What is an equation of the line that passes through the points (-4, -3) and (8, 6)?

The required equation of line in standard form that passes through the point (6,-1) and is perpendicular to the line represented by 8x + 3y = 1 is

y = (3/8)x - 13/4

How to find equation of line if one point and equation of perpendicular line is given?

To find the equation of line which is perpendicular to another line

According to the given question:

Let the required equation of line be y = mx + b

where m is the slope of line and b is the y-intercept

Now, 8x + 3y = 1 is perpendicular to the line. Hence, the slopes of both line will satisfy m₁. m₂ = -1

Standard form of the given line is

y = (-8/3)x + 1/3

∴ m₁ = -8/3

Finding m₂, (-8/3). m₂ = -1

∴ m₂ = 3/8 ------ (1)

Using the given point (6, -1) to find y-intercept in the equation

y = (3/8)x + b

-1 = (3/8)(6) + b

∴ b = -13/4

Therefore the required equation of line in standard form is

y = (3/8)x - 13/4

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The length of the base when the height is 6 cm is 21 cm .

In the question ,

it is given that ,

the length of the base(b) of the triangle varies inversely with the height(h) ,

which is represented as

b ∝ 1/h

b = k/h

where k is the constant of variation

given that when b = 18 , h is = 7

18 = k/7

k = 18 × 7

k = 126

Substituting , the value of k = 126  in the equation b = k/h  ,

we get ,

b = 126/h

So, the length of the Base When h = 6,

b = 126/6

b = 21

Therefore, the length of the base when the height is 6 cm is 21 cm .

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Answer:

Step-by-step explanation:

Let y be the distance the car travels, in miles.  Let t be the time traveled, in hours.  The speed is 45 m/h.  We know that the distance the car travels is given by the equation:

Distance = (speed)*(time)

Using the assigned variables, we can rewrite this as:

   d(t)  = (45 m/h)(t hours)

We want an equation that will tell us the position of the car, y, at any time, t, including t = 0, the start.  

d(t) = ?

At time = 0, the starting point of the car is P.  We can write:

d(0) = P

For x[tex]\geq[/tex]0, we would find the car at:

     d(t) = P + (45)*t

The 45 is in units of miles/hour,  t is in hours and d is in miles.  Let's assume an intital position, P, for this car to be 10 miles.  P = 10 miles.

The function is:  d(t) = 10 + (45)*t

If we leave the units in, it can be written as:  d(t) = (10 miles) + (45 miles/hr)*t(in hr)

We can see that the term "(45 miles/hr)*t(in hr)" will eventually reduce to just miles one we enter the time in hours, since the hours cancel out.

The graph of this function is attached.   The line crosses the y axis at 10 (miles) when time, t, is 0 : the car has not started.  

The slope of the graph can be determined by calculating the Rise/Run of the line.  Pick any two points.  I'll choose:  (2,100) and (4,190).

 Rise (change in y) is (190-100) = 90

 Run (change in x) is (4 - 2) = 2

Slope = Rise/Run = (90/2) or 45.

The slope has the same value as the speed, as it should.  The slope is telling us the rate of change, which for this graph, is the speed of the car.  The y-intersect is (0, 10).  The car is at 10 miles at the start (t=0).

To create a scenario where could have a negative value requires some imagination.  There is really no such thing as negative time, except in time travel movies.  But we can define t, perhaps, as the start of a race.  (High noon, for example).  If the cars were allowed to start moving before noon as long as they started back (negative direction) from the starting point of the race.  If t is defined as "hours after 12:00 noon" then a value of t = -1  means 11:00 AM.  If the car were approaching the staring line at 45 miles/hour, ahread of the official start time, the graph would make sense.  Not the race, so much, but the graph would be accurate.

Using a translation, the graph of the function f(x) = x² + 3 is given by the image at the end of the answer.

Among the many transformations that a function or a figure can undergo is a translation, and other examples are reflections, rotations and dilation.

The difference of a translation from these other transformations is that the only thing that changes for the function is the position. The inclination, orientation and length all remains constant.

The four possible types of a translation are given as follows:

The parent function in this problem is given as follows:

f(x) = x².

Which has the U format of a parabola and a vertex at the origin (3,3).

The translated function is given as follows:

g(x) = x² + 3.

The addition by 3 means that the function was translated up 3 units, as shown in the image given at the end of the answer.

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The coordinates of the image of vertex after a reflection of r x-axias (x,y) is (x, -y).

To get the coordinates of a point reflected on the x - axis, some important rules be considered here:

1. The x - coordinate of the reflected point is the same as the x - coordinate of the original point.

2. The y - coordinate of reflected point has opposite sign of y-coordinate of original point.

Example:

(1,9) when reflected on the x - axis it will be (1,-9).

