Does the given matrix, A, have an inverse? If it does, what is A-1?
5
12
A
=
2
5
Answers
The inverse of the function is [tex]\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right][/tex]
Inverse of a matrixFor a 2 by 2 matrix, the inverse is generally expressed as:
[tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] ^{-1}=\frac{1}{ad-bc}\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right][/tex]
Since the given matrix is a square matrix and 2 by 2, therefore it will have an inverse.
Determine the determinant
|A| = 5(5) - 2(12)
|A| = 25 - 24
|A| = 1
Substitute the values into the formula above
[tex]\left[\begin{array}{ccc}5&12\\2&5\\\end{array}\right] ^{-1}=(1)\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right][/tex]
Hence the inverse of the function is [tex]\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right][/tex]
Learn more on inverse of a matrix here: https://brainly.com/question/27924478
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Plzzzz help ASAP!!!!!!
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Answer:
J+9=S
Step-by-step explanation:
Answer:
j+9=s
Step-by-step explanation:
Verify the identity shown below.
tan∅+cot∅=sec∅×csc∅
Answers
Answer:5
That is exactly correct! Just two things: First, tan,sin,cos, etc hold no meaning on their own, they need an argument. So just be sure to write tanx, cosx etc rather than just tan or cos.
Finally, you could save time on your proof by noticing on the fourth step that
1cosxsinx=1cosx1sinx=secxcscx
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Step-by-step explanation:
y = x + 2
y = -5/2x-5
Answers
{ y = -5/2x - 5
x + 2 = -5/2x-5
x = -2
y = -2 + 2
y = 0
(x,y) = (-2,0)
——
Check for solution
{ 0 = -2 + 2
{ 0 = -5/2 (-2) - 5
{ 0=0
{ 0=0
I need help plz I don’t know how to do this
Answers
Answer:
x = 4
Step-by-step explanation:
x = 4 is where the parabola can be cut in half and reflected
Guadrilateral whose vertices are A(-2-2),B(5-2),C(4-3) and D(-3,-3)what kind of a guadrilatetal is ABCD?
Answers
Answer:
The quadrilateral ABCD is a parallelogram
Step-by-step explanation:
The vertices of the quadrilateral ABCD are;
A(-2 -2), B(5, -2), C(4, -3)and D(-3, -3)
The slope of segment [tex]\overline {AB}[/tex] = (-2 - (-2))/(5 - (-2)) = 0
The length of segment [tex]\overline {AB}[/tex] = 5 - (-2) = 7 (points having the same y-coordinates)
The slope of segment [tex]\overline {AD}[/tex] = (-3 - (-2))/(-3 - (-2)) = 1
The length of segment [tex]\overline {AD}[/tex] = √((-3 - (-2))² + (-3 - (-2))²) = √2
The slope of segment [tex]\overline {DC}[/tex] = (-3 - (-3))/(-3 - 4) = 0
The length of segment [tex]\overline {DC}[/tex] = 4 - (-3) = 7 (points having the same y-coordinates)
The slope of segment [tex]\overline {BC}[/tex] = (-3 - (-2))/(4 - 5) = 1
The length of segment [tex]\overline {AD}[/tex] = √((4 - 5)² + (-3 - (-2))²) = √2
Therefore;
The opposite sites of the quadrilateral ABCD are equal; [tex]\overline {AB}[/tex] = [tex]\overline {DC}[/tex], [tex]\overline {AD}[/tex] = [tex]\overline {BC}[/tex]
Given that the slope of a line gives the inclination of the line on a graph, we have;
The opposite sites of the quadrilateral are parallel; [tex]\overline {AB}[/tex] ║ [tex]\overline {DC}[/tex], [tex]\overline {AD}[/tex] ║ [tex]\overline {BC}[/tex]
Therefore the quadrilateral ABCD is a parallelogram because the opposite sides of the quadrilateral ABCD are parallel.
Express the recurring decimal 0.136 as a fraction in its simplest form.
Write your working in the box, below, and use x in the working.
Write fractions using the / sign. Eg you would write as 1/2
Answers
Explanation -
X = 0.136136136...
10x = 1.36136136
100x = 13.6136136...
1000x = 136.136136..
1000x - x = 999
136/999
PLEASE HELP
Question 1 options:
What is the area of a circle with a diameter of 18.2 cm?
Use 3.14 for ∏ and round your final answer to the nearest hundredth.
The area is ___ square cm.
Answers
Answer:
28.574
Step-by-step explanation:
18.2 x 3.14 then divied by 2
PLEASE HELP ASAP
Finding angles!!
Answers
Answer:
Angle 1: 115
Angle 2: 65
Angle 3: 115
Angle 4: 65
Angle 5: 115
Angle 6: 65
Angle 7: 115
Step-by-step explanation:
Find the value of angle 2 by applying the vertical angles theorem (65)
Find the value of angle 1 by applying the supplementary angles theorem from the original angle (180 - 65 = 115)
Find the value of angle 3 by applying the vertical angles theorem from angle 1 (115)
Angles 4, 5, 6, and 7 are on a line parallel to the orginal line, cut by the same transversal, so they have the same values, according to the same side interior/exterior angles theorems.
a class has eight boys and 12 girls. what is a ratio of boys to girls?
Answers
Answer:
8:12
Step-by-step explanation:
Answer:
8:12
= 2:3
hope
this
helps
An artist can create 4 pieces of pottery in 2 hrs. What is the artists unit rate in minutes without units?
Answers
Answer:
2 piece per hour
Step-by-step explanation:
Given data
Quantity= 4 pieces
time= 2 hours
Required
The unit rate
rate= quantity/time
rate= 4/2
rate= 2 piece per hour
Use point-slope form to write an equation of the given line. Solve the equation for y.
