Each column of the matrix represents a vertex of a triangle. If Rosa scales the triangle by finding 3T, what are the vertices of the scaled triangle?
(3, 3), (3, 9), (9, 3)
(0, 0), (0, 6), (6, 0)
(3, 3), (0, 9), (9, 0)
(0, 0), (0, 9), (9, 0)

Each Column Of The Matrix Represents A Vertex Of A Triangle. If Rosa Scales The Triangle By Finding 3T,

Answers

Answer 1

Answer:

(0,0), (0,9), (9,0)

Step-by-step explanation:

The matrix corresponding vertices are:

(0,0)

(0,3)

(3,0)

Rosa scales by 3T, so we need to multiply each point by 3.

(3*0, 3*0)

(0*3, 3*3)

(3*3, 0*3)

=

(0,0)

(0,9)

(9,0)

last answer choice is right.

pls mark me brainly

Answer 2

The vertices of the scaled triangle, 3T is, (0, 0), (0, 9), (9, 0).

What is a scale factor?

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, A matrix [tex]T=\begin{bmatrix}0 & 0 & 3\\0 & 3 & 0\end{bmatrix}[/tex] represents the vertices of a triangle.

Let, ABC be the triangle,

So, A(0, 0), B(0, 3), C(3, 0).

Now, If [tex]T=\begin{bmatrix}0 & 0 & 3\\0 & 3 & 0\end{bmatrix}[/tex], Then [tex]3T=3\begin{bmatrix}0 & 0 & 3\\0 & 3 & 0\end{bmatrix}[/tex].

Therefore, [tex]3T=\begin{bmatrix}0 & 0 & 9\\0 & 9 & 0\end{bmatrix}[/tex].

Hence, The new vertices are, (0, 0), (0, 9), (9, 0).

learn more about matrices here :

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Related Questions

Evaluate each of the following expression giving the answer in scientific notation

Answers

Answer:

Step-by-step explanation:

[tex]A) 5.3*10^{4}+4.7*10^{4}= (5.3 + 4.7)*10^{4}=10*10^{4}=10^{5}\\\\\\B) 3.7*10^{6} - 3.3*10^{6}=(3.7-3.3)*10^{6}=0.4*10^{6}=4.0*10^{-1}*10^{6}=4.0*10^{6-1}=4.0*10^{5}\\\\\\C) 4.8*10^{-3}+6.3^{-2}=4.8*10^{-2}*10^{-1}+6.3*10^{-2}\\\\=(4.8*10^{-1} +6.3)*10^{-2}\\\\=(0.48+6.3)*10^{-2}\\\\=6.78*10^{-2}\\\\\\D)6.6*10^{-5}-6.1*10^{-4}=6.6*10^{-1}*10^{-4}-6.1*10^{-4}\\\\=(6.6*10^{-1}-6.1)*10^{-4}\\\\=(0.66-6.1)*10^{-4}\\\\= (-5.44)*10^{-4}[/tex]

8(2x + 3y)
In distributive property

Answers

Answer:

16x+24y

Step-by-step explanation:

8(2x+3y)

8*2x+8*3y

16x+24y

16x + 24y
8(2x) + 8(3y)

Yesterday, Janie walked 3
5
mile to a friend’s house, 1
4
mile to the store, and 3
8
mile to another friend’s house. Which is the best estimate of the distance Janie walked?

Three-fourthsmile
1 mile
1 and one-fourthmiles
2 miles

Answers

Answer:

1 and one-fourthmiles

Step-by-step explanation:

Answer:

C. 1 1/4

Step-by-step explanation:

i did the question

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Answer:

Option D:

Diagonals of a square bisect each other

Step-by-step explanation:

The diagonals of a square are equal and bisect each other at right angles and making the bisected parts equal.

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Without solving, determine the number of
solutions to 3x2 + 5x + 2 = -8. Show your work.

Answers

Answer:

2 solutions for this equation because the highest power is 2

2 because the highest power is 2

SOMEONE HELP ME ASAP IM STRESSING OUT

Answers

Answer:

Use SOHCAHTOA

Step-by-step explanation:

If you don't know what this is, it means Sin=opposite/hypotenuse, cos=adjacent/hypotenuse, tan=opposite/adjacent. There is more than 1 way to solve this, but here's how I did it.

