Tara is using matrix multiplication to find image points of a translation. She is translating the image 2 units left and 4 units up. Which should be her first matrix?

QUESTION POSTED AT 18/01/2020 - 07:35 AM

Answered by admin AT 18/01/2020 - 07:35 AM

Assuming that this is just on a 2-D coordinate plane, we must convert the expressions on to a 3-D plane since translation cannot be done on a 2-D plane. This is done by adding a dummy coordinate that does not change. Let us use "1" for this case.

Matrix:
| 0 0 -2 |(x) = (x - 2)
| 0 0 4  |(y) = (y + 4)
| 0 0 1  |(1) = 1
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Related questions

14.A company employee has to print 3145 pages, and the company's printer prints 85 pages per minute. The function f(x)=−85x+3145f(x)=−85x+3145 represents the number of unprinted pages x minutes after the printing begins. What is the practical domain of function f? all whole numbers from 0 to 37 all real numbers from 0 to 37 all real numbers from 0 to 3145 all multiples of 85 between 0 and 3145

F(x) = -85x + 3145...the domain is going to be the x value while the range is the f(x) value.

answer is going to be all whole numbers from 0 to 37

notice if u sub in 37 for x.....
f(37) = -85(37) + 3145
f(37) = - 3145 + 3145
f(37) = 0...that means after 37 minutes, there are no un-printed pages...all the pages have been printed. So ur answer would be greater then 0, but less then or equal to 37.....and they have to be whole numbers.....they cant be all real number because that includes irrational numbers.

ANSWERED AT 16/02/2020 - 07:04 PM


QUESTION POSTED AT 16/02/2020 - 07:04 PM

5. What is an equation for the line with slope and y-intercept 9? (1 point) y = x y = 9x y = x + 9 y = 9x +  6. What is an equation in slope-intercept form for the line that passes through the points (1, –3) and (3, 1)? (1 point) y = 3x + 1 y = x – 3 y = 2x + 5 y = 2x – 5

6.) y - (-3) = (1 - (-3))/(3 - 1) (x - 1)
y + 3 = (1 + 3)/2 (x - 1)
y + 3 = 4/2 (x - 1)
y + 3 = 2(x - 1) = 2x - 2
y = 2x - 2 - 3 = 2x - 5
y = 2x - 5

ANSWERED AT 16/02/2020 - 07:04 PM


QUESTION POSTED AT 16/02/2020 - 07:04 PM

Which is the correct description of the transformation of triangle JKL to triangle JꞌKꞌLꞌ? A.a 90° clockwise rotation around point A of pre-image JKL B.a 90° counterclockwise rotation around point A of pre-image JKL C.a 180° clockwise rotation around point A of pre-image JKL D.a reflection across point A of pre-image JKL

"A 90° clockwise rotation around point A of pre-image JKL" is the one among the following choices given in the question that is the correct description of the transformation of triangle JKL to triangle JꞌKꞌLꞌ. The correct option among all the options that are given in the question is the first option or option "A".

ANSWERED AT 16/02/2020 - 06:45 PM


QUESTION POSTED AT 16/02/2020 - 06:45 PM

W hich of the following are you not likely to see on a graph? dependent variable, units, independent variable, prediction ...?

Answer: Fourth option is correct.

Step-by-step explanation:

On graph, we can display dependent variables, units, independent variables , because they can be expressed in numbers easily.

Whereas prediction is not competent every time to get expressed with numerical terms.

Hence, prediction is not likely to see on the graph.

Thus, Fourth option is correct.

ANSWERED AT 16/02/2020 - 06:40 PM


QUESTION POSTED AT 16/02/2020 - 06:40 PM

Find the area of the regular polygon. Give the answer to the nearest tenth. dodecagon with a perimeter of 108 cm ...?

A regular dodecagon is a polygon with 12 equal sides.
Length of each side = 108/12 = 9 cm.

Length of the apothem = (9/2)/tan 15 = 9/2tan 15 = 16.79 cm

Area of each triangle = 9/2(16.79) = 75.57 cm^2

Therefore, area of the dodecagon = 12(75.57) = 906.9 cm^2

ANSWERED AT 16/02/2020 - 06:36 PM


QUESTION POSTED AT 16/02/2020 - 06:36 PM

Write a proportion that can be used to find the cost of 10 notebooks if 3 notebooks cost $1.98.

