Need help with this problem please help

Need Help With This Problem Please Help

Answers

Answer 1

The error is that the student used the formula for a reflection in the x-axis, and the correct endpoints are: C'(1, 1) and D'(3, -2)

What is the error in finding the coordinates of the image after a rotation of 270?

Rotation simply means turning.

In a cartesian plane, if a point P, whose position vector is (x,y), is rotated through 270° about the origin, the position of the image P' is (y, -x)

But the reflection in the x-axis is defined as (x,y) => (x, -y) i.e. if a position vector of a point is (x,y), the position vector of its image in the x-axis is  (x, -y)

Given: C(-1, 1) and D'(2, 3)

Therefore, the student used the formula for a reflection in the x-axis. The 2nd option is the answer.

The correct endpoints are: C'(1, 1) and D'(3, -2)

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Related Questions

Solve for x and y . Special right triangle lesson

Answers

Answer:

hope this helps!!!

The top face of the latest music player measures 4.33 inches by 1.54 inches. Find the perimeter of the rectangular face.​

Answers

Answer: 11.74

Step-by-step explanation:

4.33+4.33+1.54*1.54+11.74

A rectangle has two pairs of equal sides.

Write an equation of the line passing through point P(0, -1) that is parallel to the line y = - 2x+3.

Answers

Answer:

[tex]y=-2x-1[/tex]

Step-by-step explanation:

If two lines are parallel, they have the same slope. In this case, it is -2

Using point-slope form, with a slope of -2 going to through point P(0,-1)
We have:

y+1=-2x

y = -2x - 1

:]

you are making purple paint in the ratio of 2 cups blue paint to 1/4 cups of red paint use the information in the table to complete the rest of the table

Answers

The table to show the number of cups for the colors will be:

Red cups Blue cups

1. 8

2. 16

3. 24

How to illustrate the information?

Given that the person is making purple paint in the ratio of 2 cups blue paint to 1/4 cups of red paint.

Therefore, for every 1 cup of red paint, the number of blue paint will be:

= 2 ÷ 1/4

= 2 × 4

= 8 cups

Therefore, to get other values, you simply have to multiply by 8.

2 red paint will be:

= 2 × 8

= 16 blue cups.

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A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 60% pure antifreeze. The company wants to obtain 180 gallons of a mixture that contains 35% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?

Answers

The gallons of water and premium antifreeze solution that must be mixed are equal to 60 gallons and 120 gallons respectively.

How to determine the gallons of water and premium antifreeze solution?

In order to calculate the gallons of water and premium antifreeze solution, we would assign variables to the gallons of water and premium 60% antifreeze that is required, and then translate the word problem into algebraic equation as follows:

Let the variable x represent the gallons of water.Let the variable y represent the premium 60% antifreeze.

Since the premium antifreeze solution contains 60% premium antifreeze, we have the following mathematical expression:

x + y = 180      ....equation 1.

0.60y = 0.40(180)    ....equation 2.

From equation 2, we have:

0.60y = 0.40(180)

0.60y = 72

y = 72/0.60

y = 120 gallons of premium antifreeze.

For the gallons of water, we have the following:

x + y = 180

x = 180 - y

x = 180 - 120

x = 60 gallons of water.

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Your teacher will grade your responses to questions 4–8 to ensure you receive proper credit for your answers.
A carpenter cut the top section of a window frame with a 37º angle on each end. The side pieces each have a 50º angle cut at their top ends, as shown. Will the side pieces of the frame be parallel? Explain. Diagram not to scale.

SOMEONE PLEASE HELP ME!

Answers

Based on the given parameters about a carpenter cutting the top section of a window frame, the side pieces of the frame are not parallel.

How to show that the side pieces of the frame are parallel?

Parallel lines are lines which are equally distant from one another at all points.

To show that the side pieces of the frame are parallel:

The interior angles are equal in measure and the sum of the interior angles must be equal to 180°

The two given side pieces of the window frame are also equal in measure.

If the sum of both side angles is equal to 180∘, then, the sides are parallel.

Adding one side of the interior angle:

37∘ + 50∘ = 87∘

Adding both sides of the angle:

2(37∘ + 50∘)

= 2(87∘)

= 174∘

Hence,

174∘ < 180∘

So therefore, the sides pieces of the window frame cut by the carpenter are not parallel.

