Answer:
Step-by-step explanation:
Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal
look at picture
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:
$40
Step-by-step explanation:
The earnings of Gabriel can be calculated with the formula:
P = Po * (1 + r/n)^(nt)
Where P = 900, r = 0.0325, n = 365 and t = 19
So we have:
P = 900 * (1 + 0.0325/365)^(365*19) = $1,668.81
The earnings of Daniel can be calculated with the formula:
P = Po * e^(rt)
Where Po = 900, r = 0.03375 and t = 19
So we have:
P = 900 * e^(0.03375*19) = $1,708.97
So the amount that Daniel will have more than Gabriel is:
1708.97 - 1668.81 = $40.16
Rounding to nearest dollar, the difference is $40
The measure of the unknown angles in the kite are as follows;
- x = 66 degrees
- y = 158 degrees
<h3>How to find the measure of a kite?</h3>
A kite has two pairs of adjacent equal sides.
In other words, a kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.
One pair of opposite angles is equal. Diagonals are perpendicular to each other.
A kite has four interior angles and the sum of these interior angles is 360°
Therefore, the measures of the
x = 66 degrees.
Let's find y.
y = 360 - 70 - 66 - 66
y = 158 degrees.
learn more on kites here: brainly.com/question/24263475
#SPJ1
Answer:
Step-by-step explanation:
80 x 4 = 79+81+77+x
320=237 + x
320-237 = x
83=x
so Marianne must score 83 points or higher on her last test