Starting with part A, we are trying to find the hypotenuse of the triangle. We have an angle and the side opposite of that angle, so we can use the sin function.

Sin(54) = 12.2 / hypotenuse

Sin(54) * hypotenuse = 12.2

Hypotenuse = 12.2 / sin(54) = 15.1

Now for Part B

Finding the last angle

180-90-54=36

So now, we have this angle and the side adjacent to it. We are trying to find the opposite side, so let's use the tan function

Tan(36) = opp / 12.2

opp = tan(36) * 12.2 = 8.9

You can double check these answers using pythagorean theorem. Hope this helps

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Find the product of zeroes of the quadratic polynomial
[tex] {2x}^{2} – 13x + 15[/tex]

Answers

Step-by-step explanation:

[tex] consider \: \: {2x}^{2} - 13x + 15 = 0 \\ (2x - 3)(x - 5) = 0 \\ 2x - 3 = 0 \: \: \: \: \: or \: \: \: \: \: x - 5 = 0 \\ x = 1 \frac{1}{2} \: \: \: \: \: or \: \: \: \: \: x = 5 \\ \\ \\ hence \: the \: products \: of \: zero \: are \: x = 1 \frac{1}{2} \: and \: x = 5[/tex]

Which of the following is an irrational number?

Answers

√108 is an irrational number among following

Answer:

The first number

He second is a rational decimal number and the third equals to 8.

Is -2 a solution to 4x^(3)-x^(2)+16x-4

Answers

Answer:

Not a solution

Step-by-step explanation:

In order for [tex]x=-2[/tex] to be a solution, the result after substituting must be 0:

[tex]4(-2)^3-(-2)^2+16(-2)-4\stackrel{?}{=}0[/tex]

[tex]4(-8)-4-32-4\stackrel{?}{=}0[/tex]

[tex]-32-40\stackrel{?}{=}0[/tex]

[tex]-72\neq0[/tex]

Therefore, [tex]x=-2[/tex] is not a solution to [tex]4x^3-x^2+16x-4[/tex]

What is the ans of this?​

Answers

Step-by-step explanation:

everything can be found in the picture

Help me or i will kill Shrek!

Answers

Answer:

pls dont kill my dad.. i cant help but please. hes the only thing i have left man

Step-by-step explanation:

i would so help if i could but i just really dont want shrek dead

Don’t kill shrek he has a family

what is the surface area of the cylinder with the hight of 8 ft and the radius of 6 ft? round your answer to the nearest thousandths

Answers

Answer:

A = 301.593 ft^2

Step-by-step explanation:

The lateral area of a cylinder of radius r and height h is

A = 2πrh.  This does not include the areas of the ends of the cylinder.

Here that area is A = 2(3.14159)(6 ft)(8 ft), or

                             A = 301.593 ft^2

Express y in terms of x in the equation =

Answers

Answer:

y = 3/2x + 5

Step-by-step explanation:

2y - 3x - 10 = 0

2y = 3x + 10

y = 3/2x + 5

Kayla had m marbles. She gave 4 marbles to her cousin. Enter an expression to represent the number of marbles Kayla has now.

Answers

Answer:

[tex]m-4\\[/tex]

Step-by-step explanation:

[tex]m-4[/tex]

1/7 divided by 2/5 minus 1/7

Answers

1/7 divided by 2/5 is 5/14
5/14 minus 1/7 is 3/14

plz help me I will give u branist and follow u and also give u like plz help me​

Answers

Answer:

hi the answer is the first option, value assigned by the incorporation documents

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Quick, What is the value of x?

A. 2
B. 3
C. 6
D. 7

Answers

Answer:

Im pretty sure the answer is b using the formula

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57:18
A parabola has a vertex at (0,0). The focus of the parabola is located at (4,0).

What is the equation of the directrix?

x=−4
y=−4
x=4
y=4

Answers

it’s C, since it wasn’t going down we can assume it wasn’t a negative and it’s going up and the four is located where the X is (X,Y)

i need the base and hight

Answers

Answer:

Height = 5 and Base = 10

Step-by-step explanation:

The base of the parallelogram is twice the perpendicular height of the parallelogram. The area of the parallelogram is 50 cm².

