Since we want to find the value of <em>k</em><em> </em>where the limit exists, set both equations equal to each other. Then substitute <em>x</em> = -1 in for each equation to find <em>k</em><em>.</em>
<em>
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1. Set both equations equal.

2. Substitute <em>x</em><em> </em>= -1.

3. Solve for <em>k</em><em> </em>by adding <em>k</em><em> </em>to both sides. Continue the process of solving the equation.


Thus, <em>k</em><em> </em>= -2. Check by graphing the function.
Answer: 2,250
Step-by-step explanation:
Volume of the pool is given by : Length X breadth X height
V = 50 X 15 X 3
V = 2,250
Answer:
x= - 2
Step-by-step explanation:
hello :
note : the equation of the axis symmetry for the parabola : y =ax²+bx+c
when : a≠ 0 is : x=- b/2a
in this exercice : a=1 and b=10
so : x= -10/2 = -5
Answer:
-15
Step-by-step explanation:
-3+8-5. 5x3=15 and because it is -p it would be -15.
Check out the attached image for the drawing of how this would look. The drawing isn't 100% needed but it helps I think.
Based on the figure shown in the attachment, we have a right triangle with the adjacent leg of 80 (this leg is closest to the bottom 12 degree angle) and an opposite leg of h
In short,
adjacent = 80
opposite = h
We'll use the tangent rule
tan(angle) = opposite/adjacent
tan(12) = h/80
80*tan(12) = h
h = 80*tan(12)
h = 17.0045249336018 <<-- see note below
So the lighthouse is roughly
17.0045249336018 meters tall
Answer: 17.0045249336018Note: Make sure you are in degree mode. The value is approximate. Round this answer however you need to