X²+y²-2y=7
using the formula that links Cartesian to Polar coordinates
x=rcosθ and y=r sin θ
substituting into our expression we get:
(r cos θ)²+(r sin θ)²-2rsinθ=7
expanding the brackets we obtain:
r²cos²θ+r²sin²θ=7+2rsinθ
r²(cos²θ+sin²θ)=7+2rsinθ
using trigonometric identity:
cos²θ+sin²θ=1
thus
r²=2rsinθ+7
Answer: r²=2rsinθ+7
Answer:
<h2>Vertical stretch or compression and vertical shift.</h2>
Step-by-step explanation:
When we talk about the transformation of functions, we can mention stretching, rotating, dilating, shifting. However, when we want to transform linear functions, there are only two transformations that are worthy in that case, those are vertical stretch or compression and vertical shift.
Now, you may ask, why only vertical transformation? the reason behind that is because horizontal transformation would give the exact same result because it's only a straight line which we are transforming.
Another common question would be, why only two transformations? it's because with these two you can get all the results because it's a straight line.
The image attached shows examples of this.
Answer:
An exponential function is a mathematical function denoted by f{x}=\exp or e^(x)
Answer:
8:30
Step-by-step explanation:
At 12:00 (noon) In New York, It is 2:00 pm in Rio De Janerio.
That if he left at 1 in NY it would've been 3 in Rio, 3+5.5=8.5
Which is 8:30 pm. Hope this helped!!