Formula for area of parallelogram = base × height

Base = 2h

Height = h

∴ Area = 2h × h = 50

Solution:

2h × h = 50

2h² = 50

[tex]\frac{2h^{2} }{2} = \frac{50}{2}[/tex]

h² = 25

[tex]\sqrt{h^{2} } = \sqrt{25}[/tex]

h = 5

∴ height = 5 and base = 2(5) = 10

Nintendo is interested in the gaming experience of players for their new Mario Kart game . What type of survey should they use to gather the data?

Answers

Answer:

Online surveys

Explanation:

Online surveys will be the most suitable survey type here to gather gamers' experience with Nintendo's new game. Also being the most common and convenient type of surveys nowadays, online surveys are very much flexible and can be tailored to suit any audience, and even has a broader audience. Nintendo can use online surveys here to gather user's(all over the world) experience through their website, emailed to people directly etc. There is even a wider reach now considering the popular use of mobile devices.

What is the common solution for the equations y = 3x + 1 and y = x + 3? Write your answer an ordered pair!

Answers

Answer:

(1,4)

Step-by-step explanation:

Hi there!

We're given the system:

y=3x+1

y=x+3

We need to find the common solution (the point at which the lines intersect); we do this by finding the value of the variables.

Let's start with x

Since both equations equal y, we can make 3x+1 and x+3 equal to each other, because of a property known as transitivity (if a=b and b=c, then a=c)

3x+1=x+3

subtract 1 from both sides

3x=x+2

subtract x from both sides

2x=2

divide both sides by 2

x=1

we found the value of x

now we need to find the value of y

We do this by plugging x as 1 into either one of the equations to solve for y

let's use y=x+3 for example

substitute x as 1

y=1+3

add

y=4

we found the value of y.

Your question asks for the answer to be written as an ordered pair, which will be (1,4)

Hope this helps!

Answer:

(1, 4 )

Step-by-step explanation:

Given the 2 equations

y = 3x + 1 → (1)

y = x + 3 → (2)

Substitute y = 3x + 1 into (2)

3x + 1 = x + 3 ( subtract x from both sides )

2x + 1 = 3 ( subtract 1 from both sides )

2x = 2 ( divide both sides by 2 )

x = 1

Substitute x = 1 into either of the 2 equations and evaluate for y

Substituting into (2)

y = 1 + 3 = 4

solution is (1, 4 )

In parallelogram LMNP if PQ=21 find QM.

Answers

Answer:

QM = 21

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, then

QM = PQ = 21

Solve for n.

11(n – 1) + 35 = 3n

Answers

Answer:

n = -3

Step-by-step explanation:

11(n – 1) + 35 = 3n

Distribute

11n -11 +35 = 3n

Combine like terms

11n +24 = 3n

Subtract 11n from each side

11n+24 -11n = 3n -11n

24 = -8n

Divide by -8

24/-8 = -8n=-8

-3 =n

Answer: -3=n

Step 1: Rewrite equation

11(n-1)+35=3n

Step 2: Distribute

To distribute, you need to multiply the numbers on the outside of the parentheses with the numbers on the inside. To do so, you need to multiple 11•n and 11•-1.

11(n-1)+35=3n
11n-11+35=3n

Step 3: Combine like terms

“Like terms” are numbers that share the same variable, or lack of. To start, you must only combine like terms on the same side of the equation. In this case, the like terms are -11 and 35. Add these to combine like terms.

11n-11+35=3n
11n+24=3n

Step 4: Put variables on one side

It is important to keep variables on one side of the equation, and the constants on the other. To do so, we need to subtract 11n on both sides.

11n+24=3n
24=-8n

Step 5: Get n alone

In this final step, we need to get n alone to solve for the variable. To do so, we need to get rid of the -8 next to it. We can do this by diving 24 by -8 and diving -8n by -8.

24=-8n
-3=n

This is your final answer: 3=n. Hope this helps! Comment below for more questions.

I need help again plz

Answers

3 :)

6.231 has a 1 after the 3, meaning you keep the 3 instead of rounding it up to 6.24

what is logarithm in mathematics​

Answers

Answer:

Logarithm, the exponent or power to which a base must be raised to yield a given number.

A survey was done to determine the relationship between gender and subject preference. A total of

56 students were surveyed to determine if they liked math, English, social studies, or science as their

favorite subject. The results were then broken down based on whether the respondent was male or

female.

