Parallelogram ABCD has vertex coordinates A(0, 1), B(1,3), (4,3), and D(3,1). It is translated 1 unit to the right and 3 units down and then rotated 180°clockwise around the origin. What are the coordinates of A?

Answers

Answer 1

Answer:

  A'(-1, 2)

Step-by-step explanation:

Translation 1 right and 3 down is accomplished by the transformation ...

  (x, y) ⇒ (x +1, y -3)

Rotation 180° is accomplished by ...

  (x, y) ⇒ (-x, -y)

Then the composition of transformations gives ...

  (x, y) ⇒ (-x -1, -y+3)

The transformed coordinates of A(0, 1) are ...

  A(0, 1) ⇒ A'(-0 -1, -1 +3) = A'(-1, 2)


Related Questions

how many degrees does a unit angle measure a 10° B 90° c 180 degrees d 100 degrees​

Answers

Ksbujbtskbzbiz kshg

Sjhhzjz

Which is equivalent to the expression below?
3√3 + √6 + √12 - 2√3
A. 5√3
B. 3√3 + 6
C. 2√3 - √21
D. 5√3 - 6

Answers

Answer:

3√3 + √6 is the answer. so none is correct.

Step-by-step explanation:

= 3√3 + √6 + √12 - 2√3

= 3√3 + √6 + √4 X 3 - 2√3

= 3√3 + √6 + 2√3 - 2√3

= 3√3 + √6

A set of prime number between 5 and 15 . express it in listing and set builder methods. ​

Answers

Answer:

Step-by-step explanation:

{7,11,13}

toán lớp 8
giải bất phương trình: 2x + 2 > 4

Answers

Answer:

x>1

Step-by-step explanation:

Answer:

x>1

I hope it will help you

Find the length of side x in simplest radical form with rational denominator.

Answers

Answer:

sqrt(20)

Step-by-step explanation:

The two perpendicular side lengths are equal, so using Pythagoras theorem:

x = sqrt( sqrt(10)^2 + sqrt(10)^2 )

x = sqrt(10 + 10)

x = sqrt(20)

Write out the first five terms of the sequence.

an = n - 6

Answers

Answer:

-6, -5, -4, -3, -2

or

-5, -4, -3, -2, -1

depending on if N starts at 0 or 1

Step-by-step explanation:

If n starts at 0 then the first 5 terms are the following,

-6, -5, -4, -3, -2

If n starts at 1 then the first 5 terms are these,

-5, -4, -3, -2, -1

Usually starts from 0. In this case is :-6,-5,-4,-3,-2

Find the exact value of x.

Answers

Answer:

x =9 ,6

Step-by-step explanation:

PLEASE ANSWERRR! FIRST CORRECT ANSWER WILL VOTE BRAINLIEST
For a certain value of k, the system
x + y + (k-1) = 2,
6x + 2y - 3z = 1
kx - z = -3
has no solutions. What is this value of k?

Answers

In matrix form, the given system is written as

[tex]\begin{bmatrix}1&1&0\\6&2&-3\\k&0&-1\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}3-k\\1\\-3\end{bmatrix}[/tex]

and the system has no solution is the coefficient matrix is singular. The determinant is

[tex]\begin{vmatrix}1&1&0\\6&2&-3\\k&0&-1\end{vmatrix} = -3k+4[/tex]

and this is zero when k = 4/3.

On the other hand, in case you are missing a factor of z in the first equation, so that the system should read

x + y + (k - 1) z = 2

6x + 2y - 3z = 1

kx - z = -3

reframing it as a matrix equation gives

[tex]\begin{bmatrix}1&1&k-1\\6&2&-3\\k&0&-1\end{bmatrix}\begin{bmatrix}x\\y\\z\end{bmatrix}=\begin{bmatrix}2\\1\\-3\end{bmatrix}[/tex]

Then the determinant of the coefficient matrix is

[tex]\begin{vmatrix}1&1&k-1\\6&2&-3\\k&0&-1\end{vmatrix} = -2k^2-k+4[/tex]

and the determinant is zero at two values, k = (-1 ± √33)/4.

Which dimensions cannot create a
triangle?
• three angles measuring 25° 65°, and 90°
• three angles measuring 50°, 30°, and 100°
• three sides measuring 5 in., 12 in., and 13 in.
• three sides measuring 4 ft, 8 ft, and 14 ft

Answers

Answer:

three angles measuring 50°, 50°, 50° because they would add up to 150°. a triangles angles can only add up to 180°

Step-by-step explanation:

Answer:

three sides measuring 4 ft, 8 ft, and 14 ft

Step-by-step explanation:

The sum of the 3 angles of a triangle add to 180

three angles measuring 25° 65°, and 90° 25+65+90 =180

• three angles measuring 50°, 30°, and 100°50+30 +100 = 180

The sides of a triangle a<b<c   (a+b) >c

• three sides measuring 5 in., 12 in., and 13 in.

