Answer:
x=3
Step-by-step explanation:
-3x=-7-2=-9
x=-9/-3=3
Answer:
Right
Step-by-step explanation:
One of the angles is 90 degrees.
Answer:
- The arcs on the Golden Gate Bridge.
Explanation:
I think about the Golden Gate Bridge, which is a suspension bridge.
As in any suspension bridge, a long cable is supported by two large supports.
The cable falls from a support, in the form of a curve concave upwards, to a minimum point that is the vertex of the<em> parabola</em>, through which the axis of <em>symmetry</em> passes, and curves again upwards to ascend to the upper end of the other support.
As a <em>unique feature</em> of this parabolic arc you can tell that the the concavity is upward; the parabola open upward.
Also, you can tell that the parabola is vertical, which means that the axis of symmetry is vertical.
The <em>symmetry</em> is clear because to the curve to the left of the vertex is a mirror image of the curve to the right of the vertex.
Answer:
{ 5,10,15,20,25,30,35}
Step-by-step explanation:
The domain of the function is the input values
Domain { 5,10,15,20,25,30,35}
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 :)
