Short answers
a) For each matrix, describe the transformation that is
achieved.
b)
A further transformation matrix D is required which combines
the effects of matrices A and B. Explain why care must be
taken in the ordering of transformation matrices.
Answers
This could result in an unexpected transformation. Therefore, the order of the matrices must be taken into account when combining them.
What is matrix?Matrix is a mathematical entity composed of elements arranged in rows and columns. It is used to represent and manipulate various types of data and is commonly used in scientific and engineering applications. Matrices are useful for representing linear equations and transformations of vector spaces, such as scaling and rotation. They can also be used to store data and perform calculations on that data.
Matrix A is a scaling matrix which is used to change the size of an object. This transformation is achieved by multiplying each component of the vector by a value, resulting in a larger or smaller object.
Matrix B is a rotation matrix which is used to rotate an object. This transformation is achieved by multiplying each component of the vector by a coefficient which is then added to the other components, resulting in a rotated object.
Matrix D is a combination of matrices A and B, where the effects of matrix A are applied first and then the effects of matrix B are applied. Care must be taken when combining the two matrices because the order of the transformations matters; applying the effects of matrix B first would result in a different transformation than applying the effects of matrix A first. If matrix B is applied first, it will rotate the object before it is scaled, meaning that the scaling will be applied to the already-rotated object. This could result in an unexpected transformation. Therefore, the order of the matrices must be taken into account when combining them.
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Related Questions
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answers
Answer:
y= 9 x= -42
Step-by-step explanation:
Which equation shows this volume formula solved for h?
Answers
Answer:
Step-by-step explanation: the answer is B i think
Answer:
A
Step-by-step explanation:
[tex]V = \frac{nd^2h}{6}[/tex]
multiply both sides by 6
[tex]6V = nd^2h[/tex]
divide both sides by [tex]nd^2[/tex]
[tex]\frac{6V}{nd^2} = h[/tex]
So the answer is A.
Find the volume of a cuboid of dimensions 4 cm x 2 cm x 3 cm
Answers
Answer:
24 cm^3
Step-by-step explanation:
4x2x3=24
Benjamin has 16 coins in his wallet consisting of quarters and dimes. The total worth of
the coins is $3.10. Benjamin created two linear equations to model this scenario, where
q represents the number of quarters in his wallet, and d represents the number of
dimes.
Answers
Answer:
6 dimes & 10 quarters
Step-by-step explanation:
Here are the two equations. The first one deals with the numbers of coins. The second one deals with the values of the coins.
d + q = 16
0.1d + 0.25q = 3.1
Solve the first equation for d and plug into the second equation.
d = 16 - q
0.1(16 - q) + 0.25q = 3.1
1.6 - 0.1q + 0.25q = 3.1
0.15q = 1.5
q = 10
d + q = 16
d + 10 = 16
d = 6
Answer: 6 dimes & 10 quarters
Benjamin has 6 dimes and 10 quarters.
What is linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
Given that two equations,
d + q = 16
0.1d + 0.25q = 3.1
Where q represents the number of quarters in his wallet, and d represents the number of dimes.
d = 16 - q
0.1(16 - q) + 0.25q = 3.1
1.6 - 0.1q + 0.25q = 3.1
0.15q = 1.5
q = 10
d + q = 16
d + 10 = 16
d = 6
Hence Benjamin has 6 dimes and 10 quarters.
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Automobiles traveling on a road with a posted speed limit of 65 miles per hour are checked for speed by a state police radar system. The following is a frequency distribution of speeds. Speed (miles per hour) Frequency 45 up to 55 50 55 up to 65 325 65 up to 75 275 75 up to 85 25 picture Click here for the Excel Data File The mean speed of the automobiles traveling on this road is the closest to ____.
Answers
Answer:
The mean speed of the automobiles traveling on this road is the closest to 64 miles per hour
Step-by-step explanation:
Given
[tex]\begin{array}{cc}{Speed} & {Frequency} & {45-55} & {50} & {55-65} & {325} & {65-75} & {275} & {75-85} & {25} \ \end{array}[/tex]
Required
Calculate the mean
First, calculate the midpoint (x)
For 45 - 55: [tex]x = \frac{1}{2}(45+55) = 50[/tex]
For 55 - 65: [tex]x = \frac{1}{2}(55+65) = 60[/tex]
For 65 - 75: [tex]x = \frac{1}{2}(65+75) = 70[/tex]
For 75 - 95: [tex]x = \frac{1}{2}(75+85) = 80[/tex]
So, we have:
[tex]\begin{array}{ccc}{Speed} & {Frequency} & {x} & {45-55} & {50} & {50} & {55-65} & {325} & {60} & {65-75} & {275} &{70} & {75-85} & {25} &{80}\ \end{array}[/tex]
The mean is then calculated as:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
[tex]\bar x = \frac{50*50+325*60+275*70+25*80}{50+325+275+25}[/tex]
[tex]\bar x = \frac{43250}{675}[/tex]
[tex]\bar x = 64.07[/tex]
[tex]\bar x = 64[/tex] --- approximated
Are there any supplementary, vertical, or complimentary angles? If so wich ones
Answers
Supplementary: N and M
Supplementary angles: A pair of angles whose sum is equal to 180°.
Vertical: N and R
Vertical angles: A pair of angles that are made by two intersecting lines.
Complimentary: P and Q
Complimentary angles: A pair of angles whose sum is equal to 90°.
Hope this helps! :D
what must be added to each term of the ratio 3:5, so that it becomes 4:5
Answers
Answer:
5 must be added to both the terms to get the ratio 4:5.
Step-by-step explanation:
(3+x)/(5+x)=4/5
Therefore,
15+5x=20+4x
=5x-4x=20-15
=x=5
I hope it's helpful!
Answer:
3+y/5+y=4/5
let y be the no.to be added
5(3+y)=4(5+y)
15+5y=20+4y
-5= -y
y=5
Alex has 100. He spends 3/10of it on candies. He spends one-seventh of what's left on colour pencils. How
much money is Alex left with?
Answers
Answer:
$60
Step-by-step explanation:
3 tenths of 100 is 30
1 * 10 is 10
100 - 30 + 10
= 100 - 40
= $60
plz help i have 4 ins
Answers
Write an equation in slope-intercept form of a line that has a slope of 1/5 and a y-intercept of 4.
Answers
Answer:
y=1/5x+4
Step-by-step explanation:
one boy has 63k and another 59k .if they share it equally,how much does each of them get
Answers
Answer:
61k
Step-by-step explanation:
63+59=122
122/2=61
Answer:
61000
Step-by-step explanation:
First add 63K + 59K. You'll get 122K. Then divide that number by two. You'll get 61 K, which is 61000.
K(2, 7), L(6, 12), M(13, 13), N(9,8) (Slope Formula)
prove whether the quadrilateral is a parallelogram
Answers
Answer:
Yes, it's a parallelogram
Step-by-step explanation:
Slope Formula: y2-y1/x2-x1
KL: 12-7/6-2 = 5/4
LM; 13-12/13-6 = 1/7
MN: 8-13/9-13 = 5/4
KN: 7-8/9-2 = 1/7
Since angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.
20 + 30 + 90 + 2 + 278 + 7 + 2891 + 29 = Whats the answer?
Answers
Answer:
3347 is the answer. Hope that helps
Answer:
3347
Step-by-step explanation:
20+30=50
50+90=140
140+2=142
142+278=420
420+7=427
427+2891=3318
3318+29=3347
Select the expression that is equivalent to 2b+ 5 + 6b − 2b − 1.
Answers
Step-by-step explanation:
no entiendo.....aaaaa
Answer:
6b+4
Step-by-step explanation:
A figure is reflected across the x-axis, then reflected across the y-axis.
Which of the transformations will not always produce the same result?
A. Reflection of each point on the figure across the origin
B. Rotation of 180°
C. Reflection across the y-axis, then across the x-axis
D. Reflection across the line y=x
Answers
(1,−1)and(6,9) Write the slope-intercept form of the equation of the line through the given points.
Answers
Answer:
2
Step-by-step explanation:
So first you would do y2-y1/x2-x1
9-(-1)/6-1
10/5=
2
Steps are on paper.
And if you need more explanation, you can ask on the comment.
solve all 5 questions for 62 points if they are correct you will be marked brainiest
Answers
Answer:
1.0.003
2.40 minutes
3.a,e
4.a,c,d
5.1/24
Step-by-step explanation:
HURRY IM TIMED!!!
