Answer:
It is relatively easy to determine whether an equation is a function by solving for y. When you are given an equation and a specific value for x, there should only be one corresponding y-value for that x-value. For example, y = x + 1 is a function because y will always be one greater than x.
Step-by-step explanation:
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 :)
Answer:
About 5.5% decrease
Step-by-step explanation:
Here, we want to calculate the percentage increase or decrease and its value.
The first thing to do here is to check if we are going to have a decrease or an increase.
since the value before the change is higher than the value after the change, then what we have is a decrease.
Mathematically, the percentage decrease is calculated as follows;
% decrease = (old value - new value)/old value * 100%
old value = 163 feet
new value = 154 feet
% decrease = (154-163)/163 * 100%
% decrease = -9/163 * 100%
% decrease = -5.52%
Thus the best answer is about 5.5% decrease
1) 1.403
2) 1.1
3) 1.078
4) 1.001
HOPE THIS HELPED :)
Answer:
use trig
Step-by-step explanation:
sin(15) = 100/x
x = 100/sin(15)
use calculator
