Find the inverse of the matrix (if it exists). (If the answer does not exist, enter DNE in any cell of the matrix.)
Answers
Answer:
[tex]\begin{pmatrix}-15&-28\\ -8&-15\end{pmatrix}[/tex]
Step-by-step explanation:
[tex]\begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}^{-1}=\frac{1}{\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}}\begin{pmatrix}d\:&\:-b\:\\ -c\:&\:a\:\end{pmatrix}[/tex]
This is the formula we will use. Accordingly:
[tex]=>\frac{1}{\det \begin{pmatrix}-15&28\\ 8&-15\end{pmatrix}}\begin{pmatrix}-15&-28\\ -8&-15\end{pmatrix}[/tex]
det represents the determinant
if the determinant is 0 then only the inverse matrix will not exist. So let's find the determinant.
[tex]\det = \left(-15\right)\left(-15\right)-28\cdot \:8\\ = 1[/tex]
Now we multiply the following matrix by 1/1:
[tex]\frac{1}{1}\begin{pmatrix}-15&-28\\ -8&-15\end{pmatrix} = \begin{pmatrix}-15&-28\\ -8&-15\end{pmatrix}[/tex]
Related Questions
Enter an algebraic equation for the word sentence. Use x as your variable. A number increased by 6.8 is 8.9.
Answers
Answer:
x + 6.8 = 8.9
Step-by-step explanation:
First let's break this sentence down into parts.
A number increased by 6.8 is 8.9.
"A number" - This value is unknown, therefore we will represent it with x.
"increased by" - This signifies that we will be adding.
"is" - This represents the equal sign (=)
Now let's put these together.
x + 6.8 = 8.9
This is your expression.
Hope this helps!
Simplify the expression for the area
Answers
Answer:
UHHHHHHHHHHHHH
Step-by-step explanation:
Find the area 3/4 circle with the radius of 4.
THXXXXX
Answers
Step-by-step explanation:
If you were asking what is the 3/4 the area of circle with radius 4 I can answer this.
The area of a circle with radius 4 is π4 ^2=16π
3/4*16π= 12π, thus your answer.
What is the vertex of the absolute value function below?
Answers
Answer: (-3,2)
Step-by-step explanation:
(-3,2) is where the line changes.
Answer:
B
Step-by-step explanation:
edge 2021
A water sprinkler sends water out in a circular pattern. How large is the watered area if the radius of the watering pattern is 15 ft?
Answers
Answer:
706.5 ft^2
Step-by-step explanation:
area = radius^2 (Pi)
15^2(3.14) = 706.5
Answer:
706.95ft^2
Step-by-step explanation:
Find area of a circle
A=πr^2
A=22/7*15ft^2
A=706.95ft^2
What percent of 32 is 10
Answers
Answer:
31.25
Step-by-step explanation:
Answer:
31.25%
Step-by-step explanation:
We can write this as a fraction:
10/32
Now you divide it to get a decimal:
10 ÷ 32 = 0.3125
0.3125 = 31.25%
Hope this helps!
The perimeter of the shape is 25.71cm
Calculate the value of the radius A take pi to be 3.142
Answers
Answer:
Step-by-step explanation:
2 [tex]\pi[/tex] r=25.71
6.284r= 25.71 (divide by 8.284 on both sides)
r=4.09cm
Use the equation: 3.142r+2r= 25.71
Combine like terms for: 5.142r = 25.71
You will find that the radius is 5. The diameter is 10.
If you are using 3.142 to represent pi, you can check using the formula for perimeter of pi times diameter/2 for a semi circle. Don't forget to add the line segment for the rest of perimeter.
It would look like this: SemiCircle: 3.142(10)/2 = 15.71(distance around semi circle) + 10 (the line segment) = 25.71
A rectangular glass window is divided into two equivalent right triangles by a diagonal brace. What is the length of the diagonal brace?
A. 9 inches
B. 12 inches
C. 15 inches
D. 21 inches
Answers
Answer:
15
Step-by-step explanation: 9 square plus 12 squared equal 225 and then find the square root of 225 which equals 15
I need heeeelp please !
Answers
To get perimeter you add all sides.. then combine like terms.
