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Elina [12.6K]
4 years ago
10

any help is appreciated :) here's the question: is the relationship between the side length of a square and the area of the squa

re an example of a function, explain.
Mathematics
1 answer:
Bingel [31]4 years ago
6 0
Area of a square = l x w

To find the area of a square you multiply the side length, and as we know the length and width of a square is the same, so the relationship between the side length and area is that the side length determines the area of a square.

An example is if the sides = 6

6 x 6 = 36

So the area would be 36

When you have the area of a square, you find the square root of the number to determine the side lengths

An example would be A = 49
The square root of 49 is 7 so, so the side length is 7.
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Find the zeros of y = x2 – 6x – 4 by completing the square.
katrin [286]

Answer:

The solutions to the quadratic equations are:

x=\sqrt{13}+3,\:x=-\sqrt{13}+3

Step-by-step explanation:

Given the function

y\:=\:x^2\:-\:6x\:-\:4

substitute y = 0 in the equation to determine the zeros

0\:=\:x^2\:-\:6x\:-\:4

Switch sides

x^2-6x-4=0

Add 4 to both sides

x^2-6x-4+4=0+4

Simplify

x^2-6x=4

Rewrite in the form (x+a)² = b

But, in order to rewrite in the form x²+2ax+a²

Solve for 'a'

2ax = -6x

a = -3

so add a² = (-3)² to both sides

x^2-6x+\left(-3\right)^2=4+\left(-3\right)^2

x^2-6x+\left(-3\right)^2=13

Apply perfect square formula:  (a-b)² = a²-2ab+b²

\left(x-3\right)^2=13

\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}

solve

x-3=\sqrt{13}

Add 3 to both sides

x-3+3=\sqrt{13}+3

Simplify

x=\sqrt{13}+3

now solving

x-3=-\sqrt{13}

Add 3 to both sides

x-3+3=-\sqrt{13}+3

Simplify

x=-\sqrt{13}+3

Thus, the solutions to the quadratic equations are:

x=\sqrt{13}+3,\:x=-\sqrt{13}+3

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Answer:

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Step-by-step explanation:

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Nat2105 [25]
A. (3x7)+(3x4)
should be the correct one bc the other options dont get the same answer in the end
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What is 2 1/4 + 1 2/5
Mamont248 [21]
4 and 5 both go into 20
1/4 equals 5/20
2/5 equals 8/20

So 2 and 5/20 + 1 and 8/20 is
3 and 13/20
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4 years ago
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Answer:

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Step-by-step explanation:

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