Answers
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
[tex] \tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}[/tex][tex] \underline{ \underline { \text{To \: Find}}} : [/tex]
[tex] \sf{ {A}^{2} - 5A+ 22I= 0}[/tex][tex] \underline{ \underline{ \text{Solution}}} : [/tex]
The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by [tex] \sf{ {A}^{T}} [/tex]. Again , Interchange it's rows and columns in order to find ' A '.
[tex] \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}[/tex]
Now , LEFT HAND SIDE ( L.H.S )
[tex] \tt{ {A}^{2} - 5A+ 22I}[/tex]
Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.
⟼ [tex]\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex] \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}[/tex]
⟼ [tex]\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}[/tex]
⟼ [tex] \sf{0}[/tex]
RIGHT HAND SIDE ( R.H.S ) : 0
L.H.S = R.H.S [ Hence , proved ! ]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Answer:
Step-by-step explanation:
\underline{ \underline{ \text{Given}}} :
\begin{gathered} \tt{ {A}^{T} = \begin{bmatrix} 2 & - 4 \\ 4 & 3 \\ \end{bmatrix}}\end{gathered}
\underline{ \underline { \text{To \: Find}}} :
\underline{ \underline{ \text{Solution}}} :
The new matrix obtained from a given matrix by interchanging it's rows and columns is called the transposition of matrix. It is denoted by \sf{ {A}^{T}}
. Again , Interchange it's rows and columns in order to find ' A '.
\begin{gathered} \tt{A = \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix}}\end{gathered}
Now , LEFT HAND SIDE ( L.H.S )
\tt{ {A}^{2} - 5A+ 22I}
Here, I refers to identity matrix. A diagonal matrix in which all the elements of leading diagonal are 1 ( unit ) is called unit or identity matrix.
⟼ \begin{gathered}\begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} - 5 \times \begin{bmatrix} 2 & 4 \\ - 4 & 3 \\ \end{bmatrix} + 22 \times \begin{bmatrix} 1 & 0 \\ 0 & 1\\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 2 \times 2 + 4 \times ( - 4)& 2 \times 4 + 4 \times 3 \\ - 4 \times 2 + 3 \times ( - 4) & - 4 \times 4 + 3 \times 3 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20& 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 4 + ( - 16) & 8 + 12 \\ - 8 + ( - 12) & - 16 + 9 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered} \begin{bmatrix} - 12 & 20\\ - 20& - 7 \\ \end{bmatrix} - \begin{bmatrix} 10 & 20 \\ - 20 & 15 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} - 22 & 0 \\ 0& - 22 \\ \end{bmatrix} + \begin{bmatrix} 22 & 0 \\ 0 & 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} - 22 + 22 & 0 + 0 \\ 0 + 0 & - 22 + 22 \\ \end{bmatrix}\end{gathered}
⟼ \begin{gathered}\begin{bmatrix} 0 & 0\\ 0 & 0 \\ \end{bmatrix}\end{gathered}
⟼ \sf{0}0
RIGHT HAND SIDE ( R.H.S ) : 0
Related Questions
Write 2 and 19/25 as a percent.
Answers
Answer:
276 percent lol
Step-by-step explanation:
HELP ITS SOO HARD also can you please explain how to get the answer to where a dummy can understand cuz well I’m a dummy
Answers
Answer:
244.92 square inches
Step-by-step explanation:
You just have to fill in the formula with the information they gave you.
They gave you the diameter for base circle so you divide that number in half to get the radius which is what you need for the formula represent as "r".
r=3
h=10
and you know pi is 3.14
so just plug in the numbers.
SA=2x3.14x3^2+2x3.14x3x10
SA=6.28x9+6.28x30
SA=56.52+188.4
SA=244.92
What is the slope for this table?
Answers
Answer:
7
Step-by-step explanation:
[tex]Slope=\frac{dy}{dx}= \frac{200-172}{28-24}=7[/tex]
Which value of c makes the ratios equal?
5/6=9/c
A. c = 11
B. c = 10.8
C. c = 10.2
D. c = 5.8
Answers
c5/5=9(6)/5
c=54/5
c=10.8
the answer is B. c=10.8
ILL MARK YOU BRAINLIEST To join a health club, a person must pay a $75 one-time fee plus a charge of $30 per month. This situation can be presented by an equation of the form y=mx+b, where x = the fire in months and ythe
total cost in dollars. What is the value of b in this equation?