(5+12)>13  true

• three sides measuring 4 ft, 8 ft, and 14 ft

(4+8) >14  false

which of the following expresses the possible number of positive real solutions for the polynomial equation shown below 5x^3 + x^2 +7x - 28 = 0
A. Two
B. Three or one
C. One
D. Two or zero

Answers

The possible number of positive real solutions for the given polynomial equation is; Option C; One

We are given the polynomial;

5x³ + x² + 7x - 28 = 0

We can use descartes rule of signs to find the number of positive real zeros of the polynomial.

This descarte's rule of sign states that the number of sign changes from two consecutive coefficients tell us the number of maximum number of possible positive real zeros.

In our given polynomial, there is only one sign change. Thus we conclude that there is only one possible positive real solution to the polyomial.

Read more at; https://brainly.com/question/9624325

Answer:

D

Step-by-step explanation:

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

Must show work! PLEASE DO THIS ASAP!
No links

Answers

Answer:

37.68

Step-by-step explanation:

The formula for circumference is 2*pi*r plug in 6 for the radius to get 2*3.14*6 simplify to get 37.68

[tex]\rm \: \hookrightarrow \:\:Circumference \: \: of \: \: circle \: = \: 2 \: \pi \: r[/tex]

r = 6 inches

π = 3.14

[tex]\bf \large \: \implies \:\:2 \: \times \: 3.14 \: \times \: 6[/tex]

[tex]\bf \large \: \implies \:\:6.28 \: \times \: 6[/tex]

[tex]\bf \large \: \implies \:\:37.68 \: \: inches[/tex]

The inequality X+C > -2.55 has the solution x> 4.85 What is the value of c? How do you know?​

Answers

Answer:

The value for C is 2.3

in this case we know of x to be 4.85

therefore subtract the summation of both X+C from the value of x.

Hence we will have the equation X - X+C =2.3

4000 people were randomly selected for a survey. It was found that 50% read the newspapers in Nepali language, 45% read the newspapers in English language and 25% read neither of them. How many families read the both? Also, find the number of families who read exactly one kind of these papers. +​

Answers

Answer:

1) 800 (read the both) 2) 2200 (read exactly one)

Step-by-step explanation:

Find the people (families) who read neither of them

4000/100*25= 1000

It means that the rest 4000-1000= 3000 families read the newspapers at least  in one language  from the pointed languages. 4000/1oo*50= 2000 - readers in Nepali

4000/100*45= 40*45=1800 - readers in English.

2000+1800= 3800- the special amount, that consists of 1) only Nepali readers

2) only English readers 3) the readers in two languages (but the were counted twice, because we considered them in the group of Nepali readers and group of English readers)

The real quantity of only Nepali readers, only English readers and both language readers is 3000.

S0 3800-3000= 800 people - read in two languages

3000-800=2200 families read exactly one kind of these papers

sine, cosine, and tangent to calculate the height of the buildings in the diagram below.

Answers

Answer: Around 68.0858 m

Step-by-step explanation:

Set the height of 37°-53°-90° triangle as xSet the height of 50°-40°-90° triangle as yThe horizontal side both triangles share = 35

To find x                            To find y  

[tex]tan(37)=\frac{x}{35} \\\\35tan(37)=x\\\\x=26.37439...[/tex]                     [tex]tan(50)=\frac{y}{35} \\\\35tan(50)=y\\\\y=41.7113757...[/tex]

To find the height of the building, add the x-value and y-value:

[tex]x+y=26.3744+41.7114=68.0858[/tex]  

I hope this is correct o_o

4(a)+8-a,if a=-2 evaluate each expression

Answers

Answer:

2

Step-by-step explanation:

4(a)+8-a

Combine like terms

4a-a +8

3a+8

Let a = -2

3(-2)+8

-6 +8

2

a cube plus b cube is equal to a + b whole (a square minus a b + b square whole) ​

Answers

Answer:

a =b

Step-by-step explanation:

change the following to grams only
a. 7kg 85g
b. 6kg 346g
c. 5kg 342g​

Answers

Answer:

a) 7085g

b) 6346g

c) 5342g

Step-by-step explanation:

1kg = 1000g

Can someone help me out please

Answers

Answer:

12

Step-by-step explanation:

vzhhhdhx

gxbdhd

hdhdhx

hjcjc

Answer:

Step-by-step explanation:

pi = 3.14

r = 11 yds

Formula

Area = 4 pi r^2

Solution

Area = 4 * 3.14 * 11 ^2

Area = 1519.76

Area = 1519.8 rounded to the nearest 1/10

helpppp: write the rule that describes the composition of transformations

Answers

omg i need help on tht too

Need helppppp asappppp

Answers

it´s a polygon. letter c (decagon) should be right

hope it helps :)

Express x^2-8+5 in the form (x-a)^2-b where a and b are integers

Answers

Answer:

(x-4)^2-9 where a=4 and b=9

Step-by-step explanation:

x^2-8x+5

x^2-8x+16-16+5

(x-4)^2-9, a=4 and b=9

Your patient weighs 15 kg and is scheduled for to have an abdominal exploratory. You are instructed to provide 0.9% sodium chloride IV at a rate of 30ml/kg/hr. What will be the fluid rate be for your IV pump?

