The vertices of a rectangle are E(−1, 1), F(−1, 3), G(−5, 3), and H(−5, 1). Find the coordinates of the figure after reflecting in the x-axis, and then translating 3 units right.

The Vertices Of A Rectangle Are E(1, 1), F(1, 3), G(5, 3), And H(5, 1). Find The Coordinates Of The Figure

Answers

Answer 1

The resulting points of the rectangle after applying rigid transformations are E'(x, y) = (2, -1), F(x, y) = (2, -3), G(x, y) = (-2, -3), H(x, y) = (-2, -1).

How to apply rigid transformations on geometrical loci

Rigid transformations are transformations in which Euclidean distances are conserved in every point of the geometrical locus. Reflections and translations are sound examples of rigid transformations.

Based on all the information given in the statement, we must apply the following vectorial formula to each vertex of the rectangle EFGH:

(x', y') = (x + 3, -y)     (1)

If we know that E(x, y) = (-1, 1), F(x, y) = (-1, 3), G(x, y) = (-5, 3) and H(x, y) = (-5, 1), then the new coordinates are calculated below:

E'(x, y) = (2, -1), F(x, y) = (2, -3), G(x, y) = (-2, -3), H(x, y) = (-2, -1)

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Related Questions

i need answer please​

Answers

Answer:

Below in bold.

Step-by-step explanation:

Radius of the pizza = 1/2 * 8 = 4 in.

Area of the whole pizza = π r^2

=  π * 4^2

= 8 π

So if you take 1/8 away

the area left = 7/8 * 8 * π

= 7π

Taking π to be 22/7:

= 7 * 22/7

= approximately 22 in^2.

A $70,000 mortgage is $629.81 per month. What was the percent and for how many years?
9%, 20 years
9%, 30 years
7%, 20 years
9%, 25 years

Answers

The interest percent and the maturity period of the $70,000 mortgage with a monthly payment of $629.81 are A. 9%, 20 years.

How can the monthly payments be calculated?

The monthly payments can be computed using the present value annuity table or formula.

However, to compute the percent interest and the maturity period, we can use an online finance calculator as below by inputting the calculated monthly payments.

Thus, at an interest rate of 9% for 20 years and a monthly payment of $629.81, the present value of $70,000 will be equal.

Data and Calculations;

N (# of periods) = 240 (20 years x 12)

I/Y (Interest per year) = 9%

PMT (Periodic Payment) = $629.81

FV (Future Value) = $0

Results:

PV = $70,000.20

Sum of all periodic payments = $151,154.40 ($629.81 x 240)

Total Interest $81,154.20

The interest percent and the maturity period of the $70,000 mortgage with a monthly payment of $629.81 are A. 9%, 20 years.

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9. The growth of mold in Specimen A can be modeled by A(t) = The growth
of mold in Specimen B can be modeled by B(t)

a. Find (A - B)(t).
b. Explain what the function (A - B)(t) represents

Answers

The value of the difference of the functions is 3t^2/3

The difference in the growth of the specimen is 3t^2/3

Exponential functions

Expoenential functions are written in the form y= ab^x

Given the following expoenential functions

A(t) = 5/6t^2/3

B(t) = 1/3t^2/3

a) Determine the function (A-B(t)

(A-B)(t) = A(t) - B(t)

Substitute

(A-B)(t) = 5/6t^2/3 - 1/3t^2/3
(A-B)(t) = (5/6-1/3)t^2/3
(A-B)(t) = 9/3t^2/3
(A-B)(t) = = 3t^2/3

b) This means that the difference in the growth of the specimen is 3t^2/3

Learn more on exponential function here: https://brainly.com/question/12940982

Am I correct?!? Please tell me!

Answers

Answer:

B

Step-by-step explanation:

Standard form of a polynomial is when the terms are order from highest exponential power to lowest exponential power. The choice you chose has the highest exponential power of 1, and a leading coefficient of 1. You are incorrect. The correct answer would be the second choice of:

[tex]5 {x}^{2} + 6x - 7[/tex]

This polynomial is in standard form, and has a leading coefficient of positive 5.

If bryan ate 3\8 of a pizza, and d'marjay ate 3\6 of the same pizza, who ate more pizza?