Which ratio is not equivalent to the other three?
A. 6/15 B 18/45 C 12/25 D 2/5
Answers
Step-by-step explanation:
C that is 12/25.
others are × by 3
Answer:
12/25 (answer C)
Step-by-step explanation:
as each of the other choices equal to 2/5 after simplification
6/15 (divide 3) = 2/5
18/45 (divide 3) = 6/15 (divide 3) = 2/5
The ordered pair D(0,-5) is translated 2 units left and 6 units up. Which of the following describes the translation using translation notation?
A. (x-2, y-6)
B. (x-6, y+2)
C. (x+6, y-2)
D. (x-2, y+6)
Answers
Answer:
Variant D
Step-by-step explanation:
Answer is x-2 and y+6
The translation using translation notation can be described as (x-2, y+6). The correct option is D.
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
The coordinates of a point are given as (x,y).
Now, the x-coordinate is on the horizontal axis, therefore, if the point is moving right it is going in the positive direction, while if the point is moving in the left direction it is going in the negative direction.
Similarly, the y-coordinate is on the vertical axis, therefore, if the point is moving upwards it is going in the positive direction, while if the point is moving in downwards its direction it is going in the negative direction.
Given that the coordinates are translated as 2 units left and 6 units up. Therefore, we can write,
(x,y) → (x-2, y+6)
Hence, the translation using translation notation can be described as
(x-2,y+6).
Learn more about Coordinates here:
https://brainly.com/question/23450276
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a bicyclist traveled 62 miles in 2 hours.the biker tracked at a constant speed and did not stop for a break.if the biker continues to travel at this rate,which equation can be used to determine y,the total number of miles the biker will travel,in x hours
A.y=62x
B.y=x+62
C.y=31x
D.y=x+31
Answers
Answer:
Step-by-step explanation:
if the bicyclist travels 62 miles in 2 h, he travels 62/2=31 miles per hour
y=nr miles
y=31x
choice C
Answer:
C
Step-by-step explanation:
Divide 62 by 2 to get the unit rate (31 miles per hour)
62/2= 31
X is used to show the number of hours. We are trying to determine the number of miles the biker will travel in x hours. So we would need to multiply 31 and "X" or we could write it as "31x"
Hope this helps!
Kevin from Pullman was offered a deal to write story problems for ST2 publishing Company. For every 5 he wrote he was paid $12.00. How much did Kevin get paid per problem?
Answers
Answer: $2.40
Step-by-step explanation:
If Kevin gets 12 dollars for every 5 problems, we will need to divide 12 by 5 to find the unit rate; how much Kevin gets for each problem.
12 ÷ 5 = 2.4, and in dollars it is equal to $2.40. Because of this, Kevin is paid $2.40 for each problem he makes for the ST2 publishing Company.
Find the height of a cuboid whose volume is 540cu.cm and base area is 90sq.cm
Answers
Answer:
6 cm
Step-by-step explanation:
Vcuboid = lwh
⇒ h = Vcuboid ÷ lw
∴ h = 540 cm³ ÷ 90 cm²
⇒ h = 6 cm
What is the value of x in the diagram below?
Answers
Answer:
The answer is B:65°.
65 degrees
Step-by-step explanation:
The angles add up to 180 inside, the 145 suggests the inside angle is 35, and 65 (answer) would make the whole triangle add up to 180
BRAINLIEST PLZ
What is the maximum value of the picture below?
Answers
Answer:
y = 4
Step-by-step explanation:
The maximum value occurs at the vertex
vertex = (2, 4 )
when x = 2 the maximum value is y = 4
Two people push against a 113 kg refrigerator in opposite directions with forces of 140 N
and 190 N, respectively.
What would be the resulting acceleration of the refrigerator
Answers
Answer:
Results in 27 N in the direction of the person pushing with 140 N
Step-by-step explanation:
140-113=27 N
Sorry, if I did wrong, I'm in middle school so its a bit ahrd.
if you dissolve 10 grams of sugar in 30 grams of water you will make ___ grams from ___% sugar syrup. PLZZZ HELP! :P
Answers
You will make 40 grams of 25% sugar syrup.
P.s. ur welcome
Plants must break down the sugar in cells to obtain energy from the food that is produced. What is this
process called?
