Gregory plans to make a kite like the one shown. He has 1,700 square inches of plastic sheeting. Does Gregory have enough plasti
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The value of constant c for which the function k(x) is continuous is zero.
<h3>What is the limit of a function?</h3>The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.
To determine the value of constant c for which the function of k(x) is continuous, we take the limit of the parameter as follows:
Provided that:
Using l'Hospital's rule:
Therefore:
Hence; c = 0
Learn more about the limit of a function x here:
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Answer:
0.4 cm
Step-by-step explanation:
The magnifying glass basically zooms into smaller objects. If the insect appears to be 2cm, then it is actually smaller than this. It cannot be 10 cm.
If the scale factor is 5, then this means that the insect is zoomed in 5 times through the magnifying glass. Use the following ratio:
This fraction can also be seen as division, so:
÷
The insect is actually 0.4 cm long.
(or 4 millimeters)
:Done
Let us try and solve it analytically. We have that the side=x+3 together with the short side=s and the diagonal=x+4 satisfy the Pythagorean Theorem. Then we have that 
. This yields 
which yields s^2=2x+7, hence a) is the correct answer.
which yields s^2=2x+7, hence a) is the correct answer.