Answers

Answer:

[tex]V_f=450ml/hr[/tex]

Step-by-step explanation:

From the question we are told that:

Mass [tex]m=15kg[/tex]

Amount of NaCl IV [tex]n=0.9\%[/tex]

Rate [tex]R=30ml/kg/hr[/tex]

Generally the equation for fluid rate be for your IV pump is mathematically given by

[tex]V_f=mR[/tex]

Since

Rate is

30ml/kg/hr at 1kg patient Weight

Therefore

[tex]V_f=15*30[/tex]

[tex]V_f=450ml/hr[/tex]

Express 3x-2/(x-1)(x-2) ​

Answers

Answer:

3x-2/x²-3x+2

Step-by-step explanation:

you have to expand the bottom equations

(x-1)(x-2)

x(x-2)-1(x-2)

x²-2x-x+2

x²-3x+2

now from this you can't divide it into the top equation because not all the terms are like so it's better to bring it down as it is.

3x-2/x²-3x+2

I hope this helps

If i work in a week 2 days cleaning and i will work 4 hours in a day and in 1 hour is 8$ how much will it be in a year

Answers

Answer:

$3072

Step-by-step explanation:

It is given that :

I work for 4 hours everyday, working 2 days a week.

And in 1 hour , I get $8.

Therefore,

1 hour = $8

4 hours = 4 x  8

             = $32

So, in 1 day working for 4 hours, I get $32.

∴ Working 2 days = 32 x 2

                              = $64

In 1 month, there are 4 weeks

So, in 4 weeks (or 1 month), I work for = 4 x 2

                                                               =  8 days

Therefore, in 8 days, I get = 8 x 32

                                            = $256

Now there are 12 months in a year.

So, in 12 months , I will get = 12 x 256

                                            = $3072

Therefore, in 1 year , I will get $3072.

HELPPP PYTHAGOREAN THEOREM

Answers

Answer:

60

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2+25^2 = 65^2

a^2 +625 = 4225

a^2 = 4225-625

a^2=3600

Taking the square root of each side

sqrt(a^2) = sqrt(3600)

a = 60

Answer:

Step-by-step explanation:

Hypotenuse: 65

Leg: 25

Let Hypotenuse be c, and leg be a

[tex]a^{2}[/tex] + [tex]b^{2} = c^{2}[/tex]

[tex]a^{2} + 25^{2} = 65^{2}[/tex]

[tex]a^{2} + 625 = 4225\\[/tex]

[tex]a^{2}[/tex] = 4225 - 625

[tex]a^{2}[/tex] = 3600

3600 is the exponential value of a, meaning we need to apply the opposite of squaring to get the value of b. Which is square rooting.

a = [tex]\sqrt{3600\\}[/tex]

a = 60

Therefore a is equal to 60 feet

Can someone please help me with this problem!!

Graph g(x)= -5^x +5

Answers

If you’re asking me to graph that, here it is!
If you are trying to find the X and Y intercept the answer is

X-intercept-(1,0)
Y -intercept-(0,4)
I hope this helped ! :)

Find the measurement of the angle diagonal indicated in the following parallelogram

Answers

Answer:

24units

Step-by-step explanation:

From the parallelogram given, we can see that the line FH bisects EG at V. Hence;

GE = 2GV.

Given that

GV = 12

GE = 2(12)

GE = 24

Hence the measure of the length GE is 24units

Helppppp pleaseeee anyoneeeee

Answers

Take it on in parts, there are three shapes. One triangle, Two squares.

Triangle= 1/2 base * height
Triangle= 1/2(20)(11)= 110yd^2
Rectangle 1= base*height
Rectangle 1: (8)(4)= 32yd^2
Rectangle 2= (7)(12)= 84yd^2

Then add them together to get 226yd^2

Set up the ratio for cos(A)

Answers

Answer:

21/35

Step-by-step explanation:

Recall that Cos = Adjacent/Hypotenuse

We want to find Cos A

The adjacent of A is 21 and the hypotenuse is 35

So cos A would equal 21/35

The sum of (-12) and (5) is

(A) 6 (B) 8 (C) -7

Answers

Answer:

-7

Step-by-step explanation:

-12 +5

Since the signs are different

Take the larger number and subtract the smaller number

12-5 =7

Take the sign of the larger

-7

Answer:

-7 is the answer

[tex]( - 12) + (5) \\ = 7[/tex]

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