A function is differentiable if you can find the derivative at every point in its domain. In the case of f(x) = |x+2|, the function wouldn't be considered differentiable unless you specified a certain sub-interval such as (5,9) that doesn't include x = -2. Without clarifying the interval, the entire function overall is not differentiable even if there's only one point at issue here (because again we look at the entire domain). Though to be fair, you could easily say "the function f(x) = |x+2| is differentiable everywhere but x = -2" and would be correct. So it just depends on your wording really.
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To solve this equation, we will need to isolate y, the variable. These are the steps that follow:
1. Add 0.3y to each side.
2. Subtract 21.3 from each side.
3. Divide both sides by 5.4y.
Try and figure it out yourself! If you have trouble...
The answer is y = -8.5
Answer:
B (7, 4 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ 
, 
] ← midpoint formula
let coordinates of B = (x, y ), then using the midpoint formula, equate to each of the coordinates of M, that is
= 2.5 ( multiply both sides by 2 )
- 2 + x = 5 ( add 2 to both sides )
x = 7
= - 1.5 ( multiply both sides by 2 )
- 7 + y = - 3 ( add 7 to both sides )
y = 4
Thus
coordinates of B = (7, 4 )
Answer:
5 feet.
Step-by-step explanation:
i) Adam walks 3 feet north
ii) Betty walks 4 feet west.
iii) We know that the angle between north and west is 90 degrees.
iv) Therefore we can say that distance Adam walks is the height of a right
angled triangle and the distance that Betty walks is the base of the right
angled triangle.
v) Therefore by using Pythogoras's Theorem we can calculate the length of
the line between Adam and Betty as shown
length of line between Adam and Betty = 
feet.
