Use the following diagram to answer Parts A and B. A(-6,5) B (-6,1) (-2,1 (2.1) (6.1) (6,5) A' Part A: Identify the transformation that took triangle ABC to triangle A'B'C'. Part B: If the same transformation was applied to point J(5, -4), what are the coordinates for J'? Edit View Insert Format Tools Table 12pt Paragraph I BIU 2T²00​

Answer:

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The two given angles form a linear pair.

Sum of the two angles is 180°, set equation and solve for e:

P, Q, V, and K are collinear, the distance VP=214

Given :

P, Q, V, and K are collinear with V between K and P, and Q between V and K

Make a diagram using the above given information

\(VP = 14x + 4, \\PK = x + 630, \\VQ = 17x + 6, \\and KQ = 11x + 5\)

The diagram is attached below

From the diagram we can see that ,

\(PK=VP+VQ+KQ\\Replace \; the \; expressions\\x+630=14x+4+17x+6+11x+5\)

Solve the equation for x

\(x+630=14x+4+17x+6+11x+5\\x+630=14x+17x+11x+4+6+5\\combine \; like \; terms\\x+630=42x+15\\x=42x+15-630\\x=42x-615\\x-42x=-615\\-41x=-615\\divide\; by \; -41\\x=15\)

so , the value of x is 15

We know that VP=14x+4

Replace 15 for x  to solve for VP

\(VP=14x+4\\VP=14(15)+4\\VP=214\)

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See below for the solution to each expression

Expression 1

The expression is given as:

(x-y)(y-z)(x+z)/(2x^2+4yz+6)

Expand the numerator

(x^2 - y^2 -xz + yz)(x + z)/(2x^2+4yz+6)

Further, expand the numerator

(x^3 - xy^2 - x^2z + xyz + x^2z - y^2z - xz^2 + yz^2)/(2x^2+4yz+6)

Evaluate the like terms

(x^3 - xy^2  + xyz - y^2z - xz^2 + yz^2)/(2x^2+4yz+6)

Hence, the equivalent expression of (x-y)(y-z)(x+z)/(2x^2+4yz+6) is (x^3 - xy^2  + xyz - y^2z - xz^2 + yz^2)/(2x^2+4yz+6)

Expression 2

The expression is given as:

4(x+y)(x-y)(y-x)

Apply the difference of two squares

4(x^2 - y^2)(y - x)

Expand the expressions in the brackets

4(x^2y - x^3 - y^3 + xy^2)

Open the bracket

4x^2y - 4x^3 - 4y^3 + 4xy^2

Hence, the equivalent expression of 4(x+y)(x-y)(y-x) is 4x^2y - 4x^3 - 4y^3 + 4xy^2

Expression 3

The expression is given as:

(√25+√9/2) + √21675

Take the square roots of 25, 9 and 21675

(5 +3/2) + 5√867

Evaluate the sum

13/2 + 5√867

Hence, the equivalent expression of (√25+√9/2) + √21675 is 13/2 + 5√867

Expression 4

The expression is given as:

(9x^2+3x+27)(3+6y)(4+6y) /1+2a+38+4c+2000z

Factor out 3 and 2 from the numerator

3(3x^2 +x + 9) * 3(1 + 2y) * 2(2 + 3y)/1+2a+38+4c+2000z

This gives

18(3x^2 +x + 9)(1 + 2y)(2 + 3y)/1+2a+38+4c+2000z

The expression cannot be further simplified.

Hence, the equivalent expression of (9x^2+3x+27)(3+6y)(4+6y) /1+2a+38+4c+2000z is 18(3x^2 +x + 9)(1 + 2y)(2 + 3y)/1+2a+38+4c+2000z

Expression 5

The expression is given as:

(x^2+6x+5)/(x+2)(x+6)

Factorize the numerator

(x + 1)(x + 5)/(x + 2)(x + 6)

Hence, the equivalent expression of (x^2+6x+5)/(x+2)(x+6) is (x + 1)(x + 5)/(x + 2)(x + 6)

Expression 6

6) (xy/m) + (xm/y) - (m/x) = 63

Factor out x

x(y/m + m/y) - m/x = 63

Evaluate the sum

x(y^2 + m^2)/y - m/x = 63

Multiply through by xy

x^2(y^2 + m^2) - my = 63xy

Add my to both sides

x^2(y^2 + m^2)  = 63xy + my

The above implies that the variable x cannot be isolated from the equation

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The range of the data on the boxplot is 12

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

The box plot

The range is calcilated as

Range = Maximum - Minimum

From the plot, we have

Maximum = 12

Minimum = 0

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

Range = 12 - 0

Evaluate

Range = 12

Hence, the range is 12

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One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.

Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.

Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.

By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.

With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.

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6/35

hope it helps...!!!

Answer:

(2/7) x (3/5)=  fraction form: 6/35   decimal form: 0.1714285

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the third interior angle be x

Since it's a triangle , all it's interior angles sum up to 180°

To find the third interior angle , add up the two of the equivalent angles that's 34 and subtract it from 180

We have

x + 34 + 34 = 180

x + 68 = 180

x = 180 - 68

We have the final answer as

Hope this helps you

Answer:

The Answer To This Question Would Be 116

Step-by-step explanation:

Step One. 34 + 34 = 68

Since Two Of The Angles Are Each 34 Degrees We Want To Add Them Both Up That Way We Get 68 Which Leads To Another Step To Find The Measure Of The Third Interior Angle.

Step Two. 180 - 68 = 116

We Got 180 Because Every Triangle No Matter What Type It Is It Will Always Equal To 180 Degrees.

With That Being Said, The Answer To This Is 116.

I Hoped I Helped You Today, Have A Amazing Day (:

Answer:

6 possible outcomes

Step-by-step explanation:

To solve this problem, we have to make use of the Fundamental Counting Principle formula.

The formula counting principle states that when we are given two or more distinct events, in order to get the total number of possible outcomes, we multiply such events together.

In the above question, we are given two events.

Event 1

3 varieties of cheese: Cheddar, Gouda, and Swiss.

Event 2

2 styles of cheese: Shredded and Sliced

The possible outcomes for the variety and style of cheese = Event 1 × Event 2

= 3 × 2

6 possible outcomes.

These 6 Possible outcomes are listed below:

1) Cheddar cheese , Shredded

2) Cheddar cheese , Sliced

3) Gouda cheese , Shredded

4) Gouda cheese , Sliced

5) Swiss cheese , Shredded

6) Swiss cheese , Sliced

The volume of her gold ring in cubic centimeters will be 12.6 cubic centimeters.

Let the prism with a length of L, a width of W, and a height of H.

a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases.

Then the volume of the prism is given as

V = L x W x H

She gets a rectangular glass with a base of 7 cm by 4.5 cm and fills the glass 8.8 cm high with water.

Laura drops her gold ring into the glass and measures the new height of the water to be 9.2 cm.

Then the volume of her gold ring in cubic centimeters will be

V = 7 × 4.5 ×(9.2 - 8.8)

V = 7 × 4.5 × 0.4

V = 12.6 cubic centimeters

The volume of her gold ring in cubic centimeters will be 12.6 cubic centimeters.

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The volume V of solid S is e - 1 cubic unit.

What is Volume?

Volume refers to the measure of three-dimensional space occupied by an object or a region. It quantifies the amount of space enclosed by the boundaries of an object or contained within a given region. In mathematical terms, volume is often calculated by integrating the cross-sectional areas of the object or region along a particular axis. Volume is typically expressed in cubic units, such as cubic meters (m^3) or cubic centimeters (cm^3). It is an essential concept in geometry, physics, engineering, and other scientific fields where the measurement of three-dimensional space is involved.