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Determine an nth degree polynomial that satisfies the aforementioned conditions.

Answers

The polynomial of p(x) is  -24 (x² + 15x + 54) with the satisfying's conditions degree 3.

Given,

An nth degree polynomial p meets the requirements listed below:

p is of degree 3.

-9 is a zero, with multiplicity 2, of p.

-6 is a zero, with multiplicity 1, of p.

p(-1) = -960

We have to determine an nth degree polynomial that satisfier the conditions.

Let the polynomial be p(x) whose zero are -9 and -6

a be the coefficient.

p(x) = a (x+9) (x+6)

p(x) = a(x² + 6x + 9x + 54)

p(x) = a(x² + 15x + 54)

Now, take x = -1

p(-1) = a (-1² + 15 x -1 + 54)

-960 = a ( 1 - 15 + 54)

-960 = a x 40

a = -960/40

a = -24

We get,

p(x) = -24 (x+9) (x+6)

p(x)= -24 (x² + 15x + 54)

Therefore, the polynomial of p(x) is  -24 (x² + 15x + 54) with the satisfying's conditions degree 3.

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If anyone could take some time and look at the photo and explain a little bit? Thank you I’m grateful for the help :)

Answers

Answer:

C= 31in

Step-by-step explanation:

First you must know the circumference equation. The circumference equation is C=2πr, with r being the radius. Since we are given the radius, we will fill in the radius given for r. So then we will fill in and solve:

C=(2)(π)(5in)

C=(10)(π)

C=31.4in...

C=31in

Hope this helps!

Solve the following equation. 8x-6=10

Answers

Answer:

x = 2

Step-by-step explanation:

8x - 6 = 10 ( add 6 to both sides )

8x = 16 ( divide both sides by 8 )

x = 2

Answer:

x = 2

Step-by-step explanation:

8x-6 = 10

8x-6+6 = 10+6

8x = 16

8x/8 = 16/8

x = 2

what is the kinetic energy of a 158 kg Green Sea Turtle swimming at 0.42 m/s? With work shown

Answers

Kinetic energy

Kinetic energy is defined as the work required to accelerate a body of a given mass from rest to its stated speed. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.

Mass - (Measured in Kilogram) - Mass is the amount of matter in a body, regardless of its volume or the forces acting on it.

Velocity - (Measured in Meters per Second) - Velocity is a vector quantity (has both magnitude and direction) and is the rate of change of an object's position with respect to time.

What is the kinetic energy of a 158 kg Green Sea Turtle swimming at 0.42 m/s? With work shown

We have that the data is:

m = 150 kgv = 0.42 m/s

The formula to calculate kinetic energy is:

             Ec = m * v²/2

Since it only asks us to calculate the kinetic energy, it is not necessary to clear the formula.

[tex]\boldsymbol{\sf{Ec=\dfrac{158 \ kg*\left(0.42 \ \frac{m}{s}\right)^2 }{2} }}[/tex]

[tex]\boldsymbol{\sf{Ec=\dfrac{158 \ kg*0.1764 \ \frac{m^2}{s^2} }{2} }}[/tex]

[tex]\boldsymbol{\sf{Ec=13.9356 \ kg*\dfrac{m^2}{s^2} }}[/tex]

We work with the units, in this case with m^2 = m*m.

[tex]\boldsymbol{\sf{Ec=13.9356 \boxed{\boldsymbol{\sf{Kg*\frac{m}{s^2} }}}*m }}[/tex]

Newton's units are: Kg*m/s^2.

[tex]\boldsymbol{\sf{Ec=13.9356 \ N*m \longmapsto Joule \ units=N*m}}[/tex]

[tex]\boldsymbol{\sf{Ec=13.9356 \ J}}[/tex]

The kinetic energy (E) of a body with mass m = 158 kilograms and speed v = 0.42 m/s is equal to 13.9356 J

But if you need the rounded answer, then 13.94 Joules.

x -1 , 3, 7 , 11 and y 3, 6, 10, 15 is the relationship linear, exponential, or neither

Answers

Answer:

Yes i the relationship linear,exponential,or neither

Eleanor and Luke started on a trip to the mountains with their six-year old car. Their
odometer read 87,236.2 miles at the start of the trip and 87,626.2 miles at the end of the trip.
They used 14.5 gallons of gas on the trip. How many miles per gallon did they achieve with
their car?