Answers
Answer: b=75
Step-by-step explanation: Given that the health club charges $30 per month, we know that this is the "m" varible. We know this because the total value changes as the value of x changes. The value of b would therefore be $75 dollars because it is a constant and a one time fee. The person joining the health club pays an amount of money per month, as well as an initial charge of $75.
Hope that helps!
which of the following rational functions is graphed below. A.F(x)=1/x(x+2) B. F(x)=2x/x(x-2) C.F(x)=2x/x(x-2) D. F(x)=(x+1)/(x+2)(x+0)
Answers
Answer:
you don't have the graph
Step-by-step explanation:
I need help !!! Please
Answers
AGAIQJSJWJ PLEASE HELPP
y = 5x - 6&y= -4x + 3
Use the Equal Values Method to solve for x and y
Answers
Answer: x = 1 and y = -1
Step-by-step explanation:
Since both equations are equal to y, that means the equations are both equal to each other
5x - 6 = -4x + 3
Solve for x how you would traditionally do it with any other one-variable equation
9x = 9
x = 1
Plug the now known x value into either equation and you will get your y value.
5(1) - 6 = -1
-4(1) + 3 = -1
what is matter measured in pls help me for god sake I am about to become the school math president
Answers
Answer:
volume or mass
Step-by-step explanation:
3sin60°+xcos30°.tan45°=xcot30°
Answers
Answer:
x = (6[tex]\sqrt{2}[/tex])/(4[tex]\sqrt{2}[/tex] -3)
Step-by-step explanation:
sin60 degree = [tex]\sqrt{3}[/tex] /2
cos30 degree = 1/2
tan 45 degree = sin45 degree / cos45 degree = ([tex]\sqrt{2}[/tex]/2)/([tex]\sqrt{2}[/tex] /2) = 1
cot 30 degree = cos30 / sin30 = ([tex]\sqrt{3}[/tex] /2)/(1/2) = [tex]\sqrt{3}[/tex]
so, let us plug the above values in the given eqution and solve for x
3([tex]\sqrt{3}[/tex] /2 ) + x(1/2) *1 = x([tex]\sqrt{3}[/tex])
3([tex]\sqrt{3}[/tex] /2 ) = x([tex]\sqrt{3}[/tex]) -x(1/2)
3([tex]\sqrt{3}[/tex] /2 ) = x(([tex]\sqrt{3}[/tex])-(1/2)) (by taking x as a common factor)
3([tex]\sqrt{3}[/tex] /2 ) = x(((2[tex]\sqrt{3}[/tex])-(1))/2)) (making the same common denominator
now devide both sides by (((2[tex]\sqrt{3}[/tex])-(1))/2))
x = 3([tex]\sqrt{3}[/tex] /2 ) / (((2[tex]\sqrt{3}[/tex])-(1))/2))
x = 3([tex]\sqrt{3}[/tex] ) / ((2[tex]\sqrt{3}[/tex])-(1))
Plz help with my homework add me on ins if do you gonna help me pls hairstyles2530
Answers
Answer:
5
Step-by-step explanation:
To find the missing leg, we need to use a^2 + b^2 = c^2.
Let's call the missing leg a, and then substitute the numbers the other numbers
a^2 + 12^2 = 13^2
Simplify
a^2 + 144 = 169
To solve, subtract 144 from both sides (169-144)
a^2 = 25
This means that a squared is 25; to find a, we need to find the square root of 25.
a = 5
Your answer is 5.
Answer:
5m
Step-by-step explanation:
set it up
[tex]12^{2}[/tex]+[tex]a^{2}[/tex]=[tex]13^{2}[/tex]
do what you know
equation becomes: 144+[tex]a^{2}[/tex]=169
subtract both sides by 144
equation becomes [tex]a{2}[/tex]=25
square root both sides
equation becomes: a=5
if you make $20,800 a year, what is your weekly salary? — explanation needed
Answers
20,800 / 52 = $400 per week
Christian had brochures printed for a new business venture, Christian originally ordered 4 boxes of black-and-white
brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3
boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?
If she let x = the number of black and white brochures and y = the number of color brochures, which system of
equations would she use?
Answers
Answer:
4x+3y=134
3x+3y=120
Step-by-step explanation:
Write the expression in its simplest form : -3 (7h+1)+6h
Answers
Answer:
-15h-3
Step-by-step explanation:
hope this answers an option yk
Answer: =−15h−3
Step-by-step explanation: hope this help
Help me please with this I will give brainliest
Answers
Answer:
1. 18
2. 72
3. 90%
Step-by-step explanation:
For number 1
To find percentage you multiply the total number of kids with the percentage.