The solution to the problem is as follows:


For 3 notebooks you pay $1.98 so the ratio is 1:0.66.
For 10 notebooks, then we could scale the ratio and it will become 10:6.60. So they will cost you $6.60.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

ANSWERED AT 16/02/2020 - 06:35 PM


QUESTION POSTED AT 16/02/2020 - 06:35 PM

Is the line through points P(–8, –10) and Q(–5, –12) perpendicular to the line through points R(9, –6) and S(17, –5)? Explain. ...?

Answer: No, the line through points P(–8, –10) and Q(–5, –12) is not perpendicular to the line through points R(9, –6) and S(17, –5).

Step-by-step explanation:

Two lines are called perpendicular to each other if the product of their slope is -1.

Since, the slope of a line having end points (x_1,y_1) and (x_2,y_2) is,

m=\frac{y_2-y_1}{x_2-x_1}

Thus, the slope of line Joining points P(–8, –10) and Q(–5, –12),

m_1=\frac{-12+10}{-5+8}=\frac{-2}{3}=-\frac{2}{3}

While, The slope of line Joining points R(9, –6) and S(17, –5),

m_2=\frac{-5+6}{17-9}=\frac{1}{8}

Since,

m_1\times m_2=-\frac{2}{3}\times \frac{1}{8}=-\frac{1}{12}\neq -1

Thus, the line through points P(–8, –10) and Q(–5, –12) is not perpendicular to the line through points R(9, –6) and S(17, –5).

ANSWERED AT 16/02/2020 - 06:35 PM


QUESTION POSTED AT 16/02/2020 - 06:35 PM

Find two fractions with the difference of 1/5 but with neither denominator equal to 5

The two fractions with the difference of 1/5 but with neither denominator equal to 5 is 4/10 and 2/10.

ANSWERED AT 16/02/2020 - 06:32 PM


QUESTION POSTED AT 16/02/2020 - 06:32 PM

A rectangular table is two times as long as it is wide. If the area is 50ft^2, find the length and the width of the table.

10ftx5ft .........................................................................................................................................................................................................................................................................................

ANSWERED AT 16/02/2020 - 06:32 PM


QUESTION POSTED AT 16/02/2020 - 06:32 PM

Victoria made some chocolate pudding. For every 2 cups of chocolate, she added 5 cups of milk. The ratio of chocolate to milk in Victoria's chocolate pudding is ____. (1 point)

2:5

because 2 cups of chocolate to 5 cups of milk the ratio would be 2:5 u can't put 5:2 because it's asking the ratio of chocolate milk to chocolate pudding not chocolate pudding to chocolate milk.

~PrinncessAngel~

Happy To Help:D

ANSWERED AT 16/02/2020 - 06:23 PM


QUESTION POSTED AT 16/02/2020 - 06:23 PM

Which operation should you perform first when you simplify 175 - (8 + 45 / 3) * 7? A. Addition B. Division C. Multiplication D. Subtraction PLEASE ANSWER THIS IM IN A HURRY

Answer:

B. Division

Step-by-step explanation:

We have been given an expression 175-(8+\frac{45}{3})*7. We are asked to determine which operation will we use first to simplify our given expression.

Using order of operations PEMDAS, we will remove parenthesis first. To remove parenthesis, we need to simplify \frac{45}{3}.

Therefore, we will use division first to simplify our given expression.

ANSWERED AT 16/02/2020 - 06:17 PM


QUESTION POSTED AT 16/02/2020 - 06:17 PM

Given ghi with g(4 -3), H (-4, 2), and I (2, 4), find the perpendicular bisector of HI in standard form

GI is the bisector of the perpendicular bisector.

ANSWERED AT 16/02/2020 - 06:06 PM


QUESTION POSTED AT 16/02/2020 - 06:06 PM

Which of the four triangles was formed by a translation of triangle XYZ? A B C D

Answer:

Options A & B

Step-by-step explanation:

Given is a triangle XYZ in the I quadrant.  There are four more triangles A, B,C and D given.

We have to find that which one is the translation of XYZ

We know that by translation we must get a congruent triangle as XYZ.

By simply seeing we can say that C and D are not congruent with XYZ.

So these two are eliminated

Remaining are A and B.