Answers

They achieved 26.9 miles per gallon approximately with that car in this trip.

Given that the initial odometer reading is = 87236.2 miles

Final odometer reading after trip is = 87626.2 miles

So the distance of the total trip is = 87626.2-87236.2 = 390 miles

They used 14.5 gallons of gas on the tri[p.

So the mileage is = 390/14.5 = 26.9 miles per gallon approximately.

Their car achieved 26.9 miles per gallon approximately.

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Determine whether the series converges or diverges
Please, check the image

Answers

The series as represented in the task content is divergent and hence; diverges.

What convergence and divergence in series?

It follows from the task content that the series defined by the summation expression as represented above is to be identified as divergent or convergent.

It is noteworthy to know that;

If a sequence converges, it means that the limit of the sequence exists as n → ∞. Also, if the limit of the sequence as n → ∞ does not exist, Then, such series is said to diverges.

Therefore, by evaluation as the limit of the expression k sin²k / 1 + k³ as k → ∞ is; Undefined and hence does not exist.

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Vonna scored 48 goals in her soccer kicking practice. If her​ success-to-failure rate was ​3:2​, how many times did she attempt a​ goal?

Answers

The number of attempts Vonna made is 80.

Given,

Vonna scored 48 goals in her scoccer kicking practice.

Her success to failure rate is 3:2

Vonna scored 48 goals" means that there were 40 successes,

= 48 goals

= 3:2

= 48:3

= 16

x = 6 positive integer

hence let 3x:2x

= 3(16) = 48

= 2(16) = 32

Total attempts = 48+32

= 80

Hence the total number of attempts Vonna made is 80.

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The Singapore Navy acquired 4 Swedish- build Sjoormen class submarine to beef up its defence capabilities in the late 1990s. The submarine is capable of attaining a top speed of 16 knots (nautical miles per hour) when submerged. Convert 16 knots to (a) km/h (b) m/s. (Take 1 nautical mile to be 1 853 m.)​

Answers

The speeds when converted are 29.648 km/h and 8.24 m/s

How to convert the units of speed?

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

Speed = 16 knots

Also, from the question, we have

1 nautical mile to be 1853 m

This means that

Speed = 16 * 1853 m per hour

Convert meters to kilometers

So, we have

Speed = 16 * 1.853 km per hour

Evaluate the products

Speed = 29.648 km/h

Also, we have

Speed = 16 * 1853 m per hour

Convert hour to seconds

So, we have

Speed = 16 * 1853/3600 m/s

Evaluate

Speed = 8.24 m/s

Hence, the speed in m/s is 8.24 m/s

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is flying from Boston to Denver with a connection in Chicago. The probability her first flight leaves on time is 0.25 . If the flight is on​ time, the probability that her luggage will make the connecting flight is ​, but if the flight is 0.8​ delayed, the probability that the luggage will make it is only 0.65

Answers

The probability that Rebecca's first flight was delayed is 75%.

What is probability?

Probability is the ratio or odds of an expected outcome occurring when there are many possible outcomes.

Probability is always a fractional value lying between 0 and 1.  When the expected outcome is certain, the probability is said to be one.  When it is uncertain, the probability is zero.

Like ratios, probability is depicted as decimals, fractions, or percentages when there is no 100% certainty or uncertainty.

The probability of Rebecca's first flight leaving on time = 0.25

The probability of Rebecca's first flight being delayed = 0.75 (1 - 0.25)

= 75%.

Thus, it is 75% likely that Rebecca's first flight will be delayed.

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Question Completion:

Suppose you pick her up at the Denver airport and her luggage is not there. What is the probability that Rebecca​'s first flight was​ delayed?

Write, solve and graph a compound inequality: An architect is designing a rectangular park. The perimeter of the park must be at least 5,000ft and less than 8,000ft. If the width is 8 less than half the length, what are the possible lengths of the park?

Answers

The inequality of the scenario is 10000 ≤ l² - 16l < 16000 and the length is 1672 feet

How to determine the inequality?