Respiration
Transpiration
Restoration
O Photosynthesis
Help
Answers
Answer:
Restoration I believe
I'm so sorry if I'm wrong
Step-by-step explanation:
Answer:
photosynthesis
Step-by-step explanation:
pls help me with this multiple choice !
Answers
Answer:
Step-by-step explanation:
Cdd
Answer:
B
Step-by-step explanation:
[tex] \tan(60) = \frac{n}{46} \\ n =46 \sqrt{3} \\ \cos(60) = \frac{46}{m} \\ m = 92[/tex]
The sum of three numbers is 105. The third number is 2 times the first. The first number is 5 less than the second. What are the numbers?
Answers
Answer:
The second number = 30
The first number = 25
The third number = 50
Step-by-step explanation:
Let
The second number = x
The first number = x - 5
The third number = 2(x - 5)
Total = 105
105 = x + (x - 5) + 2(x - 5)
105 = x + x - 5 + 2x - 10
105 = 4x - 15
105 + 15 = 4x
120 = 4x
x = 120/4
x = 30
The second number = x
= 30
The first number = x - 5
= 30 - 5
= 25
The third number = 2(x - 5)
= 2(30 - 5)
= 2(25)
= 50
Please hurry I need an answer
Answers
Answer: The answer is 4
Step-by-step explanation:
Hope this helps.
Answer:
6
Step-by-step explanation:
6×6-3=36-3
=33>21
Hope it helps!
Thanks!
The dinner bill came to $24.29 before tax and tip. If the taxes were 6% and they decided to leave an 18% tip, what was the total cost of the dinner?
Answers
Answer:
$30.64 +6% tax and 18% tip
Step-by-step explanation:
Hope it helps
PLS HELP ME IM BEGGIN YOU THIS IS DUE IN 5 MIN
Answers
Answer:
3/10
Step-by-step explanation:
Let's assume;
30 ml of Orange Juice + 45 ml of Apple Juice + 25 ml of Coconut milk = 1 glass of Cocktail
30 ml : 45 ml : 25 ml = 1
30 + 45 + 25 = 100 ml = 1 glass of Cocktail
Orange juice proportion = Amount of Orange Juice in ml ÷ 1 glass of Cocktail in ml
Orange Juice proportion = 30 ml ÷ 100 ml
= 3/10
Answer:
In a fruit cocktail, for every 30 ml of orange juice you need 45 ml of apple juice and 25 ml of coconut milk.
Step-by-step explanation: Hope this is right I think there is 3/10 of Orange juice
Total Contents: 25 +30+45+100
Proportion of apple juice:
30/100
3/10
What is (1/3)^4 in PEMDAS
Answers
Answer:
1/81
Step-by-step explanation:
A loan was taken out for $1000 Sierra pays $50 per month what is the equation ?
Answers
Answer:
1000-50m
Step-by-step explanation:
Jada and Priya are trying to solve the equation 2/3+x=4
Jada says, “I think we should multiply each side by 3/2 because that is the reciprocal of 2/3."
Priya says, “I think we should add -2/3 to each side because that is the opposite of 2/3."
1. Which person's strategy should they use?
2. Explain your reasoning.
Answers
Answer:
Priya is correct. Because 2/3 is being added to x and not multiplied, then subtracting 2/3 from both sides is the correct action.
Step-by-step explanation:
Let's run through solving it that way:
2/3 + x = 4
2/3 - 2/3 + x = 4 - 2/3
0 + x = 4 - 2/3
x = 4 - 2/3
x = 10/3
can some one help me with this??
Answers
Solve: 4b + 3 = 32.2 b = _____
Answers
Step-by-step explanation:
4b+3=32.2
4b=29.2
b=7.3
Answer:
The answer is b = 0.10638297
Step-by-step explanation:
hope this helped!
brainly, please?
On a trip to New York City eight people spent a total of $900 on transportation and 500 and hotel room if they share the cop cop cost equally how much did each person
Answers
First add the cost up:
$900 on transportation + $500 hotel room= $1400 total
8 people paying $1400 means divide 1400 by 8 to see how much one person payed.
1400/8 = 175
Each person payed $175