Answers

Answer:

d'marjay ate more pizza , because if bryan ate 3/8 , then d'marjay ate the rest of the pizza , so she could've eaten more

Answer: 3/6

Step-by-step explanation: If the "top number" of multiple fractions is the same, then the smaller "bottom number" is the larger one.

whats 2+7
a. 14
b. 19
c.88383838837​

Answers

Answer:

9

Step-by-step explanation:

Was this a joke or something

It is 14 or a ✅✅Ok so I can park in the

convert 17/4 to a mixed​

Answers

Answer:

17/4 is 4 ¼ as a mixed fraction

Step-by-step explanation:

hope this helps


The vertices of a rectangle are W(1,2), X(4,2), 7(4, -3), and Z(1, -3). Find the perimeter of the
rectangle. Use words, numbers, or models to justify your answer.

Answers

Answer:

16

Step-by-step explanation:

We could use the distance formula to find the distance between the points in this problem, but when we look we see that the sides of the rectangle are parallel to the x and y-axis for each pair of sides. The first two points have a distance of 3 because 4-1=3. Since it is a rectangle, the opposite side will have the same length. For the sides perpendicular, we look at the points with the same x coordinate. Using (4,2) and (4,-3), we can calculate the length of the side by finding the distance by adding the absolute values of the y coordinate. 2+3=5. This means that the triangle has two sides with a length of 5 and two sides with a length of 3. Adding these together, 5+5+3+3 = 16.

3 and 3/4 - 2 and 1/5

Answers

Answer:

[tex]3 \frac{3}{4} - 2 \frac{1}{5} \\ \\ \frac{15}{4 } - \frac{11}{5} \\ \\ \frac{75}{20} - \frac{44}{20} \\ \\ = \frac{31}{20} = 1.55 = 1 \frac{11}{20} [/tex]

The volume of 1000 drops of a liquid is 1 fluid ounce. What is the volume of 10 drops

Answers

Answer:

[tex]0.01\ ounce[/tex]

Step-by-step explanation:

Step 1:  Determine the volume of 10 drops

[tex]1\ ounce / 1000\ drops[/tex]

[tex]0.001\ ounce/drop[/tex]

[tex]0.001\ ounce/drop * 10\ drops[/tex]

[tex]0.01\ ounce[/tex]

Answer:  [tex]0.01\ ounce[/tex]

Answer:

The volume of 10 drops of a liquid is 0.1 fluid ounce.

Step-by-step explanation:

I hope this will help you

93 is 50% of what number?

Answers

Answer: the answer is 186

Step-by-step explanation:

Hope my answer helps you please mark me brainliest

how do i solve this question

Answers

You need to attach the photo we can’t see

2 inches 5 inches and 1/4 inches

Answers

Answer:

7 1/4 inches

Step-by-step explanation:

Combining 2 and 5 inches, we get 7 inches.

Combining 7 inches and 1/4 inches, we get 7 1/4 inches.

Answer: 7.25 inches

2+5= 7 inches

1/4=0.25

7+0.25 = 7.25 inches :)

Suppose a line, with a slope of -3 and a y-intercept of 4, is translated -4 units along the x-axis and 6 units along the y-axis. What is the equation of this new line?
pls hurry

Answers

Find equation of old line first

m=-3b=4

Equation in slope intercept form

y=-3x+4

Translated 4units left(x+4)

Translated 6 units up(y intercept +6)

Put it.

y=-3(x+4)+6+4y=-3x-12+10y=-3x-2

Answer:

  y = -3x -2

Step-by-step explanation:

The equation of the given line, with slope -3 and y-intercept 4, can be written in slope-intercept form as ...

  y = -3x +4

When the line is translated by (h, k), it can be written as ...

  (y -k) = -3(x -h) +4

__

Here, we want to translate the line -4 in the x-direction and 6 in the y-direction. That is, (h, k) = (-4, 6). Using these values in the above equation, we have ...

  y -6 = -3(x -(-4)) +4

  y = -3x -12 +4 +6 . . . . simplify, add 6

  y = -3x -2

__

The attached graph shows the original line (red) with its y-intercept, and the translated line (green) with that y-intercept moved 4 units left and 6 units up.

find the exact value of 2sin30 cos30

Answers

Answer:

[tex]\frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

Let's take a look at the unit circle below.

Remmeber that cos represents the x-value and that sin represents the y-value.

We see that:

[tex]sin(30)= \frac{1}{2}\\\text{and}\\ cos(30) = \frac{\sqrt{3}}{2}[/tex]

Now we just multiply all the together and we get:

[tex]2*\frac{1}{2}*\frac{\sqrt{3}}{2} =\frac{\sqrt{3}}{2}[/tex]

HELPPP!!!! URGENTT!!!!

