Answer:
d=√(x2-x1)² + (y2-y1)²
Step-by-step explanation:
ans is √85 unit
<h3>Answer is -9</h3>
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Work Shown:
(g°h)(x) is the same as g(h(x))
So, (g°h)(0) = g(h(0))
Effectively h(x) is the input to g(x). Let's first find h(0)
h(x) = x^2+3
h(0) = 0^2+3
h(0) = 3
So g(h(x)) becomes g(h(0)) after we replace x with 0, then it updates to g(3) when we replace h(0) with 3.
Now let's find g(3)
g(x) = -3x
g(3) = -3*3
g(3) = -9
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alternatively, you can plug h(x) algebraically into the g(x) function
g(x) = -3x
g( h(x) ) = -3*( h(x) ) ... replace all x terms with h(x)
g( h(x) ) = -3*(x^2 + 3) ... replace h(x) on right side with x^2+3
g( h(x) ) = -3x^2 - 9
Next we can plug in x = 0
g( h(0) ) = -3(0)^2 - 9
g( h(0) ) = -9
we get the same result.
Step-by-step explanation:
Plug x in :
-8(7-3) = -32
Distribute :
-56 - (-24) = -32
Subtract :
-32 = -32
The maximum number of fish is going to be p(9) = 200
No,
although all the sides are the same length on an equilateral triangle the height is calculated by a straight perpendicular line at the mid point of the base.
The sides are not perpendicular with the base and are angled outwards