The statements from the question are given as:

Shape = Rectangular park

Minimum perimeter = 5000 square ft

Maximum perimeter = Less than 8000 square ft

Also, we have

Width = 8 less than half the length

This means that

w = 1/2l - 8

The perimeter of a rectangle is

perimeter = 2 * (l + w)

So, we have

P = lw

This gives

P = 2 * (l + 1/2l - 8)

P = 2 * (1.5l - 8)

Open the brackets

P = 3l - 16

Substitute the known values in the above equation So, we have the following equation

5000 ≤ 3l - 16 < 8000

The above represents the inequality

See attachment for the graph


From the graph, we have the solution to be

l = 1672 (approximately)

Recall that:

w = 1/2l - 8

So, we have

w = 1/2 * 1672 - 8

Evaluate

w = 828

Hence, the possible length is 1672 ft

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1.
Find the values of the sine, cosine, and tangent for

Answers

It depends on how accurate you want to be, but two straight lines between 0° and 30° and 30° and 90° will not be too bad for Sine.

Thus for angles less than 30°

sinx≈x/60

and for angles greater than 30°

sinx≈(30+x)/120

For Cosine you use the identity

cosx=sin(90−x)

And for Tangent you use the identity

tanx=sinxcosx

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What sentence represents this equation?

8 3/4=17−x

Answers

The sentence that represents this equation 8 3/4 = 17 - x is B) 8 3/4 is the same as 17 decreased by a number.

What is an equation?

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this case, 8 3/4 is the same as 17 decreased by a number will be 8 3/4=17−x.

Therefore, the correct option is B.

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Complete question

What sentence represents this equation?

8 3/4 = 17 - x

A) A number is the same as the difference of 17 and 8 3/4.

B) 8 3/4 is the same as 17 decreased by a number.

C) 17 decreased by 8 3/4 is the same as a number.

D) 8 3/4 is the same as a number decreased by 17.

in the fruit bowl there are 12 bananas 8 apples and 4 oranges. do for every one orange there are ___ bananas

Answers

For every 1 orange in the fruit bowl there are three bananas.

According to the question,

We have the following information:

In the fruit bowl there are 12 bananas, 8 apples and 4 oranges.

Now, in order to find the number of bananas in this fruit bowl for 1 orange can be as written below:

4 oranges = 12 bananas

Now, to find the number of bananas for 1 orange, we will divide the total number of bananas by the number of oranges.

So, we have the following expression:

1 orange = 12/4 bananas

1 orange = 3 bananas

Hence, for every 1 orange in the fruit bowl there are three bananas.

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Find a degree 3 polynomial with real coefficients having zeros 3 and 4 i and a lead coefficient of 1. Write P in expanded form. Be sure to write the full equation, including P ( x ) = .

Answers

Answer:

[tex]P(x)=x^3-3x^2+16x-48[/tex]

Step-by-step explanation:

Given information:

Polynomial function with real coefficients.Zeros: 3 and 4iLead coefficient of 1.

For any complex number  [tex]z=a+bi[/tex], the complex conjugate of the number is defined as  [tex]z^*=a-bi[/tex].  

If f(z) is a polynomial with real coefficients, and z₁ is a root of f(z)=0, then its complex conjugate z₁* is also a root of f(z)=0.

Therefore, if P(x) is a polynomial with real coefficients, and 4i is a root of f(x)=0, then its complex conjugate -4i is also a root of P(x)=0.

Therefore, the polynomial in factored form is:

[tex]P(x)=1(x-3)(x-4i)(x-(-4i))[/tex]

[tex]P(x)=(x-3)(x-4i)(x+4i)[/tex]

Expand the polynomial:

[tex]P(x)=(x-3)(x^2+4ix-4ix-16i^2)[/tex]

[tex]P(x)=(x-3)(x^2-16(-1))[/tex]

[tex]P(x)=(x-3)(x^2+16)[/tex]

[tex]P(x)=x^3+16x-3x^2-48[/tex]

[tex]P(x)=x^3-3x^2+16x-48[/tex]

Which is the graph of f(x) = 3 sqrt 3

Answers

Answer: I think it’s the first one.