Answers

Answer:

The answer is the 1

Step-by-step explanation:

She has a less chance because there are 4 questions with 4 answers so that decreased her chances.

Can someone help me? ill give brainlyest if u answer!!​

Answers

Answer:

Kiko was right.

Step-by-step explanation:

When a positive integer is multiplied by another positive integer, the product is positive. When a negative integer is multiplied by a positive integer, then the product is negative. The power should also be considered as well, since it can affect whether the integer is positive or negative depending on if it's even or odd.

Ramesh lent a loan of Rs 1800 to Suresh at a rate of interest for 2 years. At the end of period Suresh refunded him a total of Rs 2232. At what rate of interest had Ramesh lent the loan? Ans: 12%

Answers

Answer:

12%

Step-by-step explanation:

Simple interest formula:  A = P(1 + rt)

where:

A = final amountP = principalr = interest rate (in decimal form)t = time (in years)

Given:

A = Rs 2232P = 1800t = 2

Substitute given values into the formula and solve for r:

⇒ A = P(1 + rt)

⇒ 2232 = 1800(1 + r · 2)

⇒ 1.24 = 1 + r · 2

⇒ 0.24 = 2r

⇒ r = 0.12

Convert into percentage:

0.12 = 12/100 = 12%

Which of the objects below best holds 1 quart? A. gas tank pitcher C. coffee mug D. pool​

Answers

The pool and gas can are to big and a coffee mug is to small so it would be B. pitcher

What is the area of the beach ball with a diameter of 14 in. ?

Answers

Answer:

The answer is 675.75 square Inches

Step-by-step explanation:

Given;Diameter (d) = 14 in.To Find;Area of beach ball = ?Formula;Area = 4πr²

Now,

Radius (r) = diameter ÷ 2

r = 14/2 in.

r = 7 in.

Now,

A = 4πr²

A = 4 × 22/7 × (7)² in.

A = 4 × 22 × 7 in.

A = 615.75 square in.

Thus, The area of the beach ball with a diameter of 14 in. is 615.75 square in.

Answer:

  615.8 in²

Step-by-step explanation:

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

  A = 4πr² . . . . . sphere of radius r

In terms of diameter, the area is ...

  A = 4π(d/2)² = πd²

__

For a diameter of 14 inches, the area of the beach ball is ...

  A = π(14 in)² = 196π in² ≈ 615.8 in²

The area of the ball is about 615.8 square inches.

i need help can someone help

Answers

Answer:

Step-by-step explanation:

The distributive property is for example 3(2*4) the outside number multiplies everything inside the parenthesis. For the communitive, its like opposites, but they give the same answer, for example 4*5, 5*4. And for associative is like the distributive property, but not at the same time, for example,  (a*b)*c = a*(b*c) it has the numbers, but pluged in in another type of way


Hope this helps!

Question 1 (3 points)
The recursive rule for a sequence is shown.
an = An-1 +4
a1
= 14
Write the explicit rule in simplified form for the sequence.
an
=

Answers

Considering the recursive rule, the explicit rule for the arithmetic sequence is given by:

[tex]a_n = 14 + 4(n - 1)[/tex]

What is an arithmetic sequence?

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

From the recursive sequence, we have that the first term is [tex]a_1 = 14[/tex], while each term is the previous added to four, hence the common difference is d = 4. Thus, the explicit formula is given by:

[tex]a_n = 14 + 4(n - 1)[/tex]

More can be learned about arithmetic sequences at https://brainly.com/question/6561461

find the measures of the interior angles

Answers

Answer:

B is 88 and C is 44

Step-by-step explanation:

I know I am right and I did the math

Need Help! Please!
Tara found a pair of jeans that were regularly priced at $35. She has a coupon for 15% off. What is the price of the jeans after applying the coupon?

$20

$7

$29.75

$33.50

Answers

15% of 35 is 5.25
35-5.25=29.75

Answer:

The price is $29.75

Step-by-step explanation:

Because it is 15 percent off, that means that the jeans are priced at 100%-15%=85%. To convert a percent to a decimal, move the decimal two places to the left. This gives us .85. Multiply 35 by .85 and you will get 29.75. Hope this helps!

A bag has six balls labeled a,b,c,d.e and f . One ball will be randomly picked, and its letter will be recorded as the outcome. Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of choosing the letter b,e or c . If there is more than one element in the set, separate them with commas.

Answers

Answer:

Step-by-step explanation:

given that a bag contains 6 balls labelled A to F.

Given that a ball is drawn at random and its letter is recorded as outcome.

