From the attached graphic, Half-life = ln (.5) / k
Half-life =.693147 / <span>0.1142
= </span><span><span><span>6.0695884413
</span>
days
The value of "k" should be negative and should have units associated with it.
</span>
</span>
First step is square root both sides leaving with
x-6=+/-3
closest one is A
answer is A
When it asks for the image, that means what are your new coordinates after doing the rules they give you. In this, the rule is to subtract 2 from your x value and subtract 3 from the y value. So you subtract 2 from 0 and subtract 3 from 3. This will give you the values to use for the x and y of your answer:)
Set this up like a right triangle with the height of the triangle as 30, the angle across from that side, the reference angle, as 55, and the base is your unknown, x. This means that we have the angle, the side across from it, and the side adjacent to it. That sounds like the tangent ratio to me! Tangent of the angle is the side opposite over the side adjacent:

. Solving for x:

. Do that on your calculator in degree mode to get that the distance between the base of the ladder and the wall is 21 feet
A line that is parallel to another line will have the same slope, in our case, the slope of 3. Therefore, we can just change the y-intercept to create any line parallel to y=3x+5 (just remember to keep the slope the same). For example, y=3x+5, y=3x-9, and y=3x+6.2 are all equations that are parallel to y=3x+5.
:)