attached below.

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-4(5x - 3) + 12

equation answer pls

Answers

Answer:

72

Step-by-step explanation:

Answer: -4(5x-6)

If you add the numbers you will get -20x + 24 and then you distribute and get -4(5x-6) as your answer

Find the length of the third side. If necessary, write in simplest radical form.

Answers

The length of the third size is 7.

a machine makes 36 trophies every hour. The machine makes trophies for 8 and a half hours each day, on 5 days of the week. The trophies are pack into boxes. Each box holds 8 trophies.
How many boxes are needed for all the trophies made each week?

Answers

Answer: 1530

Step-by-step explanation: First, you would want to calculate how many are made in one day. 36 trophies are made per hour, for 8 1/2 hours. 36 x 8.5(8 and a half) is 306, so in one day, 306 are made. Then, all you have left is to multiply it by 5, for five days, and that would be 1530. Hope This Helps.

A line that includes the point (5, –10) has a slope of 0. What is its equation in slope -intercept form?

Answers

Answer:

0

Step-by-step explanation:

Slope = (y-y1)/(x-x1)

0

Here is a scatterplot showing the relationship between the number of turnovers and the number of points scored for players in a recent NBA season. The correlation for these data is r = 0.92.

Interpret the correlation

Answers

Yes.There is a strong , positive association,so an increase in turnovers causes an increase in points for NBA players..

Given that,

This scatterplot illustrates the correlation between a player's turnover rate and their points scored during a recent NBA season. 3000 2500 2000 Points 1500 and  r= 0.92

r = 0.92 A strong positive (upward sloping) linear relationship

While a correlation of 0.10 would be a modest positive correlation, a correlation of 0.97 is a significant negative correlation.

Hence, Yes. Because there is a significant positive correlation, more turnovers result in more points for NBA players.

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use your knowledge of angle relationship to solve for X in the diagram below. By your solution by name in the geometric relationship.

Answers

Answer:

Solution

Here ,

5x +7 = 9x-63 (Corresponding angle)

or, 5x-9x =-63-7

or, -4x =-70

or, X=17.5

Hence the value of X is 17.5 degree.

compare adding and subtracting to multiplying and dividing bases with different exponents.​

Answers

Exponent rules for addition and subtraction are identical to one another. As a reminder, all terms' bases must be the same in order to remove terms with exponents. All terms' exponents must be equal.

Define exponents.

A number written as a superscript over another number is known as an exponent. In other words, it means that the base has been elevated to a particular level of power. Other names for the exponent are index and power. mn indicates that m has been multiplied by itself n times if m is a positive number and n is its exponent.

Given,

Adding and subtracting to multiplying and dividing bases with different exponents.​

Exponent rules for addition and subtraction are identical to one another. As a reminder, all terms' bases must be the same in order to remove terms with exponents. All terms' exponents must be equal.

The exponents and variables must match in order to add exponents. The exponents are left constant while the variable coefficients are added. The addition only includes terms with the same variables and powers. Exponents can be multiplied and divided according to this rule.

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Can you help me, please?

Answers

Answer: 19

Step-by-step explanation:

(3x-5)+2x=90
X=31
Add back the 31 in place of the x and u get 90

If an additional worker can produce an additional 20 units of output which can be sold for $4 per unit, what is the maximum wage that this perfectly competitive firm should pay to hire this worker?.

Answers

The maximum wage that this perfectly competitive firm should pay to hire this worker = $80

The options for this question

A) $80 minus the firm's profit markup

B) It depends on what the going wage rate is in the labor market.

C) $80

D) There is insufficient information to answer the question.

now, we need to find the maximum wage that this perfectly competitive firm should pay to hire this worker

given that

the additional worker can produce an additional 20 units of output and that can be sold for$4 per unit

maximum wage = additional units × sold per unit

                          = 20 × 4 = 80

the maximum wage = $80

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Find slope intercept form

Answers

Answer: y=x+4

Step-by-step explanation:

The formula for slope-intercept form is y=mx+b where

m is the slope and b is the y-intercept.

Formula for working out the slope: y2-y1/x2-x1

Put the values in the equation: 4-3/0-(-1). Answer is 1/1 which is 1.

y-intercept: put one of the x and y values from the graph into the equation y=mx+b. Here, I'm going to choose the point (0,4).

The equation is now 4=1(0) + b

Working out for equation:

4=0+b

4=b

The final equation is y=x+4.

You can also use the graph to help you find the y-intercept! First, look at the y-axis. Then the point that passes it is your y-intercept!(Remember it's the y value not the x)

The U.S. Bureau of the Census
predicted that the population of
Florida would be about 17.4 million in
2010 and then would increase by
about 0.22 million per year until 2015.
Which of the following linear models
predicts the population, y, of Florida
(in millions) in terms of x, the number
of years since 2010.
A. y = 17.4x + 0.22
B. y = -0.22x + 17.4
C. y = 0.22x + 17.4
D. y = -17.4x + 0.22

Answers

The linear model that predicts the population, y, of Florida (in millions) in terms of x, the number of years since 2010 is y = 17.4+0.22x.

According to the question,

We have the following information:

The U.S. Bureau of the Census predicted that the population of Florida would be about 17.4 million in 2010 and then would increase by about 0.22 million per year until 2015.

Now, y is the population.

So, we will have the total population in 2010 and 0.22 times the number of years.

So, the expression will be:

y = 17.4+0.22x

Hence, the correct option is C.

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The table below shows the number of hours the Carrera family has been driving and the number of miles they’ve driven. Which of the following equations best represents this relationship?
*
Captionless Image
y = 84x
y = 56x
y = 1.5x
Not here

Answers

The equation that best represents this relationship given in the table is y = 56x.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have a table below that shows the number of hours the Carrera family has been driving and the number of miles they’ve driven.  

We can find the slope of the line from the table as follows -

m = (168 - 84)/(3 - 1.5)

m = 56

Now, we can write -

y = 56x + c

84 = 56 x 1.5 + c

c = 0

So, the equation would be -

y = 56x

Therefore, the equation that best represents this relationship given in the table is y = 56x.

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five and five-sixths minus three and three-fourths plus two and one-half equals blank line.

Answers

35/6 - 15/4. 140/24. - 90/24. || 50/24 + 60/24 = 110/24 = 4 14/24 i think

Answer:

4 7/12

Step-by-step explanation:

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