Since each ball is equally likely to be drawn the sample space for one ball drawing is

S = {A,B,C,D,E,F} and n(S) = 6

Let G be the event of choosing a lable from D to F

G = The event of choosing a label from D to F= {D,E,F}  n(A) = 3

A sample space is a set which contains the set of all the possible outcomes or results that could occur while performing an experiment.

i.e. the sample space while flipping a coin is: {H,T}

The sample space while tossing a six-sided die is: {1,2,3,4,5,6}

Here it is given that:

A bag has six balls labeled:  A,B,C,D,E,F

One ball will be randomly picked, and its letter will be recorded as the outcome.

       This means that the sample space is given by:

                     Sample space={ A,B,C,D,E,F}

Now, when the event is choosing a letter from   D to F.

            Then the sample space is:

                     Sample space= {D,E,F}

An airplane flies with a constant speed
of 820 miles per hour. How far can it
travel in 3 1/2 hours?

Answers

2870 miles

D= s x t

= 820 x 3.5

=2870

Hope this helps!

Please help I will give brainliest.

Answers

Answer:

a and -b is the answer

Step-by-step explanation:

(x-a)(x+b) = 0

x-a = 0 and x+b = 0

then

x = a and x = -b

What is the value of x

Answers

x = 20°

The total sum of interior angles in a triangle is 180°

x + 5 + 7(x) - 5 + x = 180°x + 7(x) + x + 5 - 5 = 180°9(x) = 180°x = 20°

Answer:

D)  x = 20

Step-by-step explanation:

Theorem

The sum of the interior angles of a triangle is 180°

Solution

Add the angles and equate to 180:

⇒ (x + 5) + (7x - 5) + x = 180

Collect like terms:

⇒ x + 7x + x + 5 - 5 = 180

Combine like terms:

⇒ 9x = 180

Divide both sides by 9:

x = 20

I need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

3

Step-by-step explanation:

-------------------------------------------------------------------------------------------------------

Given Question

For the expression [tex]2x-5[/tex], evaluate it for [tex]x = (0, 1, 2, 3, 4, 5)[/tex].

From the evaluated set of values the mean absolute deviation rounded off to the nearest tenth is:

-------------------------------------------------------------------------------------------------------

Evaluating the expression for the given values of x:

[tex]x=0 \implies 2(0)-5=-5[/tex]

[tex]x=1 \implies 2(1)-5=-3[/tex]

[tex]x=2 \implies 2(2)-5=-1[/tex]

[tex]x=3 \implies 2(3)-5=1[/tex]

[tex]x=4 \implies 2(4)-5=3[/tex]

[tex]x=5 \implies 2(5)-5=5[/tex]

Evaluated set of values: -5, -3, -1, 1, 3, 5

To find the Mean Absolute Deviation (MAD):

Calculate the mean (by summing the data values and dividing by the number of values)Subtract the mean from each value in the data set and take the absolute value of each result.Sum the absolute values from step 2.Divide by the number of values.

[tex]\sf Mean=\dfrac{(-5)+(-3)+(-1)+1+3+5}{6}=0[/tex]

Absolute values:

[tex]\sf|-5-0|=5[/tex]

[tex]\sf|-3-0|=3[/tex]

[tex]\sf|-1-0|=1[/tex]

[tex]\sf|1-0|=1[/tex]

[tex]\sf|3-0|=3[/tex]

[tex]\sf|5-0|=5[/tex]

Sum of absolute values = 18

[tex]\sf \implies MAD=\dfrac{18}{6}=3[/tex]

help me out please ty!

Answers

Answer:

a5 = 2604

Step-by-step explanation:

a1 = 4

a2 = -5(4)-1 = -21

a3 =-5(-21)-1 = 104

a4 = -5(104)-1 =-521

a5 =-5(-521)-1 = 2604

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \tt \dashrightarrow \:a1 = 4[/tex]

Now, let's proceed next till we get[tex] \tt a_5 [/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = - 4a_{(2 - 1)}+ 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = - 4a_{1}+ 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = (- 4 \times 4)_{}+ 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = - 16_{}+ 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = - 11[/tex]

Similarly,

[tex]\qquad \tt \dashrightarrow \: a_3 = 49[/tex]

[tex]\qquad \tt \dashrightarrow \: a_4= - 191[/tex]

Now, let's solve for [tex]\tt a_5 [/tex]

[tex]\qquad \tt \dashrightarrow \: a_5= - 4( - 191) + 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_5= 764 + 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_5= 769[/tex]

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