Need answer NOW!!!! What are the solutions to the system of equations?
1 answer:
Answer:
The solution of the system of equations are the points (1,2) and (-1,-2)
a0=1, a1=-1,a2=-2
Step-by-step explanation:
we have
----> equation A
This is the equation of a circle centered at the origin
----> equation B
This is the equation of a line, that passes through the origin (a direct variation)
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection points both graphs
using a graphing tool
The intersection points are (1,2) and (-1,-2)
see the attached figure
therefore
The solution of the system of equations are the points (1,2) and (-1,-2)
a0=1, a1=-1,a2=-2
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Using the information given and linear function concepts, it is found that:
- a) The equation is:
.
- b) The skydiver’s altitude after the parachute has been open for 2 minutes is of 2000 feet.
- c) It takes 200 seconds for the skydiver to reach the ground.
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when t changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
Item a:
- The skydiver descends at a rate of 25 feet per second, hence
.
Then:
<u>90 seconds after the parachute opens, his altitude is 2750 feet</u>, which means that when , which is used to find b. Then:
Hence, the equation is:
.
Item b:
Time is in seconds, hence, this is y(120).
The skydiver’s altitude after the parachute has been open for 2 minutes is of 2000 feet.
Item c:
The time it takes to reach the ground is t for which y(t) = 0, hence:
It takes 200 seconds for the skydiver to reach the ground.
You can learn more about linear functions at brainly.com/question/26065573