Answer: The distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.
Step-by-step explanation:
Since we have given that
Distance between Ships A and B = 1425 feet
Angle of depression from ship A to the submarine =59°
Angle of depression from ship B to the submarine = 47°
As shown in the figure below:
Remaining angle will be
So, we will use "Sine formula ":
Similarly,
Hence, the distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.
Answer:
(x, y, z) = (-4, 2, 1)
Step-by-step explanation:
See the attachment for the output of a calculator that produces the reduced row-echelon form of the matrix.
The [x, y, z] result vector is the column on the right.
(x, y, z) = (-4, 2, 1)
_____
Numerous web sites are available for computing the row-reduced form of the matrix, or for solving the system of equations. Your graphing calculator will do it as well.
The second matrix represents the triangle dilated by a scale factor of 3.
Step-by-step explanation:
Step 1:
To calculate the scale factor for any dilation, we divide the coordinates after dilation by the same coordinated before dilation.
The coordinates of a vertice are represented in the column of the matrix. Since there are three vertices, there are 2 rows with 3 columns. The order of the matrices is 2 × 3.
Step 2:
If we form a matrix with the vertices (-2,0), (1,5), and (4,-8), we get
The scale factor is 3, so if we multiply the above matrix with 3 throughout, we will get the matrix that represents the vertices of the triangle after dilation.
Step 3:
The matrix that represents the triangle after dilation is given by
This is the second option.
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I will give you a explanation about how I got the answer!
Plus, I'm am so sorry if I answer this so long...
Hope It Helped! :)
You would use the POINT SLOPE FORMULA and the Slope Formula
which is as follows ...
slope formula :
point slope formula:
