1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marin [14]
2 years ago
14

6. A two-story building measures 21 feet

Mathematics
1 answer:
Rashid [163]2 years ago
6 0

Answer:

11.5 inches

Step-by-step explanation:

You might be interested in
How many more queen bee books were sold than jade owls
Arte-miy333 [17]

Answer:

I believe the answer will be 30 queen bee books.

7 0
3 years ago
Solve for XX. Assume XX is a 2×22×2 matrix and II denotes the 2×22×2 identity matrix. Do not use decimal numbers in your answer.
sveticcg [70]

The question is incomplete. The complete question is as follows:

Solve for X. Assume X is a 2x2 matrix and I denotes the 2x2 identity matrix. Do not use decimal numbers in your answer. If there are fractions, leave them unevaluated.

\left[\begin{array}{cc}2&8\\-6&-9\end{array}\right]· X·\left[\begin{array}{ccc}9&-3\\7&-6\end{array}\right] =<em>I</em>.

First, we have to identify the matrix <em>I. </em>As it was said, the matrix is the identiy matrix, which means

<em>I</em> = \left[\begin{array}{ccc}1&0\\0&1\end{array}\right]

So, \left[\begin{array}{cc}2&8\\-6&-9\end{array}\right]· X·\left[\begin{array}{ccc}9&-3\\7&-6\end{array}\right] =  \left[\begin{array}{ccc}1&0\\0&1\end{array}\right]

Isolating the X, we have

X·\left[\begin{array}{ccc}9&-3\\7&-6\end{array}\right]= \left[\begin{array}{cc}2&8\\-6&-9\end{array}\right] -  \left[\begin{array}{ccc}1&0\\0&1\end{array}\right]

Resolving:

X·\left[\begin{array}{ccc}9&-3\\7&-6\end{array}\right]= \left[\begin{array}{ccc}2-1&8-0\\-6-0&-9-1\end{array}\right]

X·\left[\begin{array}{ccc}9&-3\\7&-6\end{array}\right]=\left[\begin{array}{ccc}1&8\\-6&-10\end{array}\right]

Now, we have a problem similar to A.X=B. To solve it and because we don't divide matrices, we do X=A⁻¹·B. In this case,

X=\left[\begin{array}{ccc}9&-3\\7&-6\end{array}\right]⁻¹·\left[\begin{array}{ccc}1&8\\-6&-10\end{array}\right]

Now, a matrix with index -1 is called Inverse Matrix and is calculated as: A . A⁻¹ = I.

So,

\left[\begin{array}{ccc}9&-3\\7&-6\end{array}\right]·\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]=\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]

9a - 3b = 1

7a - 6b = 0

9c - 3d = 0

7c - 6d = 1

Resolving these equations, we have a=\frac{2}{11}; b=\frac{7}{33}; c=\frac{-1}{11} and d=\frac{-3}{11}. Substituting:

X= \left[\begin{array}{ccc}\frac{2}{11} &\frac{-1}{11} \\\frac{7}{33}&\frac{-3}{11}  \end{array}\right]·\left[\begin{array}{ccc}1&8\\-6&-10\end{array}\right]

Multiplying the matrices, we have

X=\left[\begin{array}{ccc}\frac{8}{11} &\frac{26}{11} \\\frac{39}{11}&\frac{198}{11}  \end{array}\right]

6 0
3 years ago
Which equation represents seven times a number decreased by 2 is 19? A)   7 + x -­ 2 = 19 B)   7x + 2 = 19 C)   2x - ­ 7 = 19 D)
Helen [10]

Answer:

7n - 2 = 19

Step-by-step explanation:

7 times a number is 7n.

7 times a number, decreased by 2, is 7n - 2.

7 times a number, decreased by 2, is 19  is represented by 7n - 2 = 19

4 0
3 years ago
Need Help question is in the photo.​
san4es73 [151]

Answer:D,E

Step-by-step explanation:

9/3=3

36=9×4

3 0
3 years ago
If f(x) = 2x and g(x) = x - 3, what is the value of f(g(5))?
Vesna [10]

Answer:

g(5)=5-3=2

f(2)=2×2=4

7 0
2 years ago
Other questions:
  • The basketball team sell t-shirts and hats as a fundraiser. they sold a total of 23 items and made a profit of $246. they made a
    6·1 answer
  • The diameter of circle A is EF.<br> True<br> False
    6·1 answer
  • Write the verbal sentence as an equation or an inequality: The sum of three and x is ten i really need help plzz help
    11·2 answers
  • The correlation coefficient for poor hearing and loud music in a group of people is 0.67. Analyze the following statement: Poor
    14·1 answer
  • A bag contains 7 red marbles, 8 blue marbles and 3 green marbles. If three marbles are drawn out of the bag, what is the exact p
    15·1 answer
  • An inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with major defects, prior to us
    12·1 answer
  • If sales tax is 8%, what is the tax on a sale of $400.00?
    5·1 answer
  • Last year, there sugar factories in a town
    12·1 answer
  • What’s the correct answer for this question?
    14·1 answer
  • 3. What are the two other ways to<br> write 15%
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!