The graph shows the result of matrix operation AB, where the pre-image has dashed lines. Which matrix could represent B?
Answers
Matrix operations includes the addition, multiplication and subtraction of matrices
The correct option for the matrix that can be used to represent B is option D)
[tex]D) = \left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex]
The reason the above option is correct is as follows:
From the graph, we have that the coordinates of the preimage are;
(-6, 5), (-3, 9), and (6, 5)
The coordinates of the preimage in matrix form is given as follows;
[tex]\left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex]
The coordinates of the image are;
(-6, -5), (-3, -9), and (6, -5)
The coordinates of the image in matrix form is given as follows;
[tex]\left[\begin{array}{rrr}6&-3&-6\\-5&-9&-5\end{array}\right][/tex]
The above image matrix can be obtained from the primage matrix as follows:
[tex]\left[\begin{array}{rrr}1&0\\0&-1\end{array}\right]\left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right] = \left[\begin{array}{rrr}6&-3&-6\\-5&-9&-5\end{array}\right][/tex]
Which is of the form AB = C
Where;
[tex]A = \left[\begin{array}{rrr}1&0\\0&-1\end{array}\right][/tex]
[tex]B = \left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex]
[tex]C = \left[\begin{array}{rrr}6&-3&-6\\-5&-9&-5\end{array}\right][/tex]
Therefore, the matrix that could represent B is [tex]\left[\begin{array}{rrr}6&-3&-6\\5&9&5\end{array}\right][/tex] which is option D)
Learn more about matrix operations here:
https://brainly.com/question/17058708
Related Questions
Find the values of the trigonometric functions of t from the given information. sec(t) = 2, terminal point of t is in Quadrant IV
Answers
Answer:
The values of the trigonometric functions of t
[tex]$\sin t=-\frac{\sqrt{3} }{2}[/tex]
[tex]\cos t=\frac{1}{2},[/tex]
[tex]\tan t=-\sqrt{3}[/tex]
[tex]$\csc t-\frac{2}{\sqrt{3} }[/tex]
[tex]\sec t=2[/tex]
[tex]\cot t=\frac{1}{\sqrt{3} }[/tex]
Step-by-step explanation:
Given:
[tex]\sec(t)=2[/tex]
The terminal point of [tex]t[/tex] is in Quadrant [tex]IV[/tex]
Step 1:
To find the values of trigonometric functions of t
[tex]\sec(t)=\frac{H}{A}[/tex]
[tex]=\frac{2}{1}[/tex]
Analyze the figure and find the value of O
[tex]t[/tex] ∈ [tex]IV[/tex]
[tex]O=\sqrt{2^{2}-1^{2} }[/tex]
[tex]=\sqrt{4-1}[/tex]
[tex]=\sqrt{3}[/tex]
Step 2:
[tex]$\sin t=-\frac{O}{H}[/tex]
[tex]=-\frac{\sqrt{3} }{2}[/tex]
[tex]\cos t=\frac{A}{H}[/tex]
[tex]=\frac{1}{2}[/tex]
[tex]\tan t=-\frac{O}{A}[/tex]
[tex]=-\sqrt{3}[/tex]
[tex]$\csc t=-\frac{H}{O}[/tex]
[tex]=-\frac{2}{\sqrt{3} }[/tex]
[tex]\sec t=\frac{H}{A}[/tex]
[tex]=\frac{2}{1}[/tex]
[tex]\cot t=-\frac{A}{O}[/tex]
[tex]=\frac{1}{\sqrt{3} }[/tex]
Learn more about trigonometry functions, refer:
https://brainly.com/question/16693162The (minmum or maximum) value is __?
Can someone help me please, thank you
Answers
Answer:
-1 ,+1 i hope it helps mark me as brainliest
please show work hahah I really suck with these equations f – 6 = -2f + 3(f – 2)
Answers
Step-by-step explanation:
I tried my best to answer this question I guess this would help
Josef has $300 to spend. Which inequality could help him find the maximum number of gifts, x, he could buy if he needs $215 to fix his car and then wants to spend $15 on each gift?
Answers
Answer:
x = (300 - 215)/15
Step-by-step explanation:
x, the amount of gifts, is equal to the amount of money left over after he fixes his car, divided by the amount he's willing to spend on each gift.
josef could buy a maximum of 5 gifts! the answer is 5.6 but he can't buy half a gift, nor can he afford 6, so we round down to get 5 gifts :)
Answer:
Josef can buy 5 gifts for 75$
x=15 is this a function how do you do it
Answers
Answer:
Step-by-step explanation:
A triangle has vertices A (0,0) B (2,6) and (0,4) Rotate it 180 clock wise about the origin followed by a dilation with a scale factor of 3 find the coordinates of the vertices of A’ B’ C’ and state whether the two triangles are congruent or similar
Answers
9514 1404 393
Answer:
A'(0, 0), B'(-6, -18), C'(0, -12)Step-by-step explanation:
Rotation 180° is the transformation ...
(x, y) ⇒ (-x, -y)
Dilation by a factor of 3 is the transformation ...
(x, y) ⇒ (3x, 3y)
The two transformations together can be described by ...
(x, y) ⇒ (-3x, -3y)
That is, the coordinates of A, B, C are each multiplied by -3. The image vertices are ...
A' = -3A = A'(0, 0) . . . . . . . . the center of rotation and dilation is invariant
B' = -3B = B'(-6, -18)
C' = -3C = C'(0, -12)
Any dilated figure will not be congruent to the original. The triangles are similar.
Solve
| 2x + 6 | = x
Answers
Answer:
1) soln,
or,2x+6=x
or,2x-x= -6
or,x= -6
•°•x= -6 Ans#
Use the diagram to find the measures of the lengths of the sides. The perimeter of the trapezoid on the right is 93
inches.
Answers
Answer:
Step-by-step explanation:
Answer:
wait- i think its this: 14, 14, 21, 47
Step-by-step explanation:
Which irrational number is between 9 and 10?
Answers
9^2 = 81
10^2 = 100
Which of those numbers listed under a the square root is between 81 and 100?
select the correct answer
1.caul will be the measure of one of the legs of a right triangle, if its hypotenuse is 10 cm and leg b is 6 cm, what will be the measure of leg a?
a) 8 cm
b) 5 cm
c) 4 cm
d) 12 cm
please
Answers
Answer:
answer us a) 8cm
Step-by-step explanation:
a^2 + 6^2 = 10^ 2
a^2 + 36 = 100
subtract 36 from 100
a^2 = 64
square root of 64 is 8
Please help now. I’m very confused and i don’t no how to do this. I don’t want just the answer but a great explanation.
Answers
Answer:
First option
Step-by-step explanation:
Hi there!
The "constant additive rate of change" means a constant slope.
The slope is [tex]\displaystyle\frac{change \hspace{4} in \hspace{4} y}{change \hspace{4} in \hspace{4} x}[/tex].
First of all, if the slope is constant, then we know immediately that it must be a linear function, a line. The change in y is forever the same according to the change in x. Knowing this, the second option is for-sure wrong (it's not a straight line).
Now, let's look at the first option. It is a linear function, which means it has a constant slope. However, we're given that the slope is [tex]-\displaystyle \frac{1}{4}[/tex]. This means that for a line, whenever it travels 4 units to the right, it travels 1 unit down (it travels down whenever the slope is negative and up whenever the slope is positive).
This is the exact case for the first option. Look at the point (-2,2) on the line. When we move 4 units to the right of that point, The line would have moved 1 unit down. We would reach the point (2,1).
Therefore, the correct answer would be the first option.
I hope this helps!
If f(x)=5x-11 what is f(1)? f(3)?
Answers
Answer:
jhbgjbfvjbdfkvbdkbnxkhfb kxvnxkvbfvkbchbfcnccfkxkhvchjjj
Step-by-step explanation:
dywfrfvyetwfkfgffyffusofgsjfdgsdlcgslvgsivsfgfisfgisfdyfdic
Step-by-step explanation:
Hi there!
Given;
f(x) = 5x-1
Now; Simply keep the value of x in the given function.
f(1) = 5*1-11
= -6
Again;
f(3) = 5*3-11
= 15-11
= 4
Therefore, f(1) = -6 and f(3) = 4.
Hope it helps!
Help fast! Round the measurement 1258 mL into three significant figures
Answers
Answer:
1000mL, 1300mL and 1260mL
Step-by-step explanation:
What is 25 x 34 in simplest form
Answers
I need help with number line math please review my work and explain to me whats correct and wrong thanks!
Answers
Answers:
3) -12, 0, 13, |-14|, |-16|, 17 (D)
4) 1
5) 5
Explanation:
|x| is the absolute value, and absolute values are always positive
|-5| = 5
|-16| = 16
|-16| = |16|
Hope this helps
What is the common difference -30,70,170,270
Answers
a3-a2= 170-70= 100
a4-a3=270-170=100
d=100
X-1=5x+3x-8
solve for x, step by step
Answers
Answer:
x=1
Step-by-step explanation:
X-1=5x+3x-8
X-5x-3x=-8+1
-7x=-7
-7x/-7=-7/-7
x=1
What is the equation of the line that passes through the point (-7, 2) and has a
slope of -1
Answers
Answer:
y = -x - 5
Step-by-step explanation:
y = mx + b
slope = m = -1
y = -1x + b
y = -x + b
Plug in (-7, 2) for x and y, and solve for b.
2 = -(-7) + b
2 = 7 + b
b = -5
y = -x - 5
Find all of the points of the form (x, −x) which are 7 units from the origin.
