1. Seekor burung helang berada 4.56 m di atas aras laut manakala seekor kuda laut berada 6.82 m

Mathematics

1 answer:

s2008m [1.1K]3 years ago

6 0

(a) Calculate the vertical distance between the eagle and the seahorse.

Answer a: 11.38 meters is the vertical distance between them.

(b) Describe Adrian's position from the sea level.

Answer b: Adrian is 1.13m below the sea level.

Step-by-step explanation:

(a) Since sea level is the origin of coordinates. distances above sea level are positive and distances below sea level are negative. The distance between two points is the difference between them.

The vertical distance between the eagle and the seahorse is the difference between their positions:

Distance = 4.56m - (-6.82m) = 4.56m + 6.82m = 11.38 meters

Answer a) 11.38 meters is the vertical distance between them.

(b) Adrian's position is in the middle of the distance between the eagle and the seahorse:

Middle = 11.38m/2 = 5.69m

Since 5.69m is more than 4.56m above the sea level, then Adrian is below the sea level:

4.56m - 5.69m = -1.13m

Answer b: Adrian is 1.13m below the sea level.

<h2><em>Spymore</em></h2>

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Please help ASAP brainliest.

lisov135 [29]

Answer:

$\left[\begin{array}{cc}2&8\\5&1\end{array}\right]$

Step-by-step explanation:

The <em>transpose of a matrix </em> $M^T$ is one where you swap the column and row index for every entry of some original matrix $M$ . Let's go through our first matrix row by row and swap the indices to construct this new matrix. Note that entries with the same index for row and column will stay fixed. Here I'll use the notation $p_{i,j}$ and $p^T_{i,j}$ to refer to the entry in the i-th row and the j-th column of the matrices $P$ and $P^T$ respectively:

$p_{1,1}=p^T_{1,1}=2\\p_{1,2}=p^T_{2,1}=5\\p_{2,1}=p^T_{1,2}=8\\p_{2,2}=p^T_{2,2}=1\\$

Constructing the matrix $P^T$ from those entries gives us

$P^T=\left[\begin{array}{cc}2&8\\5&1\end{array}\right]$

which is option a. from the list.

Another interesting quality of the transpose is that we can geometrically represent it as a reflection over the line traced out by all of the entries where the row and column index are equal. In this example, reflecting over the line traced from 2 to 1 gives us our transpose. For another example of this, see the attached image!