The slope is m=6 and length of line is 3.5√37.
<h3>What is slope?</h3>
The slope of a line is a measure of its steepness.
Given:
endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5
slope= 8-2/3-2= 6
Now, using distance formula,
d= √(3-2)² + (8-2)²
d= √1+ 36
d= √37
As, Line AB is dilated by a scale factor of 3.5.
So, new d= √37*3.5
new d= 3.5√37
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X²-y²=5
converting the above into polar form we shall have:
x=r cosθ; y=r sinθ
thus
x²-y²=5 will be written as:
(r cosθ)²-(r sinθ)²=5
r² cos²θ- r² sin²θ=5
factoring r² out we get:
r²(cos²θ- sin²θ)=5
using trigonometric identity:
cos²θ- sin²θ=cos(2θ)
thus the expression will be:
r²(cos (2θ))=5
r²=5/cos (2θ)
hence;
r=√[5/cos (2θ)]
Answer:
set X/Y = {0,23}
Step-by-step explanation:
We are given the sets;
X = {0, 12, 23}
Y = {3, 12, 15}
Now, we want to find the set X/Y.
The set X/Y means the set that has numbers which are only in set X but not in set Y.
The numbers from inspection of both sets are 0 and 23.
Thus;
set X/Y = {0,23}