(x, y) =
(smaller x-value)
(x, y) =
(larger x-value)
Answers
Answer:
(-7, 0) and (7, 0)Step-by-step explanation:
All the points that are 7 units from the origin are on the circle:
x² + y² = 7²The maximum and minimum values of x obtained when y = 0:
x² = 7² √x² = √7²x = ± 7So
min x = -7 and max x = 7The points are:
(-7, 0) and (7, 0)The equation will be
[tex]\\ \sf\longmapsto \sqrt{x^2+y^2}=7[/tex]
[tex]\\ \sf\longmapsto x^2+y^2=7[/tex]
If y be 0[tex]\\ \sf\longmapsto x^2+0=7^2[/tex]
[tex]\\ \sf\longmapsto x^2=49[/tex]
[tex]\\ \sf\longmapsto x=\sqrt{49}[/tex]
[tex]\\ \sf\longmapsto x=\pm 7[/tex]
Now the points are
(7,0)(-7,0)Jacob took a total of 4 quizzes over the course of 3 weeks.
How many weeks of school will Jacob have to attend this quarter before he will have taken 16 quizzes?
Answers
Answer:
The answer would be a total of 12 weeks .
Step-by-step explanation:
Because the first four test were in a total of three weeks
so in order to find out how many weeks for 16 quizzes just multiply
4 quizzes -3 weeks
8 quizzes -6 weeks
12 quizzes - 9 weeks
16 quizzes - 12 weeks
SO just multiply 4 by 4 and multiply 4 by 3
A box contains six red playing cards numbered one to six and also six black playing cards numbered one to six. What is the probability of picking a card that is black or has an even number?
A. 1
B. 1/2
C. 1/4
D. 3/4
Answers
cards that are black and have an even number = 2b,4b,6b
total number of cards = 12
probability = 3/12 = 1/4
Which statement is true about the function?
A.
The function is negative on the interval .(n/2,n)
B.
The function is positive on the interval .(3n/4, 5n/4)
C.
The function is positive on the interval .(x/4, 3n/4)
D.
The function is negative on the interval .(5x/4, 7n/4)
Answers
Answer:
A
Step-by-step explanation:
During the Interval, pi/2 to pi, the function is below the x axis, so it is negative
Answer:
A. The function is negative on the interval .(n/2,n)
Step-by-step explanation:
edmentum
Find the probability that a student earns a grade of A,B, or C
P=
Answers
Answer:
Step-by-step explanation:
Answer: 0.86
Step-by-step explanation:
Find how much interest $10,000 earns in 2 years in a certificate of deposit paying 5.5% interest compounded quarterly.
The interest earned in 2 years is $__.
(Do not round until the final answer. Then round to the nearest cent as needed.)
Can anyone help me with this?? 100 points
Answers
Answer:
$1154.42Step-by-step explanation:
Given:
Deposit amount P = $10000Interest rate r = 5.5% or 0.055Time t = 2 yearsNumber of compounds n = 4The interest is:
P*(1 + r/n)^(nt) - P = 10000(1 + 0.055/4)^8 - 10000 = 11154.42 - 10000 = 1154.42Apply compound interest formula
Amount
P(1+r/n)^nt10000(1+0.055/4)^4(2)11154.42Interest
11154.42-100001154.42Find 10x+y when x= 10 and y = 3.
The answer is
Answers
Answer:
[tex]10x + y \\ 10(10) + 3 \\ 100 + 3 = 103[/tex]
I hope I helped you^_^
6 + 5y - 4y + 10 + 3x - X
Answers
Answer:
2 + + 1 6
Step-by-step explanation:
Add the numbers:
6 + 5y - 4y + 10 + 3x -x =
1 6 + 5 − 4 + 3 −
Combine like terms:
16 + 5y - 4y +3x - x
16+ 1y + 3x -x
Multiply by 1
16 + 1y + 3x - x
16 + y + 3x - x
Combine like terms:
16 + y + 3x - x
16 + y + 2x
Rearrange terms:
16 + y + 2x
2x + y + 16
Answer:
16 + y + 2x
Step-by-step explanation:
[tex]6 + 5y - 4y + 10 + 3x - x[/tex]
[tex]16 + 5y - 4y + 3x - x[/tex]
[tex]5y - 4y = (5 - 4)y = 1y = y[/tex]
[tex]16 + y + 3x - x[/tex]
[tex] = 16 + y + 2x[/tex]
1.1.PS-8
Write 6.81 as a mixed number in simplest form.
6.81
Answers
Answer: when you simplify it you get 6 81/100 and you cant go any further because you will start to get into approximate values.
Step-by-step explanation:
X-3
If f(x) =
and g(x) = 5x - 4, what is the domain of (fog)(x)?
X
{x1x*}
Answers
Fill in the blank
30.030___30.03
Answers
Answer:
=
Step-by-step explanation:
Plz help I need help now plz
Answers
Answer:
-840
Step-by-step explanation:
When we multiply two intergers with the same sign, the product will be positive. When we multiply intergers with different signs, the quotient will be negative
[tex]( - 5) \times ( - 3) = 15[/tex]
[tex]15 \times ( - 8) = - 120[/tex]
[tex] - 120 \times 7 = - 840[/tex]
