Write an equation of the line that passes through the pair of points. (5/12, −1), (−3/4, 1/6)

Answers

Answer 1

The equation of the line can be written as y = -x - (7/12).

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is y-intercept.

Given that the line passes through  (5/12, −1) and (−3/4, 1/6). Therefore, the slope of the line can be written as,

Slope of the line = [(1/6) - (-1)] / [(-3/4) - (5/12)]

                            =  [(1/6) + 1] / [(-3/4) - (5/12)]

                            = (7/6) / [(-9-5)/12]

                            = (7/6) / (-14/12)

                            = -1

Now, the equation can be rewritten with slope and a point as,

y = mx + c

(1/6) = -1(-3/4) + C

(1/6) = (3/4) + C

C = (1/6) - (3/4)

C = (2/12) - (9/12)

C = (-7/12)

Therefore, the equation of the line can be written as,

y = mx + c

y = (-1)x + (-7/12)

y = -x - (7/12)

Hence, the equation of the line can be written as y = -x - (7/12).

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Related Questions

Suppose megan wants to run more sprints and laps. How many of each could she run so that her total sprints and total laps are in the ratio that the coach wanted?

Answers

Answer:

2

Step-by-step explanation:

An airplane cruises 1 kilometer in
1
12
of a minute. What is its cruising speed?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
kilometers per minute

Answers

Answer: It is 12 kilometers per minute

Step-by-step explanation:

in the problem that you'll need to simplify your answer and write it as a proper fraction, mixed number, or whole number so I can confirm this is 100% correct.

Step-by-step explanation:

In a clothing store, 50% of the customers buy a shirt, 30% of the customers
buy a pair of pants, and 15% of the customers buy both a shirt and a pair of
pants.
If a customer is chosen at random, what is the probability that he or she buys
a shirt or a pair of pants?
A. 0.20
B. 0.18
C. 0.65
D. 0.80

Answers

Answer:

.20

Step-by-step explanation:

because customers are always right

Apply the distributive property to simplify the expression


8(12x – 20)

Answers

I believe the answer must be 96x-160

Because we have to multiply 8x12 which is 96. and there is x next to it. so keep the x as it is.

and next to it is minus ( - ) sign so keep it as it is.

now we have to multiply 8x20 which is 160.

so if we write it together it will be:

so if we write it together it will be:96x - 160.

Thank you

help me with this you need to do associative property of addition, identity property of addition, associative property of multiplication, and identity of multiplication also tell what Properties are shown. due tomorrow morning​

Answers

Answer:

12 x 12

Step-by-step explanation:

(12+0)=12

(12 x 1)= 12

HELP PLEASE I NEED IT

Answers

Answer:=

Step-by-step explanation:

Determine the equation of the parabola that opens up, has vertex (7, 7), and a focal
diameter of 16.

Answers

Answer:

Step-by-step explanation:

Question: Determine the equation of the parabola that opens up, has vertex (7,7), and a focal diameter of 16 . This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

Answer: ((x2)−14x+87)/16

Step-by-step explanation:

  focal diameter = 16,

  4a=16;

  a=4.

(h,v)=(7,7-a)

==> (h,v)=(7,3)

the equation of the parabola =  ((x-7)^2)=16(y-3)

                                                => y = ((x^2)-14x+87)/16.

Find the Maclaurin series of the following functions. Step by Step Please

Answers

The Maclaurin series of xcos(-x) up to n = 3 is

[tex]m(x)= xcos(-x)= x-\frac{1}{2}x^3+\frac{1}{24}x^5-\frac{1}{720}x^7+\frac{1}{40320}x^9+\ldots \:[/tex]

The function is given in the question as

m(x) = xcos(-x)

Taylor (Maclaurin) series of xcos(x) up to n=5

A Maclaurin series is given by  f(x),

[tex]f\left(x\right)=f\left(a\right)+\frac{f^'\left(a\right)}{1!}\left(x-a\right)+\frac{f^{''}\left(a\right)}{2!}\left(x-a\right)^2+\frac{f^{'''}\left(a\right)}{3!}\left(x-a\right)^3+\ldots[/tex]

[tex]f\left(x\right)=f\left(0\right)+\frac{f^'\left(0\right)}{1!}\left(x\right)+\frac{f^{''}\left(0\right)}{2!}\left(x\right)^2+\frac{f^{'''}\left(0\right)}{3!}\left(x\right)^3+\ldots[/tex]

We need to do to get the desired polynomial is to calculate the derivatives, evaluate them at the given point, and plug the results into the given formula.