Step-by-step explanation:

Organic sugar used to be sold at a bulk price of $5 per pound. The price was recently increased by 20%. What is the current price per pound?

please helpp

Answers

Answer:

$6

Step-by-step explanation:

5 x 0.20=1

5+1=6

Given a quadratic function in vertex form:

Answers

a) A vertical stretch happens for values of a such that |a| > 1.

b) A vertical compression happens for values of a such that |a| > 0.

c) For a vertical stretch, the graph increases vertically, and for a vertical compression, the graph increases horizontally.

d) A reflection across the x-axis takes place when a < 0.

How to obtain the transformations?

The definition of the quadratic function is given as follows:

f(x) = a(x - h)² + k.

The transformations to the function are given as follows:

Vertical stretch: multiplication of the function by a value with absolute value greater than 1, hence |a| > 1, increasing the graph vertically.Vertical compression: multiplication of the function by a value with absolute value less than 1, hence |a| < 1, increasing the graph horizontally.

Additionally, for a reflection over the x-axis, the function is multiplied by a negative number, hence:

a < 0.

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The equation of line L1, is y=5x+1

The equation of line L2, is 2y-10x+3=0

Answers

Answer:

y = 5x + 1

y = 5x + [tex]\frac{-3}{2}[/tex]

When the slopes are the same (5) the equations are parallel.

Step-by-step explanation:

You can look at the graph of the two equaions attached to see that there paralle.

2y - 10x +3 = 0  Add 10 to both sides of the equation

2y -3 = 10x  Add three to both sides of the equation

2y = 10x -3  Divide all the way through by 2

y = 5x + [tex]\frac{-3}{2}[/tex]

A car dealership increased the price of a certain car by 6%. The original price was $33,600.
(a) Fill in the blank to write the new price in terms of the original price.
Write your answer as a decimal.
New Price = blank * Original Price

(b) Use your answer in part (a) to determine the new price.

Answers

The new price for the car when there's an increase of 6% is $35616.

How to calculate the new price?

Given that the dealership increased the price of a certain car by 6% and the original price was $33,600.

The new price will be:

= Original price + Increase in price

= $33600 + (6% × $33600)

= $33600 + $2016

= $35616

The new price is $35616.

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Suppose that you borrow $17,000 for five years at 6% toward the purchase of a car. Find the monthly payments and the
total interest for the loan.
The monthly payment is $

Answers

The amount of the monthly payments is $368.34, and the total interest on the loan is $5,100.

The initial amount of money that we borrow is $17,000. We borrow this amount for a total of five years. The interest charged is 6%. We borrowed the money for the purchase of a car. We need to find the monthly payments and the total interest for the loan.

Let the total amount to be paid and the interest be denoted by the variables "A" and "I", respectively.

I = P*R*T

I = $17,000*0.06*5

I = $5,100

The total amount of money to be paid is the sum of the initial amount and the interest charged.

A = P + I

A = $17,000 + $5,100

A = $22,100

The total number of months in five years is 12*5 = 60.

The amount of the monthly payment is the ratio of the total amount to be paid to the total number of months.

M = $22,100/60

M = $368.34

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Help I know the answer just need to know that it is correct

Answers

what the question............

mary invests 12500 in savings rate of 1.5 percent for 2 years

Answers

Answer:The question is very brief, im not sure if i understand what your asking

Step-by-step explanation:

complete the missing numbers, please .

Answers

The cost of the sweater is $ 30 and

1 dollar = 17 pesos, $ 25 = 425 pesos and $ 3 dollar = 51 pesos.

Mathematical Operations:  

Mathematical Operations are activities or mathematical processes used to solve given problems. The most used mathematical activities are adding, subtracting, multiplying, and dividing.

The basic operations and their symbols are given below
Addition (+); Subtraction (-); Division (÷);  and Multiplication (x).  

Here we have

Priya exchanged 250 dollars for 4250 pesos  

[Here we used division and multiplication to solve the problem ]

Then the value of 1 dollar in pesos = [tex]\frac{4250}{250}[/tex] = 17 pesos

⇒ 1 dollar = 17 pesos

⇒ 25 dollars = 25 × 17 = 425 pesos

⇒ 3 dollar = 3 × 17 = 51 pesos

Given the cost of the sweater = 510 pesos  

The cost of the sweater in pesos = [tex]\frac{250}{4250} \times510[/tex] = 30

Therefore,

The cost of the sweater is $ 30 and

1 dollar = 17 pesos, $ 25 = 425 pesos and $ 3 dollar = 51 pesos

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