Answer:
(1)
Karen:
Alice:
(2): Slope is 2
(3) y intercept
--- For Karen
--- For Alice
(4) They do not intersect
(5) No solution
(6) No
Step-by-step explanation:
Given
Solving (1): Complete the equation.
For Karen:
--- the rate
--- additional spendings
For Alice:
--- the rate
--- additional spendings
The general equation is;
For Karen, it becomes
For Alice, it is:
(2): The slopes.
In (1), we have:
--- the rate (for both Karen and Alice).
This rate implies the slope.
<em>Hence, the slope is 2</em>
(3): The y intercept.
The additional spendings in (1) means the y intercept.
So, we have:
--- For Karen
--- For Alice
(4) Because they have the same slope, they do not intersect
(5) Number of solutions.
Subtract both equations
This means there is no solution
(6) Can they spend the same amount on the same number of loaves
In (5), the equations have no solution
<em>Hence, it is not possible to spend the same amount for the same number of loaves</em>
Answer:
(-2/17, 5/17)
Step-by-step explanation:
Given the coordinates A (-3,-5) to B (9,4), we are to find the coordinate of the point cutting the line using the ratio 7:10
Using the midpoint formula;
M(X,Y) = {(ax1+bx2/a+b, (ay1+by2/a+b))
Given
x1 = -3, y1 = -5, x2 = 9, y2 = 4, a = 7 and b = 10
get the required coordinates;
X = ax1+bx2/a+b
X = 7(-3)+10(9)/7+10
X = -21+19/17
X = -2/17
Get the Y coordinate;
Y = ay1+by2/a+b
Y = 7(-5)+10(4)/7+10
Y = -35+40/17
Y = 5/17
Hence the required coordinate is (-2/17, 5/17)
Answer:
Step-by-step explanation:
We begin with the differential equation
Firstly, we need to get the and as well as the and on the same sides as each other
To do this, we can multiply each side by and divide each side by
Doing this will give us the following differential
Now, we can integrate each side
Now, we need to solve for y
Answer:
Step-by-step explanation:
Given
-- center
--- pass through
Required
The radius (r)
The equation of circle is:
So, we have:
Take square roots of both sides