Answer:
The ship is located at (3,5)
Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III
Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II
To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.
Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9
We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3
Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5
Based on the above, the position of the ship is (3,5).
Hope this helps :)
Parallel: the lines have = slopes. We thus need 5/6 to equal 2/p. then 5p must equal 12, and p = 12/5. (answer)
Check: Is 5/6 = 2 / (12/5)? YES
Perp.: The lines have slopes that are negative reciprocals of one another.
Then -6/5 = 2/p, or
-6 2
---- = ----
5 p Thus, -6p = 10, and p = -5/3 (answer)
Answer:
<em>201.06 sq. ft.</em>
Step-by-step explanation:
Area of a circle is found by using the equation:
Radius = 1/2 (diameter) = 1/2 (16) = 8
So plug in:
A = 64
A = 201.06193
Rounded A= 201. 06
X + (x − 2) + (x − 4) = ? ; In which
<span>
x + x </span>− 2 + x − 4 ;
Combine the "like terms" ;
x + x + x = 3x ;
− 2 − 4 = −6 ;
So we have: "3x − 6" as the sum. ;
___________________________
The sum of three consecutive odd integers, in which "x" is the greatest integer; is: "3x − 6" .
_____________________________________________
Note: The three consecutive odd integers, from least to greatest, are:
"(x − 4)" , "(x − 2)" , and "x" .
The sum is: "(3x − 6)<span>" .
</span>_____________________________________________
Note: "(3x − 6)" factors into: " 3(x −2)" .
Note that: " (x − 2) " is the second integer.
______________________________________________
So the sum total, which is: "(3x − 6)" ; is 3 (three) times the value of the second integer; that is, "3 (x − 2)" .
______________________________________________
Answer
7.59 x 10⁻⁷
Step-by-step explanation:
