If the area of a rectangle is

Mathematics

1 answer:

dangina [55]3 years ago

6 0

Answer:

Step-by-step explanation:

width = area ÷ length = 5x+3

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Write a linear factorization of the function. (5 points) f(x) = x4 + 81x2

amid [387]

F(x) = x^4 + 81x^2
f(x) = x^2*x^2 + x^2*81
f(x) = x^2*(x^2 + 81) ... see note 1
f(x) = x^2*(x + 9i)(x - 9i) ... see note 2

note 1: if you haven't learned about complex or imaginary numbers yet, then you would stop at the line with "note 1" on it

note 2: you would stop here if you have learned about complex or imaginary numbers and you want to factor over the complex numbers. I used the rule that
a^2 + b^2 = (a+bi)*(a-bi)

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3 years ago

Rectangle URST undergoes a dilation centered at the origin. The result is rectangle U'R'ST. Which rule describes

wel

Answer:

The rule depends on the scale factor.

Step-by-step explanation:

Hi there,

1) Many, I'd say mostly, dilations is centered at the origin (0,0) of the cartesian plane. Like the picture below.

2) So now, what's left to do is what is the scale factor? What coefficient that multiplies the original rectangle URST, will result the U'R'S'T'?

3) Since no coordinates, no options or any numerical value were given, then I've made one example.

Check below

If you do have the coordinates of each point then divide each coordinate this way

$\frac{U'(x,y)}{U(x,y)}=\frac{R'(x,y)}{R(x,y)}=\frac{S'(x,y)}{S(x,y)}=\frac{T'(x,y)}{T(x,y)}=scale \:factor\\\frac{U'(-4,4)}{U(2,2)}\Rightarrow U'=2U\\(x,y)=D2(x,y)$