Select all the expressions that are equivalent to 21.
A.210 ÷ 10
B.741 ÷ 39
C.630 ÷ 30
D.756 ÷ 36
E.200 ÷ 10
Answers
Answer:
A, C, and D
Step-by-step explanation:
Answer: A - C - D
Step-by-step explanation:
A= 21
B= 19
C= 21
D= 21
E= 20
Natalie earned a grade of 72% on her multiple choice history final that had a total of 200 problems. How many problems on the final exam did Natalie get wrong?
Answers
Answer:56
Step-by-step explanation:
72% of 200= 144
200-143=56
Whoever answers first gets brainliest
Answers
Step-by-step explanation:
nasaan po ang tanong, where is the question
What is 36divided by 6.
Answers
Answer:
6
Step-by-step explanation:
It is six because 6x6=36
Please help me there is a picture right there
Answers
Answer:
90 mm^2
Step-by-step explanation:
split into two rectangles.
First rectangle: 5 x 6 = 30 mm^2
Second rectangle: 10 x 6 = 60 mm^2
30 + 60 = 90 mm^2
Answer:
90 [tex]mm^{2}[/tex]
Step-by-step explanation:
Hi!
What we have over here is a composite figure.
Basically, it's made up of different shapes
We can either make a rectangle by making a horizontal line from the point in between 6 mm and 5 mm
Or we can make a rectangle by going verticle from the point in between 6 mm and 5 mm
Either way, we have two rectangles now, and we can use our formula [tex]l*w[/tex] to find the area.
For the first example, we would do:
[tex]6*5[/tex] [tex]=30[/tex]
[tex]6*10=60[/tex]
Then we add the two areas of the two rectangles:
[tex]60+30=90[/tex] [tex]mm^{2}[/tex]
For the second example, we would do:
[tex]5*6=30[/tex]
[tex]5*12=60[/tex]
[tex]60+30=90[/tex] [tex]mm^{2}[/tex]
Just cut the figure into shapes you can calculate the area of and you should be good to go!
Let me know if you have any questions
Does anyone kno dis answer for me
Answers
Answer:
answer below:)
Step-by-step explanation:
since s2= 6.2, then:
cos L= [tex]\frac{adjacent side }{hypotenuse side}[/tex]= [tex]\frac{6.2}{7\\}[/tex]
Help me pls and pls show work
Answers
Answer:
if you need it as improper then 25/12
Step-by-step explanation:
how do u answer 1/2x + 3/8 = 1/6
Answers
Answer:
-5/12
Step-by-step explanation:
you need to simplify both sides of the equasion, then isolate the variable
Please help me!!!!
Eight students share 12 mini oatmeal muffins equally and 6 students share 27 mini apple muffins equally.
Carmine is in both groups of students.
What is the total number of mini muffins Carmine gets?
Carmine gets
muffins.
Answers
Step-by-step explanation:
oatmeal 12/8 = 1.5 per student
apple 27/6 = 4.5 per student
carmine gets 1.5 + 4.5 = 6 muffins
Answer:
Step-by-step explanation:
(12 oatmeal)/(8 students) = (1.5 oatmeal)/student
Each student gets 1.5 oatmeal muffins.
(27 apple)/(6 students) = (4.5 apple)/student
Each student gets 4.5 apple muffins.
Carmine gets 1.5 oatmeal plus 4.5 apple = 6 muffins
Round off to the nearest
3,142
Answers
Need help getting a equation that you distribute that will equal x=6
Answers
16 - 10 = 6
x = 6
Answer:
x+6=10-4+6
x=6+6-6
x=6
Which pair of functions are inverses?
A.f(x) = 2x + 1, g(x) = 2x - 1
B. f(x)=3x+2. g(x)= 1/3x-2/3
C. f(x) = 4x, g(x) = -4x
D. f(x)= x+1/5, g(x)= x+5
Answers
Answer:
3
Step-by-step explanation:
2 plus 1 is 3
Equation A: y = -9x + 14
Equation B: y = x - 6
What is the solution ( , ) to the given set of equations?
Answers
Answer:
compare both the equation we get,
X-6 = -9x+14
or, 10X =20
or, X= 2
Y=X-6
or, Y= 2-6
or, Y= -4
hence the solution is (2,-4)