у
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hamid has gain weight he now weighs 88kg
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Answer: what’s the question?
Step-by-step explanation:
Urgent please help..
Answers
Is 16x2 - 16x + 4 a perfect square?
Answers
Answer:
Yes
Step-by-step explanation:
Use the completing the square method:
16(x^2-x)+4
=16((x-1/2)^2 - (1/2)^2)+4
=16((x-1/2)^2 - 1/4)+4
=16((x-1/2)^2) - 16/4 + 4
=16(x-1/2)^2
=4^2(x-1/2)^2
The product of two square is itself a square.
Simplify
2×3^x - 3^x-1 / 18^x × 2^-x
Answers
Step-by-step explanation:
Collect like terms: 6∧x - 3∧x - 1/ 18∧x · 2
3∧x - 1/ 18∧x · 2
Calculate the product: 3∧x - 2/ 18∧x
Find common denominator: 54∧x/ 18∧x - 2/ 18∧x =
54∧x - 2/ 18∧x
Look at the ingredients needed to make Josie's special pancakes. How much pancake mix and milk will you need if you want to double the recipe? to triple the recipe? solve this problem anyway you choose math answer
Answers
Answer:
Double - 7 5/6
Explantion: 2 1/4 times 2 equal 4 1/2 for the pancake mix
1 2/3 times 2 equal 3 1/3 for the milk
So.....4 1/2 plus 3 1/3 equals 7 5/6
Triple- 11 3/4
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So.... 5 plus 6 3/4 equal 11 3/4
Hope it help :)
Given WXYZ, what is the measure of Z?
O A. 90°
O B. 1450
O c. 235°
O D. 100
O E. 55°
O F. 35°
Answers
I’m pretty sure it’s the same question I did
ALGEBRAIC EXPRESSION, FACTORIZATION AND IDENTITIES... pls help me in this...
Answers
Answer:
I solved question number 8.
a) p= 9
b) p = 17
I solved number 9 but I'm not sure about it
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ii) 14165
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Answers
Answer:
5626.9 m cubed
Step-by-step explanation:
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Answers
Answer:
yes , keiko is correct.
sin^(-1)x = -sin^1
Answer:
Keiko is wrong
Step-by-step explanation:
Keiko is incorrect
When n is positive, 1^n will always be 1
but........ (-1)^n will not always be -1
This is because there are parenthesis around -1
So n is even, then it will be 1 not -1
For example, n = 4
You will do -1 * -1 * -1 * -1 which is 1 not -1
but if n = 3
You will do -1 * -1 * -1 which is -1
Therefore, the second statement is incorrect resulting in Keiko being wrong
Which letter represents 1/8 on the following number line ?
Answers
Answer:
the answer is p
Step-by-step explanation:
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Im on that to, maybe i can help you !! :)
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Answers
Answer:
6y (y + 4)
(pick out the common factors) \
hope its righ!
Hope it helps you ❤️. ❤️❤️❤️❤️
The length of a rectangle is 3 m longer than its width. If the perimeter of the rectangle is 26 m , find its area.
Answers
Answer:
40 m²
Step-by-step explanation:
First, find the perimeter. Using the perimeter formula, p = 2l + 2w, solve for the side lengths of the length and width.
Let w represent the width. The length can be represented by w + 3, since the length is 3 m longer than the width.
Plug in 26 as the perimeter, and plug in w and w + 3 for the width and length:
p = 2l + 2w
26 = 2(w + 3) + 2w
Simplify and solve for w:
26 = 2w + 6 + 2w
26 = 4w + 6
20 = 4w
5 = w
Find the length by adding 3 to this:
5 + 3
= 8
Now, find the area using the area formula, A = lw
Plug in the length and width:
A = lw
A = 8(5)
A = 40
So, the area of the rectangle is 40 m²
r
3. Identify the vertical intercept of the graph. What does
it tell you about the situation?
Answers
Answer:
Vertical intercept of a graph
The vertical intercept is the point where the graph of a line crosses the vertical axis. The vertical intercept of this line is or just -6.
Step-by-step explanation:
btw so hard question mate, enjoy the answer
x + 2y = 9
2x - y = 8
(5,2)
(1,4)
(4,-1)
(5, -2)
which one is it?
Answers
Answer:
(5,2)
Step-by-step explanation:
when you plug them in they appear true!
I’m studying and I have trouble with this problem and I need an explanation. Please help me! Thank you
Answers
Answer:
Step-by-step explanation:
Im going to assume they want x+108.
You have 2 expressions sitting on a line, so when added to each other they must = 180
So add and set up an equality
x+108+x+78=180
Combine like terms
2x+186=180
Solve
2x+186=180
-180 -180
2x+6=0
-6 -6
2x=-6
________
2
x=-3
Substitute X for -3
-3+108=
105.
can you make line segment with a with a steepness of a zero
Answers
hope this helps!:)
——-PLEASE HELP W/ EXPLANATION——-
Answers
Answer:
I think it is 94 hope it works
The value of a boat is $23,400. It loses 10% of its value every year. Find the approximate monthly percent decrease in value. Round your answer to the nearest hundredth of a percent.
Answers
Answer:
Value of boat = $23,400
Loss of value by boat per year = 8%
To find: - Monthly percent decrease in value of boat.
Solution: - Decrease of value per year = 8% of $23,400 = $1,872. Monthly decrease in value = $1,872/12 = $156. Monthly percentage decrease = ($156/$23,400) * 100 = 0.6667 or 0.67 (rounded to nearest hundredth)
Step-by-step explanation: