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MrMuchimi
4 years ago
9

HURRY 10 POINTS!!!!

Mathematics
2 answers:
alisha [4.7K]4 years ago
6 0

Answer:

4\sqrt{7}

Step-by-step explanation:

Its a 45, 45, 90 triangle, which means that the hypotenuse is always the equals sides length by \sqrt{2}.

(2\sqrt{14} )*\sqrt{2} = 4\sqrt{7}

fredd [130]4 years ago
6 0

Answer:

4\sqrt{7}

Step-by-step explanation:

The lines on the two sides of the triangle represent congruency (meaning that they both are worth the same value)

Use pythagorean theorem a^{2} + b^{2} = c^{2}. a and b are both the same value

Square root to find c

The answer is then \sqrt{112}  now we need to simplify it further into radical form

Find the greatest set of numbers that include one perfect square and the other a normal number. These numbers should multiply to be 112

These numbers are 16 and 7

16 is the perfect square number because when you square root it, it is a clean number... 4!

The perfect square root always goes outside the radical and the other number (which is 7 in this case) always goes inside the radical

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A <em>shrink</em> of a function is a <em>shrink</em> on the vertical direction. It means that for a certain value of x, the new function will have a lower value, in the intervals where the function is positive, or a higher value, in those intervals where the function is negative. This is, the image of the new function is shortened in the vertical direction.


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So, we just must apply the rule: to find a shrink of an exponential growth function, multiply the original function by a scale factor less than 1.


Since it <em>is a shrink of</em> <em>an exponential growth function</em>, the base must be greater than 1. Among the options, the functions that meet that conditon are a and b:


a. f(x)=\frac{1}{3} (3)^x \\ \\ b.f(x) = 3(3)^x


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Step-by-step explanation:

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