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:
DE = about 41.843 (rounded to nearest thousandth)
EF= 34.276 (rounded)
Step-by-step explanation:
For DE, we know that the shorter side (the opposite side) is 24, while the angle across form it is 35°. We can use trigonometry to figure this out. SinФ equals the opposite side (in this case, 24) divided by the hypotenuse. Set sinФ equal to a ratio of the sides like this:
sin(35) =
x represents the hypotenuse length, which we don't know; 35 is the angle measure. Next, isolate x so that the equation looks like this:
= x
You will need a calculator for the next part. (and make sure you're in degree mode!). evaluate sin(35) and divide 24 by that value. That is DE's length. DE = about 41.843 (rounded to nearest thousandth)
For EF, we can just use Pythagorean theorem now that we know the other sides' values.
EF^2 + 24^2 = DE^2
*a calculator might also be useful for this part.
EF= 34.276 (rounded)
Answer:

Step-by-step explanation:
Proportional functions can be represented by
, where
is a constant of proportionality and
represents any point the line passes through.
In the graph, we can see the line passes through (20, 40). Therefore, we can plug in these coordinates to find the constant of proportionality:

It depends upon favorable outcomes so we need favourable outcome first
Answer:
no sorry
Step-by-step explanation: