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vekshin1
3 years ago
8

Which pair of figures appears to be congruent

Mathematics
1 answer:
inn [45]3 years ago
7 0

Answer:

when they have equal sides and the exact shape and the same angle measures. they have tobe the same size.

Step-by-step explanation:

For example, when you have a square with sides 3 cm, then you compare it with the exact copy of the square. These squares are congruent. Two figures are congruent if and only if they have the exact same shape and the exact same size. If the corresponding sides of two figures with the same shape have the same length, then the two figures are congruent.

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Find the maximum value or minimum value for the function f(x) = 0.15(x + 1)² - 3.
il63 [147K]

Answer:

The minimum value for  f(x) = 0.15(x + 1)^2 - 3 is -3.

Step-by-step explanation:

Given function is f(x) = 0.15(x + 1)^2 - 3

We need to find the maximum value or the minimum value for the function.

Now, differentiate f(x) = 0.15(x + 1)^2 - 3  w.r.t x.

f'(x) =\frac{d}{dx}(0.15(x + 1)^2 - 3)\\f'(x)=\frac{d}{dx}(0.15(x+1)^2-\frac{d}{dx}(3)\\

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Now, we will equate f'(x)=0 to find critical point.

0.3(x+1)=0\\x=-1

Plug this critical point in to the function f(x) = 0.15(x + 1)^2 - 3  we get,

f(-1) = 0.15(-1 + 1)^2 - 3\\f(-1)=-3

Also, f''(x)=0.3 which is positive, We have minimum value.

So, the minimum value for  f(x) = 0.15(x + 1)^2 - 3 is -3.

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Step-by-step explanation:

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