Let P be the plane that intersects
- x-axis at point (-5,0,0);
- y-axis at point (0,-2,0);
- z-axis at point (0,0,5).
Write the equation of the plane P:

Then

The coefficients at variables x, y and z are the coordinates of perpendicular vector to the plane. Thus

Answer: 
Answer:
{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)
Step-by-step explanation:
From this equation 4x − y = 3
-y = 3 - 4x
then, y = 4x - 3
From line equation y = mx + b
Therefore, the slope is 4
Since the are parallel line, they will have same slope
Finding the derivative of y = 2 + 2e^x − 4x
y = 2 + 2e^x − 4x
y' = 0 + 2e^x - 4
Therefore,
4 = 2e^x - 4
4 = e^x
x = ln 4 = 1.39
To find the y coordinate
y = 2 + 2e^x − 4x
y = 2 + 2e^ln 4 − 4 ln 4
y = 4.45
Hence, they are parallel at point (1.39 and 4.45)
Answer:
0.03
Step-by-step explanation:
Calculation for What number did Michael used
Using this formula
Number used=Number of Product recorded/Number multiplied
Let plug in the formula
Number used =0.012/0.4
Number used =0.03
CHECK: 0.4*0.03=0.012
Therefore the number that Michael used is 0.03
First, turn 12 percent into decimal which is .12
Of = multiple
So now you times .12 times 91 which is 10.92
Answer 10.92
Hope this help