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)
Select 4 from 9, and 3 from 8. Multiply together.
C(9,4)*C(8,3)
=9!/(4!5!) * 8!/(3!5!)
=7056
Answer:
Links are blurry please type (:
Step-by-step explanation:
Circumference of a circle =2πr
6.28=2πr
3.14=πr
3.14/π=r
3.14/3.14=r
<h2>therefore,r=1</h2>
Answer:

Step-by-step explanation:
To calculate an area of a rectangle, use the formula A=l*w. We know the width is 7m greater than the length. So w = 7 + x. So the area is A= (7+x)*x.
We also know the area is 170. Substitute this value for A and solve.