Therefore the  coordinates of the image of vertex after a reflection of r x-axias (x,y) is (x, -y).

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Answer:

Theres nothing to see?

Step-by-step explanation:

Answer:

First is one value of x

Second is no values of x

Third is all values of x

Step-by-step explanation:

Please give brainliest!

The expression that equals 2B+C in standard form is 4x² + 6

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

B = x² + 2

C = 2 + 2x²

The expression to calculate is given as

2B + C

Substitute the known values in the above equation, so, we have the following representation

2B + C = 2x² + 4 + 2 + 2x²

Evaluate the like terms

2B + C = 4x² + 6

Hence, the expression is 4x² + 6

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The statement that best analyzes the role this event plays in The Necklace plot is A. It leads to the resolution where Mathilde learns (a little too late) a lesson about the downfall that can come from vanity and greed.

There are both planned and unplanned events, and the start and end times may be noted. Event types include accidents, celebrations, natural disasters, and rallies. The event is the occurrence of the event.

Loisel is well-liked and adored by all. As she walks away, she searches for the pendant and discovers it has gone missing. After days of searching, she and her husband decide to replace it with something similar. It takes her ten decades to pay for the successor, which costs the same as your salary.

In this case, it best analyzes the role this event plays in leading to the resolution where Mathilde learns a lesson about the downfall that can come from vanity and greed The plot of The Necklace.

Therefore, the correct option is A.

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Complete question

Which statement best analyzes the role this event plays in The Necklace plot?

“Oh, my poor Mathilde! Why, my necklace was paste! It was worth at most only five hundred francs!”

It leads to the resolution where Mathilde learns (a little too late) a lesson about the downfall that can come from vanity and greed.

It is the climax of the story since the reader is most excited at this point.

It serves as a complicating incident because Mathilde will have to suffer the consequences of her actions.

It serves as the falling action because it shows that Mathilde will have to get used to her place in life.

The number of pennies they lose altogether is 288 pennies.

How to find the number of pennies they lost together?

Together, Katya and Mimi have 480 pennies in their piggy banks.

Therefore, there total amount of pennies is 480.

After Katya loses 1/2 of her pennies and Mimi loses 2/3 of her pennies, they have an equal number of pennies left.

Therefore,

let

x = number of pennies Katya have

y = number of pennies Mimi have

Hence,

x + y = 480

x = 480

Katya pennies left = x - 1 / 2x = 1 / 2x

Mimi pennies left = y - 2 / 3 y = 1 / 3 y

1 / 2 x  = 1 / 3 y

2y = 3x

y = 3  / 2 x

Substitute the value in equation(i)

x + 3 / 2 x  = 480

2.5x = 480

x = 480 / 2.5

x = 192

Therefore,

192 + y = 480

y = 480 - 192

y = 288

The number of pennies they lose can be calculated as follows;

Katya losses = 1 / 2 × 192 = 96

Mimi losses = 2 / 3 × 288  = 192

Therefore, they lost 96 + 192 = 288 pennies altogether.

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Answer:

  14 square units

Step-by-step explanation:

You want the area of the triangle whose vertices are the points A(-11, 4), B(-7, 8), C(-4, 4).

The area of a triangle is given by the formula ...

  A = 1/2bh

where b is the base of the triangle, and h is the height, the1 perpendicular distance to the opposite vertex.

The diagram shows one side is the horizontal line AC. The length of that is the difference of the x-coordinates of the end points:

  b = -4 -(-11) = 7

The opposite vertex, B, has a y-coordinate of 8, so the height of the triangle is ...

  h = 8 -4 = 4

We now have the information we need to use the area formula:

  A = 1/2(7)(4) = 14 . . . . square units

The area of ∆ABC is 14 square units.

__

Additional comment

You can use the diagram and count grid squares to find the dimensions of the triangle.

The equation to represent the expression is C ( b ) = 2.25b , where C ( b ) is the cost of b number of chocolate bars

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of b chocolate bars be = C

Let the cost of 1 bar of chocolate bar be = $ 2.25

Let the number of chocolate bar be = b

Now , the equation to find the cost of b number of chocolate bars is ,

The cost of b number of chocolate bar =
cost of 1 bar of chocolate bar x number of chocolate bar

So , the equation is

The cost of b number of chocolate bar = 2.25b

So , the equation to find the cost of b number of chocolate bars is ,

Cost of b chocolate bars C = cost of b number of chocolate bar

C ( b ) = 2.25b

Therefore , the expression is C ( b ) = 2.25b

Hence , The equation to represent the expression is C ( b ) = 2.25b , where C ( b ) is the cost of b number of chocolate bars

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Step-by-step explanation:

Angel side angle rule (ASA)

In longhand notation, the electron configuration is

1s² 2s² 2p6 3s¹

Noble gas configuration

[ Ne ] 3s¹

Complete question:

Choose the electron configuration for sodium (Na) in both longhand notation and noble-gas notation.

