Answer:
Part 1) The exact solutions are
and
Part 2) (1.79, 8.58)
Step-by-step explanation:
we have
----> equation A
----> equation B
we know that
When solving the system of equations by graphing, the solution of the system is the intersection points both graphs
<em>Find the exact solutions of the system</em>
equate equation A and equation B

The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
so
The solutions are
<em>Find the values of y</em>
<em>First solution</em>
For 


The first solution is the point
<em>Second solution</em>
For 


The second solution is the point
Round to the nearest hundredth
<em>First solution </em>
-----> 
-----> 
see the attached figure to better understand the problem
Answer:
- 12 meters
28 meters
40 meters
Step-by-step explanation:
Given that:
A fish is 12 meters below the surface of the ocean. What is its elevation?
Position of fish = 12 meters below the surface = - 12 ;
Sea level = 0
Elevation = sea level + position
Elevation = 0 + (- 12)
= - 12 meters
2. A sea bird is 28 meters above the surface of the ocean. What is its elevation?
Position of bird = 28 meters below the surface = (28) ;
Sea level = 0
Elevation = sea level + position
Elevation = 0 + 28
= 28 meters
3. If the bird is directly above the fish, how far apart are they?
If bird is directly above the fish;
Distance between bird and fish :
Elevation of bird - elevation of fish
28 - (-12)
28 + 12
= 40 Meters
Answer:
-6/8
Step-by-step explanation:
The rate of change is the same as the slope (I don't know if you have learned that term yet), but basically its the change in y's over the change in x's. to find this out, all you have to do is count from the point on the graph that is the farthest right (in this case, (6,1)), up to the y coordinate of the point farthest to the left (-2, 7) which is 6, and then count the number of spaces between the x coordinates, which is 8. put the rise (up and down count) over the run (horizontal count) in a fraction form, which gives you 6/8, and then notice how the line is pointing towards the bottom RIGHT hand corner making the line negative, so you need to make the rate of change negative, giving you the final answer of -6/8.
First find the side lengths of the box by factoring each area:
12: 1, 2, 3, 4, 6, 12
15: 1, 3, 5, 15
20: 1, 2, 4, 5, 10, 20
Find 3 numbers that both have 2 sides have in common and can multiply to make the areas of the faces:
12: 3 * 4
15: 3 * 5
20: 4 * 5
Sides: 3, 4, and 5
Then multiply to get the volume:
3 * 4 * 5 = 60 units^2
The correct answer is B. y=-3x+4