Both A and B are right

This is because XYZ is transformed into B by shifting 7 units horizontal to the left.

A is the reflection of B about x=-5.5

Thus both A and B are right

ANSWERED AT 16/02/2020 - 06:03 PM


QUESTION POSTED AT 16/02/2020 - 06:03 PM

Find two numbers whose sum is 30, and whose difference is 26

Yea umm Im not sure but 2, 28?

ANSWERED AT 16/02/2020 - 06:02 PM


QUESTION POSTED AT 16/02/2020 - 06:02 PM

Fill in the blank: To find the values of p, q, r and s, you should start by finding all factor ___ of the leading coefficiant and constant term. Then try them to determine which ones give you the correct product ...?

I can be wrong, but I think that the answer is: To find the values of p, q, r and s, you should start by finding all factor pairs of the leading coefficiant and constant term. 

ANSWERED AT 16/02/2020 - 05:35 PM


QUESTION POSTED AT 16/02/2020 - 05:35 PM

determine whether multiplication by A is one to one linear transformation a)A=[ 1 -1 2 0 3 -4] b) A=[ 1 2 3 -1 0 4] ...?

To know if the given matrix is one to one linear transformation, Row reduce the Matrix A and if it has free variables in it it means it is not a one to one linear transformation.

So, we take A and apply Row Operation and get the following matrix
 
1 0 0
0 1 0
0 0 0

As, it has free variables in it, it means it is not a one to one linear transformation.

Hope it helps :)

ANSWERED AT 16/02/2020 - 05:34 PM


QUESTION POSTED AT 16/02/2020 - 05:34 PM

A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x) = 100x − 0.2x2, where the revenue R(x) is measured in dollars. What is the maximum revenue, and how many units should be manufactured to obtain this maximum? ...?

The extrema of a function happen when the derivative is equal to zero. So first we calculate the derivative:R′(x)=100−0.4x
And then we solve:0=100−0.4x
0.4x=100
x=250 units
Now we can substitute back into the original equation to calculate the revenue:R(250)=100(250)−0.2(2502)
R(250)=$12500

ANSWERED AT 16/02/2020 - 05:33 PM


QUESTION POSTED AT 16/02/2020 - 05:33 PM

One number is 3 less than twice another. If their sum is 39, find the numbers. Which of the following systems of equations represents the word problem? A.y = 2x - 3 and y = x + 39 B.y = 2x - 3 and x + y = 39 C.y = 2(x - 3) and x + y = 39 ...?

Let

y------> one number

x-----> another number

we know that

y=2x-3 ------> equation A

x+y=39 ------> equation B

substitute equation A in equation B

x+[2x-3]=39

3x=39+3

x=42/3=14

Find the value of y

y=2*14-3=25

the numbers are 25 and 14

therefore

the answer is the option B

y=2x-3 and x+y=39

ANSWERED AT 16/02/2020 - 05:32 PM


QUESTION POSTED AT 16/02/2020 - 05:32 PM

The medians of a triangle are the line segments from each vertex to the midpoint of the opposite side. Find the lengths of the medians of the triangle with vertices at A=(0,0), B=(6,0), C=(4,4) ...?

Answer:

\sqrt{29} , \sqrt{20} , \sqrt{17}

Step-by-step explanation:

Consider ΔABC with vertices A\left ( 0,0 \right )\,,\,B\left ( 6,0 \right )\,,\,C\left ( 4,4 \right ) such that P , Q , R are midpoints of sides BC , AC and AB .

We know that midpoint of line segment joining points \left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right ) is equal to \left ( \frac{x_1+x_2}{2}\,,\,\frac{y_1+y_2}{2} \right )

Midpoints P , Q , R :

P\left ( \frac{6+4}{2}\,,\,\frac{0+4}{2} \right )=P\left ( 5\,,\,2 \right )\\Q\left ( \frac{0+4}{2}\,,\,\frac{0+4}{2} \right )=Q\left ( 2\,,\,2 \right )\\R\left ( \frac{6+0}{2}\,,\,\frac{0+0}{2} \right )=R\left ( 3\,,\,0 \right )

We know that distance between points \left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right ) is given by \sqrt{\left ( x_2-x_1 \right )^2+\left ( y_2-y_1 \right )^2}

Length of AP :

