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SSSSS [86.1K]
2 years ago
12

Which equation is equivalent to f(x) = 16x^4 – 81 = 0?

Mathematics
1 answer:
san4es73 [151]2 years ago
5 0

Answer:

Step-by-step explanation:

I'm pretty sure you are looking for factored forms as an equivalent equation, so here is how you do it.  

This equation would be solved by difference of squares. 16, x^4, and 81 are all perfect squares ( which means that it is a number multiplied by itself, 16 is 4 x4 for example). So the first thing you want to do is recall the formula which is

(a^2 - b^2) = (a - b)*(a + b)  

(16x^4 - 81)= 0

Find the sq. root of 16 which is 4, and of x^4 which is x^2, and 81 which is 9. Now re write it in the (a - b)*(a + b) format. ----> (4x^2 - 9)*(4x^2 + 9) = 0

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Umnica [9.8K]

Answer:

(a)

Shortest Side of the trapezoid =6 yds

Longest Side =8 yds

(b)42 Square Yards

Step-by-step explanation:

<u>Part A</u>

In the Trapezoid, Width =6 yd

Since the shortest side of the playground and its width have the same dimension, then:

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<u>Part B</u>

Area of the Playground

In the trapezoid

a=6 yd, b=8 yd, h=Width=6 yd

Area of a trapezoid=\frac{1}{2}(a+b)h<u />

<u />Therefore: Area=\frac{1}{2}(6+8)*6\\=14*3\\=42$ Square Yards<u />

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