f⁽⁰⁾(x) = f(x) = xcos(x)

Evaluate the function at the point: f(0)=0

1st derivative: f(1)(x)=(f(0)(x))′=(xcos(x))′=−xsin(x)+cos(x)

1st derivative at the given point: (f(0))′=1

2nd derivative: f(2)(x)=(f(1)(x))′=(−xsin(x)+cos(x))′=−xcos(x)−2sin(x)

Evaluate the 2nd derivative at the given point: (f(0))′′=0

3rd derivative: f(3)(x)=(f(2)(x))′=(−xcos(x)−2sin(x))′=xsin(x)−3cos(x)

Evaluate the 3rd derivative at the given point: (f(0))′′′=−3

Now, use the calculated values to get a polynomial:

[tex]m(x)=0+\frac{1}{1!}x+\frac{0}{2!}x^2+\frac{-3}{3!}x^3+.....[/tex]

[tex]m(x)=x-\frac{1}{2}x^3+\frac{1}{24}x^5-\frac{1}{720}x^7+\frac{1}{40320}x^9+\ldots \:[/tex]

Thus, the Maclaurin series of xcos(-x) up to n = 3 is

[tex]m(x)= xcos(-x)= x-\frac{1}{2}x^3+\frac{1}{24}x^5-\frac{1}{720}x^7+\frac{1}{40320}x^9+\ldots \:[/tex]

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Please help!!!!
Write an equation in point-slope form that passes through the points (2, 4) and (-3, -6).

Answers

Answer:

uh let's see

Step-by-step explanation:

2,4 and -3,-6

y2-y1/

x2-x1

-6-4

-3-2

-10/-5 = 2

slope is 2

u do the rest I'm tired

If f(1)=7, f(5)=-3, f(11)=-9, g(7)=11, g(-3)=6 and g(-9)=1, then find g(f(11))

Answers

Answer:

1

Step-by-step explanation:

g(f(11))

It says in the problem that f(11) = -9

So:

g(-9)

It says again in the problem that g(-9) = 1

So the answer is 1

Solve for x. Leave your answer in simplest radical form.

Answers

Answer:

√122

Step-by-step explanation:

first we have to find the missing side with x on the 5 and 9 triangle by using the theorem


a^2+b^2=c^2

9^2+5^2=c^2

81+25=c^2

106=c^2

√106=c


and now we can use this as a side to find x

4^2+√106^2=x^2

16+106=x^2

122=x^2

√122=x

Hopes this helps please mark brainliest

50 points! Which expression is equivalent to 7(y - 4)? * 1 point
7y - 28
7y - 4
3y
7y - 3
I have to explain also!

Answers

The answer is 7y - 28. You use the distributive property. So you multiply 7 and y and multiply 7 and -4. Therefore the answer is 7y - 28

2 = x
3 26
How do i solve this equation

Answers

Answer:

do the butterfly method if you don't know how to do that comment and I'll show you a screenshot

You decide to buy a refurbished computer for $550.00 plus 6% sales tax. BB Electronics allow you to take out a no-interest loan for 12 months, and after that the interest rate is a 13.25% APR. You must make payments of $25/month, and if you miss one payment you are assessed a late fee of $29.00 plus 13.25% APR interest beginning from the date of purchase. How much is due the first month?

Answers

$25 due the first month

An airline passenger fell asleep halfway to her destination. When she awoke, the distance remaining was half the distance travelled while she slept. How much of the entire trip did she sleep?​

Answers

Answer:

1/4 of the trip

Step-by-step explanation:

The questions is asking what is 1/2 of 1/2 and that would b 1/4

What is the equation of the line that passes through the point (2,-6) and has a slope of -3?

Answers

Answer is y = -3x

Step by step

We can use point slope form to solve

y - y1 = m (x - x1)
Substitute your x and y and slope

y - -6 = -3 (x - 2)
Distribute

y + 6 = -3x + 6
Subtract 6 from both sides


y +6 -6 = -3x + 6 - 6
Combine

y = -3x is your answer

NEED ANSWERS ASAP PLEASE HELP!!! THE NUMBERS ARE THE QUESTION #

Answers

Area of the parallelogram is 882 square units

the solution of the inequality is plotted in the last number line

area o the glass window is 144π cm²

the second number line is the correct plot

the water left after the serving is 2 gallons 3 quart 1 pint

How to find the area of the parallelogram

Area of a parallelogram is given by the formula

= base *  height

= 63 * 14

= 882 square units

The solution of the number line is b/2 ≥  4

= b ≥  8

the last option is correct

Area of circle is solved by

= πd² / 4

= π * 24² / 4

= 144π cm²

The inequality 4 > -y

= -4 < y

The second option is correct

total fluid ounces used

= 68 * 4 = 272 ounces

272 ounces = 2.125gallons

5 - 2.125 = 2.825 gallons

2.875 gallons

0.875 gallons = 3.5 quart

2 gallons 3.5quart

0.5 quart = 1 pint

2 gallons 3 quart 1 pint

Water left in the cooler is 2 gallons 3 quart 1 pint

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5. Find the value of x. Round the length to the nearest tenth. 18 yd 309 2?. ​