AP = \sqrt{\left ( 5-0 \right )^2+\left ( 2-0\right )^2}=\sqrt{25+4}=\sqrt{29}

Length of BQ :

BQ = \sqrt{\left (2-6 \right )^2+\left ( 2-0 \right )^2}=\sqrt{16+4}=\sqrt{20}

Length of CR :

\sqrt{\left (3-4\right )^2+\left ( 0-4 \right )^2}=\sqrt{1+16}=\sqrt{17}

ANSWERED AT 16/02/2020 - 05:32 PM


QUESTION POSTED AT 16/02/2020 - 05:32 PM

name the property used in each equation. then find the value of n. 2.) 1·n=8 3.) 28·n=0 4.) 0+n=22 5.) 1/4·n=1

2. n = 8 (Identity property)
3. n = 0 (Zero Property)
4. n = 22 (Additive Identity Property)
5. n = 4 (Fractal property)

ANSWERED AT 16/02/2020 - 05:29 PM


QUESTION POSTED AT 16/02/2020 - 05:29 PM

Consider the planes 2x + 1y + 5z = 1 and 2x + 5z = 0. (A) Find the unique point P on the y-axis which is on both planes. ( ? , ? , ? ) (B) Find a unit vector u with positive first coordinate that is parallel to both planes. ? I + ? J + ? K (C) Use the vectors found in parts (A) and (B) to find a vector equation for the line of intersection of the two planes,r(t) = ? I + ? J + ? K

B is easy, given 2x + 1y + 5z = 1 and 2x + 5z = 0, normal vectors of those planes are (2,1,5) and (2,0,5), cross product will give the parallel vector, divide by its length so it gives the unit vector

ANSWERED AT 16/02/2020 - 05:29 PM


QUESTION POSTED AT 16/02/2020 - 05:29 PM

Angle ABD and angle BDE are supplementary. Find the measures of both angles. m angle ABD =5x degrees, m angle BDE = (17x-18)degrees

By definition of supplementary angles,
∠ABD + ∠BDE = 180
5x + 17x - 18 = 180
22x = 198
x = 9

∠ABD = 5(9) = 45°
∠BDE = 180 - 45 = 135°

ANSWERED AT 16/02/2020 - 05:29 PM


QUESTION POSTED AT 16/02/2020 - 05:29 PM

Translate this word phrase into an equation. one increased by two equals the quotient of nine and three

Here is the equation for this word phrase:
1 + 2 = 9 / 3
Quotient is the result of division. 

ANSWERED AT 16/02/2020 - 05:26 PM


QUESTION POSTED AT 16/02/2020 - 05:26 PM

Suppose cos(π/2−x) =3/5, cos x =4/5 find sin, tan, csc, sec, cot

Cos (π/2 - x) = sin x = 3/5
tan x = sin x / cos x = 3/5 / 4/5 = 3/4
csc x = 1/sin x = 1 / 3/5 = 5/3
sec x = 1/cos x = 1 / 4/5 = 5/4
cot x = 1/tan x = 1 / 3/4 = 4/3.

ANSWERED AT 16/02/2020 - 05:26 PM


QUESTION POSTED AT 16/02/2020 - 05:26 PM

Find Dxy using the rules for finding derivatives. =(5x^2−8)(9x^2−3x+5)

You can do foil method first, to make it easier and to avoid product rule,
y= 45x^4 - 15x³ + 25x² - 72x² + 24x - 40
Simplify like terms,
y= 45x^4 - 15x³ - 47x² + 24x - 40
Now, find derivative,
dy/dx  = 180x³ - 45x² - 94x + 24 

ANSWERED AT 16/02/2020 - 05:13 PM


QUESTION POSTED AT 16/02/2020 - 05:13 PM

How do i find the slope if i know it passes through two points??

Well you would use the equation y2-y1/x2-x1 to find any slope

ANSWERED AT 16/02/2020 - 04:36 PM


QUESTION POSTED AT 16/02/2020 - 04:36 PM

The price of a gallon of unleaded gas was $2.89 yesterday. Today, the price fell to $2.82 . Find the percentage decrease. Round your answer to the nearest tenth of a percent

If u have $2.89 yesterday so you need to times $2.82 so I need th0 in the 10th percent so when u times 

ANSWERED AT 16/02/2020 - 04:11 PM


QUESTION POSTED AT 16/02/2020 - 04:11 PM