We know that the ocean floor has a depth of 247 ft, and we also know that the diver is<span> underwater at depth of 138 ft, so its distance from the ocean floor will be:
</span>

ft
<span>
Now, the </span>rock formations rises to a peak 171 to above the ocean floor, so to find <span>how many feet below the top of the rock formations is the diver, we are going to subtract the distance to the driver form the ocean floor from the rock formations height:
</span>

ft
<span>
We can conclude that the diver is 62 feet </span><span>
below the top of the rock formations.</span>
X = 36/5
Or x = 7.2
21 + x = 6x - 15
21 = 6x - 15 - x
21 = 5x - 15
21 + 15 = 5x
36 = 5x
36/5 = x
Y = f(x) = 8x^2 - 2x + 3
a.) dy/dx = 16x - 2
b.) dy = (16x - 2)dx
dy = (16(2) - 2)(2 - 1.97) = 0.03(32 - 2) = 0.03 * 30 = 0.9
dy = 0.9
c.) (8(2)^2 - 2(2) + 3) - (8(1.97)^2 - 2(1.97) + 3) = 31 - 30.1072 = 0.8928
Δy = 0.8928
6+(-5) is the same as 6-5 because when adding negative 5 to 6 you are basically subtracting a regular 5 from 6. So the + in front of the parenthesis makes the 5 a positive: 6+(-5) —— 6-5
<span>CD = 24
Triangles ABX and CDX are similar triangles. So the ratio of lengths between corresponding legs of the triangles will have the same value. You know that they're similar triangles because both of them are right triangles (so you know that one angle is the same in both) and that arc draw on both angles AXB and CXD indicate that those angles match as well. That tells you there's a second angle that's matching in both triangles, and because two of the angles match, you also know that the unmarked angle matches as well since all the angles in a triangle have to add up to 180 degrees.
So you know that AB/CD = BX/DX. Substitute known values and you get
AB/CD = BX/DX
12/CD = 2.5/5
Now solve for CD
12/CD = 2.5/5
12/CD = 1/2
24/CD = 1
24 = 1 * CD
24 = CD
So the value of CD is 24.</span>