What is electron configuration?

The arrangement of electrons in atomic or molecular orbitals of an atom, molecule, or other physical structure is referred to as the electron configuration in atomic physics and quantum chemistry.

In longhand notation, the electron configuration is

1s² 2s² 2p^6 3s¹

Noble gas configuration

[ Ne ] 3s¹

Here, the configuration 1s² 2s² 2p^6 is replaced by [ Ne ].

[ Ne ] represents the electron configuration of [ Ne ].

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Answer:

D) [Ne]3s1

☆
EDGE2023; Good Luck :D!!!

This type of calculation will not give the accurate values and hence, it is not useful to do calculation without taking absolute values.

We are asked that, what would happen if you did not take absolute values before calculating the sum of differences between group means.

As, when we calculate the differences between group means then, some of the values may be negative.

When we add those negative values while evaluating the sum then the sum can be less than the absolute and to get over from this type of problem we always take absolute values of the differences between group means and then get the sum.

Also, this type of calculation will not give the accurate values and hence, it is not useful to do calculation without taking absolute values.

Hence, this type of calculation will not give the accurate values and hence, it is not useful to do calculation without taking absolute values.

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Answer:

36

Step-by-step explanation:

The perimeter of ABCDE is equal to AB + BC + CD + DE + AE.

AB = 10 - 2 = 8 (The x values of A and B are the same, therefore the distance between them is the difference between their y values.)

BC = 7 - 4 = 3 (The y values of B and C are the same, therefore the distance between them is the difference between their x values.)

CD =  [tex]\sqrt{(X_D - X_C)^2 + (Y_D - Y_c)^2} = \sqrt{(15 - 7)^2 + (4 - 10)^2} = \sqrt{8^2 + (-6)^2} = \sqrt{64 + 36} = \sqrt{100} = 10[/tex]

DE = [tex]\sqrt{(X_E - X_D)^2 + (Y_E - Y_D)^2} = \sqrt{(7 - 15)^2 + (-2 - 4)^2} = \sqrt{(-8)^2 + (-6)^2} = \sqrt{64 + 36} = \sqrt{100} = 10[/tex]

AE =

[tex]\sqrt{(X_E - X_A)^2 + (Y_E - Y_A)^2} = \sqrt{(7 - 4)^2 + (-2 - 2)^2} = \sqrt{3^2 + (-4)^2} = \sqrt{9 + 16} = \sqrt{25} = 5[/tex]

[tex]\Delta \text{ABCDE} = \text{AB} + \text{BC} + \text{CD} + \text{DE} + \text{AE} = 8 + 3 + 10 + 10 + 5 = 36[/tex]

Answer: 600$

Step-by-step explanation:

2/5 of 600 is 240

Answer:

WITDTH=7

Step-by-step explanation:

width = w

length = w + 2.

w(w + 2) = 63 (area)

quadratic equation in w:

w2 + 2w = 63

w2 + 2w - 63 = 0

FACTOR:

(w + 9)(w - 7) = 0

  9-7=2

   9x(-7) = -63

Two possible solutions:

w + 9 = 0 (solution w = -9) or

w - 7 = 0 (solution w = 7)

The width must be positive, the answer is 7 units.

length = w+2

length  = 9

Answer:

[tex]^4\sqrt{2}[/tex]

Answer: Option C

Step-by-step explanation: just took the test.

Answer: $5.14

Step-by-step explanation:

divide $539.70 by 105 to get the answer

so 539.70 divide by 105 is 5.14

step1 get rid of the decimal but you will ad it later so

53970

/   105

=514

step2 move the decimal 2 places to the left.

The correct answer to this question is d. the value of the 6 in 364 is 10 times the value of the 6 in 346.

The place value of the 6 in 346 is six because it is in the place of ones, whereas the place value of the sixth in 364 is 60 because it is in the place of tens. As a result, the value of 60 is ten times that of the value of 6.

The value of each digit in a number is known as place value. Every digit in a number has a distinct value depending on where it is located. The value of a digit depends on its position in the number, which can result in a number having two similar digits with different values.

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Answer:

4.76

Step-by-step explanation:

had this on a test today!

Step-by-step explanation:

x + y = 17

x = 17 - y

xy = 20

(17 - y)y = 20

-y² + 17y = 20

-y² + 17y - 20 = 0

the general solution to such a quadratic equation

ax² + bx + c = 0

is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

y = (-17 ± sqrt(17² - 4×-1×-20))/(2×-1) =

= (-17 ± sqrt(289 - 80))/-2 =

= (-17 ± sqrt(209))/-2

y1 = (-17 + sqrt(209))/-2 = 1.271583853...

y2 = (-17 - sqrt(209))/-2 = 15.72841615...

the 2 numbers are

1.271583853...

