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

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

The area of the rhombus is 108m²

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?

Answer:

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

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

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:

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

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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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)

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:

Answer:

.20

Step-by-step explanation:

because customers are always right

Answer:  -2

Step-by-step explanation:

4y/4 = -8/4

     y = -2

Answer:

Step-by-step explanation:

Answer is -2

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!

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.

Answer:

27 units

Step-by-step explanation:

12 over 4

36 over x

x = 27

linear equation

Answer:alt  account

Step-by-step explanation:

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

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

Step-by-step explanation:

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

The coordinate of the point is given as

(2, -3)

The transformations are given as

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

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

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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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

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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Answer:

2

Step-by-step explanation:

Answer:=

Step-by-step explanation:

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

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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Answer:

12 x 12

Step-by-step explanation:

(12+0)=12

(12 x 1)= 12

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.