Answers

By Trigonometric formula - Tan(∅) =  [tex]\frac{opposite}{adjacent}[/tex] , we got that answer - x= 10.4 yard (On rounding to tenth place)

what are trigonometric equations?

An equation containing one or more trigonometric ratios of unknown angles is known as a trigonometric equation. In terms of angles, it is written as ratios of the sine, cosine, tangent, secant, and cotangent angles. A trigonometric equation is, for instance, cos2 x + 5 sin x = 0.

For angle 30 degrees adjacent side is 18 yard and opposite side is x.

=>  Tan(∅) =  [tex]\frac{opposite}{adjacent}[/tex]

=>  Tan(30) = [tex]\frac{x}{18}[/tex]

=>  x=Tan 30 (18)

=>  x= 10.39

=>  x= 10.4 yard (On rounding to tenth place)

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A marching band needs to raise $13,500 for a trip to the Rose Bowl. The director told the band members that one-third of the amount that has been raised so far is equal to half of the amount that is still needed. How much more money needs to be raised for the trip?​

Answers

Answer: $5400

Step-by-step explanation:

x =  amount raised so far

13500 - x = amt. still needed

x/3 = (13500 - x)/2

2x = 3(13500 - x)

2x = 40500 - 3x

5x = 40500

x = 40500/5 = 8100 (amt. raised so far)

13500 - 8100 = 5400 (amt. still needed)

.............................

Answers

The answer is 1,200

First you need to add . + . to get 1.5M and then you need to subtract the rest ( 1.5M - one million four hundred ninety-eight thousand eight hundred )

So then you get 1,200

Hope this helped!

What is the range of the function f(x)=2x^3−3x for the domain {−1, 1, 2}?

Answers

The range of the function is {1,-1,10} for function f(x)=2x³−3x .

What is a function?

A relation is a function if it has only One y-value for each x-value.

In a function what can go into a function is called the Domain. What may possibly come out of a function is called the Codomain. What actually comes out of a function is called the Range.

The given function is f(x)=2x³−3x

The domain is {-1,1,2}

Now f(-1)=2(-1)³-3(-1)

=-2+3=1

f(1)=2(1)³-3(1)=2-3=-1

f(2)=2(2)³-3(2)=16-6=10

Hence, the range of the function is {1,-1,10} for  f(x)=2x³−3x .

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After adding the two equations to eliminate x you are left with 4y=-8. Solve for y: y =

Answers

Answer:  -2

Step-by-step explanation:

4y/4 = -8/4

     y = -2

Answer:

Step-by-step explanation:

Answer is -2

Find the probability of rolling a sum greater than 7 given that you rolled an odd number first.

Answers

Answer:

I think the answer is 1/2. Given the first die was odd, you rolled either a 1,3, or 5. Now on the second roll only a 6,4, or a 2 will give you a sum of 7. Given that is half of the sample space of the second die, it is 1/2?

Step-by-step explanation:

PLEASE IT DUE SOON!!! DONT EVEN KNOW WHERE TO START IM SO CONFUSED!!!

QUESTION DOWN BELOW!! ONLY HAVE 20MIN SO PLEASE SOMEONE!!

Answers

A test point which is in the solution set for the linear inequality is: C. (-2, 4).

How to determine the true test point?

In order to determine which ordered pairs is a true solution based on the given linear inequality, we would have to test each of the ordered pairs by substituting their values into the linear inequality as follows;

For ordered pair (-2, -4), we have:

2x - 9y < 0

2(-2) - 9(-4) < 0

-4 + 36 < 0

32 < 0 (False).

For ordered pair (-1, -5), we have:

2x - 9y < 0

2(-1) - 9(-5) < 0

-2 + 45 < 0

43 < 0 (False).

For ordered pair (-2, 4), we have:

2x - 9y < 0

2(-2) - 9(4) < 0

-4 - 36 < 0

-40 < 0 (True).

