Answer:
See attached graph.
Step-by-step explanation:
To graph the line, convert the standard form into slope intercept form.
-x + 2y = 11
2y= x+11
y = 1/2 x + 11/2
Graph the equation by plotting the y-intercept (0,11/2) since b= 11/2.
Then from this point move up 1 unit and to the right 2 units. This point is (2, 13/2).
From this point move up 1 unit again and over to the right 2 units. This points is (4, 15/2).
Connect the points to the form the line.
Answer:
(x + 4)² + (y + 6)² = 64
Step-by-step explanation:
The standard form of equation of a circle is given as;
(x - a)² + (y - b)² = r²
Where;
a and b are the centre coordinates and r is the radius.
First of all, let's Calculate the midpoint coordinates.
This gives;
((-4 + (-4))/2), (2 + (-14))/2)
This is now (-4, -6)
Distance of radius is;
r = √((-4 - (-4))² + (-6 - 2)²)
r = 8
Equation of circle is now;
(x - (-4))² + (y - (-6))² = 8²
This gives;
(x + 4)² + (y + 6)² = 64
Given:
amount borrowed $6,100
interest rate 6% - assuming annual interest rate
term - 290 days of a 365 day year.
This is a simple interest computation.
Interest = Principal * interest rate * term
Interest = 6,100 * 6% * 290/365
Interest = 290.79
Total payment at the end of the 290 term would be $6,390.79.
Principal + interest → 6,100 + 290.79 = 6,390.79
Answer:
(3,2)
Step-by-step explanation:
The system is
x + y = 5
x -y = 1
Add the equations to eliminate y
2x = 6----->x=3
Substitute this value in any equation
3+y = 5----->y=2
The solution is (3,2)