To do this you have to convert the percent into a decimal by moving the dot 2 times from its original location Ex. 20% = .20 as 20 would look like 20.00 in decimal form.
So .20 x 90 = 18
For number 2
Subtract 18 and 90 to find the remanding kids
For number 3
Divide 72 and 90. Make sure the lower number is being divided.
The answer you will get is .8 so move the decimal back two times because you are converting it to a percentage."
You will then get 80.00 as an answer then from there turn it to a percentage
80%
Hope this helps!
3(5+4y)+8-2y how to do this plz
Answers
Answer:
[tex]3\left(5+4y\right)+8-2y=10y+23[/tex]
Step-by-step explanation:
Given
As the expression is given by
[tex]3(5+4y)+8-2y[/tex]
To determine
Simplify the expression
Let us simplify the expression
[tex]3(5+4y)+8-2y[/tex]
Expand 3(5 + 4y) = 15 + 12y
[tex]3\left(5+4y\right)+8-2y=15+12y+8-2y[/tex]
grouping like terms
[tex]=12y-2y+15+8[/tex]
[tex]=10y+23[/tex]
Therefore,
[tex]3\left(5+4y\right)+8-2y=10y+23[/tex]
What is the domain of the function?
X+6
f(x)=(x-7)(x+5)
A all real numbers except 7
Ball real numbers except 5 and -7
Call real numbers except -5 and 7
D all real numbers
Answers
(
−
∞
,
5
)
∪
(
5
,
∞
)
, or
x
≠
5
(
−
∞
,
1
)
∪
(
1
,
∞
)
, or
y
≠
1
The function is undefined for
x
values when the denominator,
x
−
5
, is
0
; it's undefined to divide by
0
. Therefore, when
x
=
5
,
f
(
x
)
is undefined.
f
(
5
)
=
5
+
7
5
−
5
=
12
0
Since the domain is based on the allowed values of
x
, the domain is:
(
−
∞
,
5
)
∪
(
5
,
∞
)
Based on the domain, we would find the range by solving for
x
in terms of
f
(
x
)
, which we will write as
y
=
f
(
x
)
.
y
=
x
+
7
x
−
5
y
(
x
−
5
)
=
x
+
7
x
y
−
5
y
=
x
+
7
x
−
x
y
=
−
5
y
−
7
x
(
1
−
y
)
=
−
5
y
−
7
x
=
−
5
y
−
7
1
−
y
x
=
5
y
+
7
y
−
1
This means when
y
=
1
, the function is undefined as well. So, the range is:
(
−
∞
,
1
)
∪
(
1
,
∞
)
You can see that this is the case in the graph itself:
graph{(x + 7)/(x - 5) [-73.3, 74.9, -37.07, 36.97]}
What you should notice is the horizontal asymptote at
y
=
1
, and the vertical asymptote at
x
=
5
.
Because the function is trying to reach an undefined value at those points (
x
≠
5
,
y
≠
1
), you get these "walls" that cannot be crossed, only ascended or descended from either side.
The required domain of the function is all real numbers except -5 and 7. Option C is correct.
Given that,
f(x) = (x + 6) /[(x-7)(x+5)]
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
Given function,
f(x) = (x + 6) /[(x-7)(x+5)]
We can put any real number on the number line except 7 and -5, because at these value function gives the value as infinity.
Thus, the required domain of the function is all real numbers except -5 and 7. Option C is correct.
learn more about function here:
brainly.com/question/21145944
#SPJ5
I NEED HELP FAST ITS E.L.A ILL GIVE BRAINLIEST FOR FIRST ANSWER
Read the paragraph.
When the U.S. Postal Service began, men on horseback carried mail in bags across the country. Once the railroad system was developed, mail was delivered to different states by train. Today, mail is transported in trucks, trains, airplanes, and even boats.
What is the meaning of "transported" as it is used in this paragraph?
A. delivered by hand
B. organized by city and state
C. received from different locations
D. carried from place to place
Answers
Answer:
I would go with D
carried from place to place
I think that it is most likely D.
please help me i will mark brilient
Answers
[tex] \red{20 \: \frac{1}{4} \div 9}[/tex]
[tex] = \frac{81}{4} \div 9[/tex]
[tex] = \frac{^{9}\cancel{81}}{4} \times \frac{1}{\cancel{9}^{1} } [/tex]
[tex] = \frac{9}{4} [/tex]
[tex] \blue{ = \boxed{2 \: \frac{1}{4} }}[/tex]
Answer:2 ¼ m is the length of each piece of the rope
=============================Hope it helps
=============================does anyone know the answer
Answers
Answer:
intercept = (1,2)
Step-by-step explanation:
You would put the 1 in the first box and 2 in the second box. If you look closely there is a comma in between the boxes and parentheses outside of the boxes and comma.
(2x – 4) + (7x + j) = 9x – 12
find j please!!
Answers
Answer: 2
Step-by-step explanation:
Answer:
j=(-8)
Step-by-step explanation:please mark me brainiest
b) Work out 4 1/2 + 1 1/2
Give your answer as a mixed number in its simplest form.
Answers
Answer:
10
Step-by-step explanation:
4 1/2 + 11/2
= 9/2 + 11/2
= 20/2
= 10
The number of dairy cows in a farm can vary from month to month. The amount of milk
produced each month depends on the number of dairy cows on the farm. If g is the
number of gallons of milk produced and nis the number of dairy cows on the farm, which
of the following statement or statements are true about the variables?
Select all that apply.
a. g is the independent variable
b.g is the dependent variable
cn is the independent variable
dan is the dependent variable
Answers
Answer:
G is dependent
N is independent
Answer:
G is dependant d is independant
Step-by-step explanation:
what is the value of x
7 square root 2
14
7 square root 3
7square root 2 over 2
7 square root 3 over 3
Answers
Answer:
I had this question yester day.
Step-by-step explanation:
Whoever answers I will give brainliest! :)
Using the formula below, solve when s = 3.
1. A = 6s²
Answers
Answer:
54
Step-by-step explanation:
1. A = 6 x 9
A = 54
Hope that helps!
Answer:
heyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
ok i think this is right
Using the SA formula you'll have to substitute in the edge length for s.
SA = 6(312)²
SA = 584064
The surface area is 584,064 feet²
please help!!!! I'm so confused :\ I'm sorry ik this is annoying
Answers
Answer:
I believe it will be C
Step-by-step explanation:
Hope this Helped you
The two graphs show amounts of bacteria over time for two different strains of bacteria.
The culture of bacteria A it starts with 250 bacteria and doubles every hour.
The culture of bacteria B starts with 100 bacteria in triples in size every hour.
Use the drop down menus to complete the statements below about bacteria A.
The y-intercept of the graph for bacteria A will be at
a.0
b. 100
c. 250
Which is
a. Higher than
b. Lower than
c. The same as
the graph of bacteria b.
The graph of bacteria A will grow at
a. A slower
b. A faster
c. The same
The graph of bacteria is
a. F, the red graph
b. G, the blue graph
c. Neither graph
Answers
Answer:
c., a., a., and a.
Step-by-step explanation:
The y-intercept of the graph for Bacteria A will be at
250
, which is
higher than
the graph of Bacteria B.
The graph of Bacteria A will grow at
a slower
rate compared with the graph of Bacteria B.
The graph of Bacteria A is
f, the red graph
.
pleas help me with this one thank you
Answers
Answer:
=4p^2−12p+13
Step-by-step explanation:
Let's simplify step-by-step.
4p^2−12p+13
There are no like terms.
You walk back and forth to school every day. The school is 1.25 km from your home. What is the distance you walk, in meters, every day? (1km =1000m)
PLEASE HELP <3
Answers
Answer: 1250
Step-by-step explanation:
0.25x1000=250
+ 1km/1000 meters
1000+250=1250
Answer:
2500m
Step-by-step explanation:
1.25km is 1250m. 1250 multipled by 2 is 2500m.
HELP WITH PERFORMANCE TASK PLEASE! I DESPERATLY NEED CORRECT ANSWERS!
I will mark brainliest!
Answers
Answer:
so um try The y-intercept represents a starting salary of $ 3,000 for a new employee.
The slope represents an additional $ 2,500 in salary for each additional year of employment.
If the starting salary for a new employee is changed to $35,000 and the salary increase is unchanged, the new equation would be y= 2,500x + 35,000
If the yearly salary increase is changed to $ 2,500 . the new equation would be y= 3,000
Step-by-step explanation:
Im not very good at Math im sorry if they're wrong