To find the volume of solid S, we need to integrate the areas of the cross sections perpendicular to the x-axis along the interval \([e, \infty).\)

The area of each square cross-section is equal to the square of the side length, which in this case is \(y = \sqrt{\ln(x)}.\)

Therefore, the volume V of solid S can be calculated as:

\(V = \int_{e}^{\infty} (\sqrt{\ln(x)})^2 dx\)

To evaluate this integral, we can simplify the expression:

\(V = \int_{e}^{\infty} \ln(x) dx\)

Using integration by parts, we let \(u = \ln(x)\)and dv = dx:

\(du = \frac{1}{x} dx\\v = x\)

Applying the integration by parts formula:

\(V = [uv] - \int v du= [x \ln(x)] - \int x \left(\frac{1}{x}\right) dx= x \ln(x) - \int dx= x \ln(x) - x + C\)

Evaluating the definite integral:

\(V = [x \ln(x) - x]_{e}^{\infty}= (\infty \cdot \ln(\infty) - \infty) - (e \cdot \ln(e) - e)= \infty - 0 - (1 - e)= e - 1\)

Therefore, the volume V of solid S is e - 1 cubic unit.

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Answer:

6n + 3 - 3 = 9 - 3

6n = 6

n = 1

Step-by-step explanation:

Answer:

step one: subtract 3 on both sides 6n=6

then divide 6 on both sides n=1

Answer:

$1605

Step-by-step explanation:

1500 ⋅ 0.07 = 105

Add 105 to 1500

$1605

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Answer:

9/34

Step-by-step explanation:

I find when multiplying fractions, its easier to separate them into the numerator and denominator.

So we have 12 x 3, and 17 x 8

12 x 3 = 36

17 x 8 = 136

So we have 36/136

Simplified, that is 9/34

Answer:A

Step-by-step explanation:

Answer:

Is this what you need? Also slope = 10/1 and y intercpet = -1

Step-by-step explanation:

The robot moves in the positive direction along a straight line so that after t minutes its distance is s=6t^4 feet from the origin. (a) Find the average velocity of the robot over intervals 2, 4. We have the following data: Initial time, t₁ = 2 min.

Final time, t₂ = 4 min.The distance from the origin is given by s = 6t^4Therefore, s₁ = s(2) = 6(2^4) = 6(16) = 96 feet s₂ = s(4) = 6(4^4) = 6(256) = 1536 feet

We can find the average velocity of the robot over the interval 2, 4 as follows: Average velocity = (s₂ - s₁) / (t₂ - t₁)Average velocity = (1536 - 96) / (4 - 2)Average velocity = 1440 / 2Average velocity = 720 feet per minute(b) Find the instantaneous velocity at t=2.To find the instantaneous velocity at t = 2 min, we need to take the derivative of the distance function with respect to time. We have the distance function as:s = 6t^4 Taking derivative of s with respect to t gives the velocity function:v = ds / dt Therefore,v = 24t³At t = 2, the instantaneous velocity is:v(2) = 24(2)³v(2) = 24(8)v(2) = 192 feet per minute Therefore, the instantaneous velocity at t = 2 min is 192 feet per minute.

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Answer:

they got -21 when they were supposted to get +21

and they also got +6x when they were supposted to get -6x

Step-by-step explanation:

that's because -3 and 2x are multiplied together and when you are multiplying negative and positive number you need to get negative result.

when you are multiplying negative with negative number, you will get positive number.

The equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100. Option C is correct.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Amount of ammonia in the solution 16%  x 22 gallons  =  3.52 gallons

The proportion of ammonia remains the same as the water evaporates, but the total composition of the solution is decreased by the amount of water that evaporates.

Quantity of ammonia = 3.52 gallons

Quantity of water after evaporation = 22 - n

Composition of ammonia after evaporation of water, 24% = 24/100

Now the percentage of ammonia after evaporates
Quantity of ammonia / Remaining water = 24%
3.52 / (22 - n) = 24 / 100

Thus, the equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100.

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Answer:

A. 216cm²

Step-by-step explanation:

Area of triangle

(12 × 8) / 2 = 48

Area of rectangle

14 × 12 = 168

168 + 48 = 216

The subset s defined by b in the group g of upper triangular real matrices is not a subgroup.

We cannot determine if it is a normal subgroup or identify the quotient group g/s.

To determine if s is a subgroup, we need to check if it satisfies the subgroup criteria.

First, we need to ensure that the identity element of g, which is the matrix with a = 1, b = 0, and d = 1, is also in s.