Answers

The question is incomplete. The complete question is :

A survey was done to determine the relationship between gender and subject preference. A total of  56 students were surveyed to determine if they liked math, English, social studies, or science as their  favorite subject. The results were then broken down based on whether the respondent was male or  female.

Which of the following is the closest to the joint relative frequency of being a male who likes social studies ?

Solution :

A two way table used in statistics and mathematics is used to show the frequencies or the relative frequencies for any two categorical variables.  One of the category is represented by the rows while the other categories by a column.

Here, in this table it is given that the total surveyed = 56 students

From the table, we know that number of males who likes social studies = 8

Therefore, the closest to the joint relative frequency for being a male who likes the subject social studies is given by :

[tex]$=\frac{8}{56}$[/tex]

[tex]$=\frac{1}{7}$[/tex]

=0.14

the average length of string a and string d is 10x cm . the average length of string b and string c is 8x cm . the average length of string b , c, d is 6x cm . find the length of string a is terms of x

Answers

Answer:

a= 18x

Step-by-step explanation:

(a+d)/2 = 10x   (1)

(b +c)/2 = 8x  (2)

(b+c+d)/3 = 6x (3)

From the equation 2, we have (b+c)= 8x *2 = 16x

From the equation 3, we have d= 6x*3 - (b+c)= 18x- 16x = 2x

From the equation 1, we have a= 10x*2 -d= 20x - 2x= 18x

These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two pink
marbles if the first one is NOT placed back
into
the bag before the second draw?
Give your answer as a rational number, reduced to
simplest terms.
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.​

Answers

Answer:

[tex]Pr = \frac{1}{45}[/tex]

Step-by-step explanation:

Given

[tex]Black =5[/tex]

[tex]Pink = 2[/tex]

[tex]Blue = 3[/tex]

Required

[tex]P(Pink\ and\ Pink)[/tex]

This is calculated as:

[tex]Pr = P(Pink) * P(Pink)[/tex]

Because it is a selection without replacement, the probability is:

[tex]Pr = \frac{n(Pink)}{Total} * \frac{n(Pink) - 1}{Total - 1}[/tex]

[tex]Pr = \frac{2}{10} * \frac{2 - 1}{10 - 1}[/tex]

[tex]Pr = \frac{2}{10} * \frac{1}{9}[/tex]

[tex]Pr = \frac{1}{5} * \frac{1}{9}[/tex]

[tex]Pr = \frac{1}{45}[/tex]

1
Select the correct answer from each drop-down menu.
The function () = 13 has been transformed, resulting in function h.
h(t) = -(1 + 2)2 – 4
To create function h, function fwas translated 2 units
„. translated 4 units
and reflected across the

Answers

Answer:

To create function h, function f was translated 2 units right , translated 4 units up and reflected across the x axis

Step-by-step explanation:

Given

[tex]f(x) = x^3[/tex]

[tex]h(x) =-(x + 2)^3 - 4[/tex]

Required

Complete chart

First: f(x) was translated right by 2 units

The rule of right translation is [tex](x,y) \to (x + 2,y)[/tex]

So, we have:

[tex]f'(x) = f(x + 2)[/tex]

[tex]f'(x) = (x + 2)^3[/tex]

Next: f'(x) was translated up by 4 units

The rule of down translation is [tex](x,y) \to (x,y+4)[/tex]

So, we have:

[tex]f"(x) = f'(x) +4[/tex]

[tex]f"(x) = (x + 2)^3 +4[/tex]

Lastly, f"(x) was reflected across the x-axis;

The rule of this reflection is: [tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]h(x) = -f"(x)[/tex]

[tex]h(x) = -[(x+2)^3 + 4][/tex]

Remove bracket

[tex]h(x) = -(x+2)^3 - 4[/tex]

Factor this expression completely, then place the factors in the proper location on the grid. A3y + 1

Answers

Answer: HI your question is incomplete/poorly attached below is the complete question

answer

( a + 3 ) , ( b + 2 )

Step-by-step explanation:

Given expression = ab + 2a + 3b + 6  

factorizing the expression completely we will have

  = a( b + 2 ) + 3 ( b + 2 )

hence the factors of the expression = ( a + 3 ) , ( b + 2 )

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