The problem cannot be fully solved because you did provide the line on which the line is parallel/ but i can give you the steps on how to solve it. first solve the slope of the parallel line by
m = ( y2 - y1 ) / ( x2 - x1 )
then the slope of that line is equal to slope of line passing pooint ( -1 , 1)
then solve the y intercept of the line using
y = mx + b
where b is the y intercept
then you will have the equation of the line
Answer:
The answer to your question is:
x = 1
y = 1
z = 0
Step-by-step explanation:
-2x + 2y + 3z = 0 (1)
-2x - y + z = -3 (2)
2x + 3y + 3z = 5 (3)
Solve (1) and (2)
Multiply 2 by 2
-2x + 2y + 3z = 0
-4x -2y + 2z = -6
-6x + 5 z = -6 (4)
Solve (2) and (3)
Multiply 2 by 3
-6x - 3y + 3z = -9
2x + 3y + 3z = 5
-4x + 6z = -4 (5)
Solve (4) and (5)
Multiply (4) by 2 and (5) by -3
-12x + 10 z = -12
12x - 18z = 12
-6z = 0
z = 0
Then
-4x + 6(0) = -4
-4x = -4
x = -4/-4
x = 1
Finally
-2(1) - y + (0) = -3
-2 - y = -3
-y = -3 + 2
y = 1
The growth of the bacteria is expressed as:
<span>B(t) = 4 e^0.8t
</span>
where t is the time in units of hours. If the bacteria is allowed to grow for 8 hours then the number of bacteria present would be,
<span>B(t) = 4 e^0.8(8)
</span><span>B(t) = 2407</span>
The rate of change of the linear equation is 
Explanation:
The given two coordinates are 
and 
To determine the rate of change, let us use the formula,
Substituting the coordinates in the equation, we get,
Simplifying, we have,
Dividing, we get,
Thus, the rate of change of the linear equation is
This should be g(x) = 12x - 8, as multiplying 3 by 4 increases the slope.