15.72841615...

The radius of the given circle is 7.5 units.

So, use the Pythagorean theorem:

Now, calculate as follows:

So, the diameter is 15 units.

Then the radius is:

Therefore, the radius of the given circle is 7.5 units.

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The conflict style they used is Collaboration.

Given, that Nikolai wants to take Thomas to a Vietnamese Restaurant (which serves generous portions of inexpensive but delicious food), and Teresa wants to take Thomas to a French restaurant (which serves expensive and beautifully presented food)

To resolve the issue, they decide to flip a coin.

If Nikolai wins the coin toss they will take Thomas to the Vietnamese restaurant and the next time a friend of theirs has a birthday they will take her or him to the French restaurant Teresa likes and If Teresa wins the coin toss, they will go to the French restaurant first and the Vietnamese restaurant later.

Here, we can see that this is a win-win situation as both can go to their favorite restaurant.

So, the conflict style they used is Collaboration. As, Collaboration generates solutions that satisfy both the parties’ needs.

Hence, the conflict style they used is Collaboration.

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The probability that in any given period of 400 days there will be an accident on one day is 0.2707

Given that;

In a certain industrial facility, accidents occur infrequently. it is known that the probability of an accident on any given day is 0.005 and accidents are independent of each other.

n = 400, p = 0.005

Poisson distribution is given by;

e P(x) = (λˣe^λ ) / x!

Here, Mean(λ) = np

                        = 400*0.005

                        =2

The probability that there will be an accident on one day;

(P(x = 1)) = (λxe-λ)/x!

             = 2*e-2

             = 0.2707

The probability that in any given period of 400 days there will be an accident on one day is 0.2707

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Answer:

Zyndy is 14, Vyndel is 7.

Step-by-step explanation:

Let Zyndy's age be represented by 'z', and Vyndel's age be represented by 'v'.

Zyndy is twice the age of Vyndel, so z=2v

The sum of their age is twenty-one, so z+v=21

Sub the first equation above into the second to get:

2v+v=21

3v=21

v=7

Knowing v=7, we can say z=2(v)=14.

If LR equals 12 and PR equals 4, then: LP = 8 because LP + PR = LR according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution.

The Segment Addition Postulate states that when there are two endpoints on a line segment (L) and (C), a third point (P) would lie on the line segment (LR), if and only if the magnitude of the distances between the endpoints satisfy the requirements of this equation LP + PR = LR.

This ultimately implies that, the Segment Addition Postulate is only applicable on a line segment that contains three collinear points.

By applying the Segment Addition Postulate to the given endpoints, the value of LP is given by:

LP + PR = LR

LP = LR - PR

Substituting the given parameters into the formula, we have;

LP = 12 - 4

LP = 8.

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Complete Question:

Larissa is standing at point L. Pj is standing at point P and Raelynn is standing at points are on segment LR as shown in the figure If LR equals 12 and PR equals 4, find LP. explain

LP = 16 because 12 + 4 = 16 according to the addition property of equality.

LP = 8 because 12 - 4 = 8 according to the subtraction property of equality.

PR = 16 because LR + LP = PR according to the Segment Addition Postulate, and 12 + 4 = 16 using substitution.

PR = 8 because LP + PR = LR according to the Segment Addition Postulate, and 8 + 4 = 12 using substitution.

Answer: Lp = 8

Step-by-step explanation:

Got it right

Using the simple interest formula, Mr. Solo received $26 interest.

In the given question we have to find how much interest Mr. Solo received.

The investment(P) = $325.

Interest rate(R) = 8%

Time(T) = 1 year

Finding the interest using the simple interest formula.

I = PRT/100

where I = interest

P = Principal Amount

T = Time

R = Interest Rate

Putting the value

I = 325*8*1/100

I = 26

Hence, Mr. Solo received $26 interest.

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The confidence interval estimate for the mean of the population at 95% is [$282.70, $317.30].

Confidence interval is defined as the range of values where a parameter might fall at a given confidence level. It can be calculated using the formula below.

CI = μ ± z x (SD / √n)

where CI = confidence interval

μ = sample mean

z = found by using a z-score table

SD = sample standard deviation

n = sample size

At 95% confidence level, the area in each tail of the standard normal curve is 2.5, and the cumulative area up to the second tail is 97.5.

(100 - 95) / 2 = 2.5

100 - 2.5 = 97.5

Find 0.975 in the z-table to get the value of z.

At p = 0.95, z = 1.96

Plug in the values and solve for the confidence interval.

CI = μ ± z x (SD / √n)

CI = 300 ± 1.96 x (45 / √26)

CI = 300 ± 17.30

CI = [$282.70, $317.30]

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