Since b = 0 in the identity element, it is indeed in s.

Next, we need to check closure under multiplication.

If we multiply two matrices in s, the resulting matrix will have a nonzero b value, which means it won't be in s.

Therefore, s is not closed under multiplication and is not a subgroup.

Since s is not a subgroup, we cannot determine whether it is a normal subgroup or identify the quotient group g/s.

In summary, the subset s defined by b in the group g of upper triangular real matrices is not a subgroup.

We cannot determine if it is a normal subgroup or identify the quotient group g/s.

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Answer: 2

Step-by-step explanation:

2.5(6x-4)=10+4(1.5+0.5x) [Work out the brackets]

15x-10=0+6+2x [Solve]

15x-10=16+2x [Convey the terms]

15x-2x=16+10 [Add up the same terms and calculate]

13x=26 [Divide both parts]

x=2

Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

2.5(6x - 4) = 10 + 4(1.5 + 0.5x)

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 20 does indeed equal 20.

∴ x = 2 is a solution of the equation.

Answer:

Domain:(−∞,∞),{x|x∈R}(-∞,∞),{x|x∈ℝ}

Range:{−377}

Step-by-step explanation:

Answer:

C 20.10^4and 6.10^5 use desmos to help you solve

Answer:

little falls has more

Step-by-step explanation:

show your work: little falls total rainfall is 1 6/8 and riverside is 1 5/8

use that to explain :) your welcome

Answer:

  Riverside had the greatest rainfall total

Step-by-step explanation:

The total amount of rain in a city will be the sum of products of rain amount and days that got that amount. The city with the largest sum got the most rain. The difference in rainfall can be found by subtracting the lesser amount from the greater.

__

Total rainfall in Riverside was ...

  (1/8)×1 +(2/8)×3 +(3/8)×3 +(4/8)×1 +(5/8)×1

  = (1 +6 +9 +4 +5)/8 = 25/8 = 3 1/8 . . . . inches

__

Total rainfall in Little Falls was ...

  (1/8)×1 +(3/8)×1 +(4/8)×1 +(6/8)×2

  = (1 +3 +4 +12)/8 = 20/8 = 2 1/2 . . . . inches

__

Riverside had more rainfall, because 3 1/8 is more than 2 1/2.

__

You can "cancel" dots that are in the same place on each plot. Doing so leaves Riverside with 3 dots at 2/8, 2 dots at 3/8, and 1 dot at 5/8. The remaining dots on the Little Falls plot are the 2 dots at 6/8.

The 3 dots at 2/8 add up to 6/8, as do the 2 dots at 3/8 on the Riverside plot. These two 6/8 values cancel the two 6/8 dots on the Little Falls plot. That leaves one uncancelled dot at 5/8 on the Riverside plot, indicating more rain fell at Riverside.

The number  0.515115111511115111115... is a irrational number .

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example, −3/7 is a rational number,

Rational numbers are finite and repeating decimals

0.888888 is a rational number because it is recurring in nature.

Irrational numbers are a set of real numbers that cannot be expressed in the form of fractions or ratios. Ex: π, √2, e, √5

Irrational numbers are infinite and non-repeating.

0.21211211 is an irrational number as it is non-recurring and non terminating in nature.

According to the question

Number = 0.515115111511115111115...  

Now,

The number is non - terminating and non recurring that imply it is a irrational number .

Hence, The number  0.515115111511115111115... is a irrational number .

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Answer: Supply

(The answer is supply because the opposite axis in a curve is supply, there's nothing other than that)

Answer: supply

Step-by-step explanation: Just took the test

Answer:

Step-by-step explanation:

Answer:

iii) R2

Step-by-step explanation:

The equation which represent the proportional relationship between the number of pairs of socks that Martha buys, x, and the total cost (in dollars), y is y = bx

y = bx

Where,

b = constant

If y = $6 and x = 2 pairs

y = bx

6 = b × 2

6 = 2b

divide both sides by 2

b = 6/2

b = 3

In conclusion, the proportional relationship between number of pairs of socks that Martha buys, x, and the total cost (in dollars), y is y = bx

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