Answer:
The system of this equation is ( -1, 10) which is Option A.
Step-by-step explanation:
Solve for y in the first equation.

Replace all occurrences of yy with -5x+5 in each equation.

Solve for x in the first equation.

Replace all occurrences of x with -1 in each equation.

The solution to the system is the complete set of ordered pairs that are valid solutions.
(−1, 10)
<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>system</u><u> </u><u>of</u><u> </u><u>this</u><u> </u><u>equation</u><u> </u><u>is</u><u> </u><u>(</u><u>-1</u><u>,</u><u> </u><u>10</u><u>)</u><u>.</u><u> </u>
<u>Option</u><u> </u><u>A</u><u>.</u>
Answer:
In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain or polygonal circuit. The solid plane region, the bounding circuit, or the two together, may be called a polygon.
The segments of a polygonal circuit are called its edges or sides, and the points where two edges meet are the polygon's vertices(singular: vertex) or corners.
So, if a shape has points where two edges meet, it is indeed a polygon. Some examples include: Equilateral Triangles, Squares, Regular Pentagons, Regular Hexagons, Regular Heptagons, and Regular Octagons.
55 cause 45 + 15 = 60+40 =100]
Answer:
x(t) = 5000*( 1 - e^-kt)
Step-by-step explanation:
Given:
- Total number of students n = 5000
Find:
Differential equation governing the number of students x(t) who have contracted the flu.
Solution:
- Number of non-affected students = (5000 - x)
Hence,
- Rate at which students are infected:
dx / dt = k*(5000 - x )
- separate variables:
dx / (5000 - x ) = k*dt
- Integrate both sides:
- Ln(5000 - x) = kt + C
- Evaluate C for x = 0 @ t = 0
- Ln(5000 - 0) = k*0 + C
C = - Ln(5000)
- The solution to ODE is:
Ln(5000 - x) = -k*t + Ln(5000)
5000 - x = 5000*e^-kt
x(t) = 5000*( 1 - e^-kt)
The conversion factor between radians and revolution as measures of angle is 2π rad is equal to 1 revolution. Converting the given angular velocity to rev/s,
(2.8 rad) x (1 rev / 6.28 rad) = 70/157 revolution per second
Dividing the given angle, 20 rev by the velocity,
(20 rev) / (70/157 rev/s) = 44 6/7 s
Thus, the answer is approximately 44.9 seconds.