For ordered pair (-1, -1), we have:

2x - 9y < 0

2(-1) - 9(-1) < 0

-2 + 9 < 0

7 < 0 (False).

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Cuántos metros cuadrados mide la superficie de un salón de fiestas infantiles con forma de rombo cuyas diagonales miden 12 y 18 metros

Answers

The area of the rhombus is 108m²

Surface Area of Rhombus

The area of a rhombus can be defined as the amount of space enclosed by a rhombus in a two-dimensional space. A rhombus is a type of quadrilateral projected on a two dimensional (2D) plane, having four sides that are equal in length and are congruent.

The formula of a rhombus is given as

A = (d₁ * d₂) ÷ 2

where d₁ and d₂ are the diagonals

d₁ = 12m

d₂ = 18m

A = (12 * 18) / 2

A = 108m²

The area is 108 squared meter

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Translation: How many squared meters does the surface of a rhombus-shaped children's party room whose diagonals measure 12 and 18 meters?

The ratio of nitrogen to potassium in a sample of soil is 12:9. The sample has 36 units of nitrogen. How much potassium does the sample have?
Group of answer choices

48 units

21 units

27 units

33 units

Answers

Answer:

27 units

Step-by-step explanation:

12 over 4

36 over x

x = 27

linear equation

Answer:alt  account

Step-by-step explanation:

The vertex angle of an isosceles triangle measures
15 degrees more than one of its base angles. How
many degrees are there in a base angle of the
triangle?

Answers

The required three angle is 55 , 55 and 70

What is an angle ?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the term "angle" originates.

Let each of the base angle of isosceles triangle = x

Vertex angle = (x+15)

Sum of the angle = 180

x + x + (x + 15) = 180

3x + 15 = 180

3x = 180 - 15

x = 165 / 3

x = 55

Each base angel = 55

Vertex angle = x + 15

                      = 55 + 15

                      = 70

Required three angles = 55 , 55 and 70

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using a slope formula find the slope pf the line theough the points (0,0) and (2,6)

Answers

Step-by-step explanation:

slope formula: (y2-y1)/(x2-x1)

at the point (0,0), it is known that x=0 and y=0.at the point (2,6), it is known that x=2 and y=6.

slope: (6-0)/(2-0) =6/2 =3

rotate (2,-3) 270 degree counterclockwise around (1,-2) then translate (x-2,y+5)

Answers

The image point of the transformation is (-1, 6)

How to determine the image of the transformation?

The coordinate of the point is given as

(2, -3)

The transformations are given as

270 degree counterclockwise around (1,-2) Translation by (x-2,y+5)

The rotation is around the point (1,-2)

So, the point becomes

Point = (2 - 1, -3 + 2)

Evaluate

Point = (1, -1)

The 270 degrees rotation has the algebraic rule of its rotation to be changed from (x, y) to (-y, x) i.e.  (x, y) => (-y, x)

So, we have

(x, y) = (1, 1) after the rotation

The translation is given as

(x - 2, y + 5)

So, we have

(x, y) = (1 - 2, 1 + 5)

Evaluate

(x, y) = (-1, 6)

Hence, the coordinates of the image is (-1, 6)

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Select 3 correct and answer?

___ l

___ m

___ n

___ j

___ no lines are parallel

___ Corresponding Angles Converse

___ Alternate interior Angles Converse

___ Alternate Exterior Angles Converse

___ Consecutive interior Angles Converse

Answers

These sentences are correct among all the given sentences & in terms of a given diagram.

 Corresponding Angles Converse

 Alternate interior Angles Converse

 Alternate Exterior Angles Converse

What are the corresponding angles?

In geometry, corresponding sides and corresponding angles of polygons are compared as part of the tests for congruence and resemblance. In these tests, the order of adjacency is maintained by pairing each side and each angle of one polygon with a side or angle of the other polygon.

We have,

no lines are parallel

Corresponding Angles Converse

Alternate interior Angles Converse

Alternate Exterior Angles Converse

Consecutive interior Angles Converse

By considering the given diagram the correct sentences are:

 Corresponding Angles Converse

 Alternate interior Angles Converse

 Alternate Exterior Angles Converse

Hence, these sentences are correct among all the given sentences & in terms of a given diagram.

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Answer:

Line l is parallel to line n.

Alternate interior angle converse.

Step-by-step explanation:

Angles 8 and 19 are alternate interior angles of lines l and n cut by transversal k.

Since angles 8 and 19 are congruent, then by alternate interior angle converse, lines l and n are parallel.

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