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postnew [5]
3 years ago
11

What is the polar graph of r = 2cos3(theta) and a characteristic?

Mathematics
1 answer:
AVprozaik [17]3 years ago
4 0
<span>we are given the function r=2cos(3θ)
from the pythagorean theorem,</span> <span><span>r2</span>=<span>x2</span>+<span>y2
from the polar definition,</span></span> <span>x=rcos3θ</span> <span><span>x/r = </span>cos3θ</span> <span>y=rsin3θ</span> <span>r=2<span>x/r</span></span> <span><span>r2</span>=2x</span> <span><span><span>x2</span>+<span>y2</span>−2x=0. 

This equation represents a parabola</span></span>
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If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height
Tju [1.3M]

Correct question :

If the perimeters of each shape are equal, which equation can be used to find the value of x? A triangle with base x + 2, height x, and side length x + 4. A rectangle with length of x + 3 and width of one-half x. (x + 4) + x + (x + 2) = one-half x + (x + 3) (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3) 2 (x) + 2 (x + 2) = 2 (one-half x) + 2 (x + 3) x + (x + 2) + (x + 4) = 2 (x + 3 and one-half)

Answer: (x + 2) + x + (x + 4) = 2 (one-half x) + 2 (x + 3)

Step-by-step explanation:

Given the following :

A triangle with base x + 2, height x, and side length x + 4 - - - -

b = x + 2 ; a = x ; c = x + 4

Perimeter (P) of a triangle :

P = a + b + c

P =( x + 2) + x + (x + 4) - - - (1)

A rectangle with length of x + 3 and width of one-half x

l = x + 3 ; w = 1/2 x

Perimeter of a rectangle (P) = 2(l+w)

P = 2(x+3) + 2(1/2x)

If perimeter of each same are the same ; then;

(1) = (2)

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Which relationship describes angles 1 and 2?
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