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 :)
So the equaiton is
number of nickes=n
number of quarters=q
if you have 1 quarter then you have 25 cents so we will represent like this
25q
and nickles is 5n
14.50=1450 cents
so
25q+5n=1480
q+n=88
subtract q from both sides
n=88-q
subsitute into first equation
25q+5(88-q)=1480
25q+440-5q=1480
add like terms
20q+440=1480
subtract 440 from both sides
20q=1040
divide both sdies by 20
q=52
there were 52 quarters
25(52)+5n=1480
1300+5n=1480
subtract 1300 from both sides
5n=180
divide both sides by 5
n=36
there were 36 nickels
nickles=36
quarters=52
A tossing five coins would give you a natural odds
Answer:
3 ±i√39
------------
4
Step-by-step explanation:
The coefficients of this quadratic equation are a = 2, b = -3 and c = 6. Thus, the discriminant is b^2 - 4(a)(c), or (-3)^2 - 4(2)(6), or 9 - 48, or -39.
Thus, the roots are:
-(-3) ± i√39 3 ±i√39
x = ------------------- = ----------------
2(2) 4
This corresponds to the first of the four given answers.
