Answer:
I'm pretty sure it is 85 feet
solve the matrix and prove that it is equal 0
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
What is the circumference of a circle with a radius of 86 inches? use 3.14 for PI
Step-by-step explanation:
[tex]circumference = 2\pi\: r \: \\ = 2 \times 3.14 \times 86 \\ = 540.08[/tex]
Answer:
540.08
Step-by-step explanation:
Given a 17-sided polygon, what is the sum of the measures of the exterior angles?
Answer:
360 degree
Step-by-step explanation:
A seventeen sided polygon or a 17 sided polygon the rule is same that the sum of the measures of the exterior angles is 360.
how to change .75 to a percentage NOW
Answer:
Move the decimal place over to the left two spaces
.75--> 7.5--> 75%
and reverse
75%--> 7.5--> .75
Step-by-step explanation:
brainliest plz
Answer:
75%
Step-by-step explanation:
"Percent" means "per 100" or "over 100". So, to convert 0.75 to percent we rewrite 0.75 in terms of "per 100" or over 100.
Multiply 0.75 by 100/100. Since 100/100 = 1, we are only multiplying by 1 and not changing the value of our number.
0.75 100 75
-------- x -------- = -------- which equals to 75%
1 100 100
Hope this helps
can i have brainliest plz
The vertex of this parabola is at (-3,-1). When the yvalue is 0, the x-value is 4. What is the coefficient of the squared term in the parabola's equation?
A. -7
B. -3
C. 3
D. 7
Answer:
d
Step-by-step explanation:
A polygon has a perimeter of 18 units. It is dilated with a scale factor of 3/2 what is
the perimeter of its image?
Answer:
A
Step-by-step explanation:
Is the correct answer
The perimeter of the polygon after dilation = 27 unit
What is dilation factor?The scale factor in a mathematical object's dilatation defines how much the picture will grow or shrink in relation to the original thing.
The perimeter of polygon = 18 unit,
Since, the scaling factor is 3/2,
So when the polygon is dilated, the perimeter of the polygon will also multiply with 3/2,
Perimeter of polygon = 18×3/2
= 27 unit
The perimeter of the polygon after dilation = 27 unit
To know more about Dilation factor on:
https://brainly.com/question/13176891
#SPJ5
Becky is using the expression 2z + 3 to represent the number of chairs in her classroom. There are twice as many chairs as tables, and there are three extra chairs in the back. What does z represent?
The number of chairs.
The number of tables.
The number of chairs at tables.
The number of chairs and tables.
Answer:
The number of chairs
Step-by-step explanation:
The equation is 2z + 3
2 ( = multiply by)
z ( # of chairs)
+3 ( the 3 extra chairs in the back)
Answer:
The number of tables
Step-by-step explanation:
Sens there is twice as many chairs as tables, the number 2 represents the chairs. The 3 represents the 3 extra chairs in the back. so the only logical object to represent z is the number of tables.
OMG I REALLY NEED SOME HELP! THIS IS DUE IN 3 MINUTES!
Step-by-step explanation:
8) all real numbers.
10)
[tex]y = a {b}^{x} \\ 12 \div 4 = 3 \\ b = 3 \\ a = 4 \\ y = 4 \times {3}^{x} [/tex]
Write an expression for the description: the product of 3 and p subtracted from 6
Answer:
6 - 3p
Step-by-step explanation:
The word "product" indicates to multiply 3 and p, and "subtracted from" tells us to use subtraction.
Answer:
the sum of 6 6 66 and the product of 3 3 33 and d d dd".
Step-by-step explanation:
How did the Medieval Church control people's lives?
Answer:
The Church regulated and defined an individual's life, literally, from birth to death and was thought to continue its hold over the person's soul in the afterlife
Pls mark Brainliest
Step-by-step explanation:
Help meee 50 points explain ALL OF IT if you really do it ill give you 200 points pls
Answer:
Explain what there is no picture
Step-by-step explanation:
Hai!
1. He is Considering 3 Themes: Space, Safari, and Comics.
2. He is Considering 2 Places: Skating rink and the Park.
3. He is Considering 3 Days of the week: Friday, Saturday, and Sunday.
4. EXAMPLE 1 One possibility is that Noah is considering is a party with a Safari Theme at the park on Friday EXAMPLE 2 One possibility is that Noah is considering is a party with a Comics Theme at the park on Saturday
5. There is 21 Possible Outcomes
Hope I helped. Best of luck! :3
PLEASE HURRY!! What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?
Answer:
the slope = -⅓
You deposit $1,000 Into a bank account. The account pays 3.75% annual Interest compounded monthly. Find the balance after 6 years. Round answers to two decimal places
PLS HELP THE PICTURE IS DOWN BELOW
Answer:
4
Step-by-step explanation:
Normally you would have to figure out the distance of the x- and y-components and use the Pythagorean Theorem; however, because the y-coordinates of both points are the same, you only need the x-coordinates.
You have the first point back 3, and the second point forward 1.
So starting at -3, you move 4 points to get to 1.
((-3 to -2 (1), -2 to -1 (2), -1 to 0 (3), 0 to 1 (4)))
can someone please help me with this i need it badddd
Please help! Tysmm :))
1. How would you solve the equation
3a + 7 = – 2 by graphing?
Answer:
You draw it on the graph right
What number is grater than 1 but less than 7
Answer:
5
ok
THIS IS SIMPLE
MARK AS BRAINLIST
2x + 5y = -24
3x - 5y = 14
Solve by elimination
y and x
Answer:
x = -2
y = -4
Step-by-step explanation:
The way systems of equations work is that you have to substitute to solve for a variable *(only one of the 2 ways to figure this out)*
so, we will use addition property of equality in a form to add the two equations together, since +5y and -5y added together will cancel out.
that would leave
5x = -10
divide both sides by 5
x = -2
Now that we know x = -2, we can plug in -2 into one of the equations to find y.
2 ( -2) + 5y = -24
-4 + 5y = -24
-4 + 4 + 5y = -24 + 4
5y = -20
y = -4
x = -2
y = -4
Select all of the true statements.
A. 4.8 + (-8.9) = -13.7
B. 12+(-3) = -9
C. -9.-0.1 = 90
D. -4+ 4 =
Answer:
D
Step-by-step explanation:
-4+4=0 which is correct
4.8-8.9=-4.1 wrong
12-3=-9 wrong
-9-0.1=90 wrong
please help me plz im begging u
Answer:
B
Step-by-step explanation:
Can someone pleaseee help me solve this
please help it due in some time
Answer:
i think that it would be A.
Step-by-step explanation:
If the surface area of a cube is 150 cm², what is the volume of the cube?
A)
125 cm3
B)
150 cm3
C)
175 cm3
D)
225 cm3
Answer:125
Step-by-step explanation:
Please help!!!!!!! Tysm!!
Answer:
it's the first answer
Step-by-step explanation:
its 2/9 because 1/3 × 2/3 = 2/9
Answer:
It's C
Step-by-step explanation:
1/3 x 2/3 = 2/9, which simplifies back to 1/3
and 1/3=2/6
HELP PLEASE 30 POINTS!!
Answer:
p - w = $25 OR w + $25 = p
Step-by-step explanation:
pencil = p
pen = w
p - w = $25 OR w + $25 = p
I need help answering b
The diagram should help
Help lol I dunno what to do
Answer:
same
Step-by-step explanation:
Answer:
The answer is 9.2
Step-by-step explanation:
If 9 garden hoses cost $196.83 and the price of each hose is the same how much does each hose cost?
Answer:21.87
Step-by-step explanation:
196.83 divided by 9
Answer:
They each cost $21.87
Step-by-step explanation:
If each hose costs the same you can just divide the total (196.83) by the number of hoses (9) to get 21.87.
You buy 4 balloons and 2 banners for $8. Your friend buys 6 balloons and 1 banner for $8.
Each balloon costs ?$
and each banner costs ?$
Answer:
Each balloon costs $1
Each banner costs $2
Step-by-step explanation:
First of all, let's write down the equation from this problem.
Let "y" be the cost of the ballon, and let "x" be the cost of a banner. Then the following is true from the question...
4y + 2x = 8
6y + x = 8
Now since both of them are equal to 8 both of them are equal to each other, and so we can get the following equation...
4y + 2x = 6y + x
2x - x = 6y - 4y
x = 2y
Now if we substitute 2y instead of x in one of the previous equations we will obtain...
6y + x = 8
6y + 2y = 8
8y = 8
y = 1
From the equation x = 2y we know that...
x = 2y
x = 2(1)
x = 2
