Answer:
it looks like you already have the answer but the answer would be slope as -1/3 and y intercept as -6
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This is because the sum of the two smaller sides in a triangle has to be larger than the bigger sides. 10+12=22.
22 is smaller than 24 which is the third side this no triangle is formed
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Answer:
y = 0.2
Step-by-step explanation:
Simplifying
-6y + 5 = 29y + -2
Reorder the terms:
5 + -6y = 29y + -2
Reorder the terms:
5 + -6y = -2 + 29y
Solving
5 + -6y = -2 + 29y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-29y' to each side of the equation.
5 + -6y + -29y = -2 + 29y + -29y
Combine like terms: -6y + -29y = -35y
5 + -35y = -2 + 29y + -29y
Combine like terms: 29y + -29y = 0
5 + -35y = -2 + 0
5 + -35y = -2
Add '-5' to each side of the equation.
5 + -5 + -35y = -2 + -5
Combine like terms: 5 + -5 = 0
0 + -35y = -2 + -5
-35y = -2 + -5
Combine like terms: -2 + -5 = -7
-35y = -7
Divide each side by '-35'.
y = 0.2
Simplifying
y = 0.2
Answer:
The general form of a natural logarithmic function is <em>f(x)=a In(x-h) +k.</em> Since the initial average length of the lizards was 20 centimeters, one possible point (h+1,k) through which the function passes is (0,20).
In this case, h= -1 since h +1 = 0 and k = 20.
It follows that x - h = (-1) = x + 1.
So, the function takes the form <em>f(x) = a In(x + 1) +20. </em>
The average length of the lizards after 2 years is 22.197. So f(2) =22.197. We substitute this value into the function
Step-by-step explanation:
<em>f(2) = a In(2 +1) +20 </em>
<em>22.197 = a In(3) + 20 </em>
<em></em>
<em>≈ a </em>
<em>2 ≈ a</em>
So the function that represents the average length of the lizards across this generation is <em>f(x) = 2 In(x+1) +20 </em>