Use following substitutions:
<span>r cosθ = x </span>
<span>r sinθ = u </span>
<span>r² = x² + y² </span>
<span>r = 8 cosθ + 4 sinθ </span>
<span>Multiply both sides by r </span>
<span>r² = 8 r cosθ + 4 r sinθ </span>
<span>x² + y² = 8x + 4y </span>
<span>This is equation of circle. We can put in standard form: </span>
<span>x² − 8x + y² − 4y = 0 </span>
<span>x² − 8x + 16 + y² − 4y + 4 = 16 + 4 </span>
<span>(x − 4)² + (y − 2)² = 20 </span>
<span>Circle centered at point (4, 2) with radius = √20</span><span />
Answer:
B, D, F, and H
Step-by-step explanation:
You substitute in each of the numbers for x and see if it equals one of the values in the range. {-37, -25, -13, -1}
A) -6(1)+11=-5 NO
B) -6(2)+11=-1 YES
C) -6(3)+11=-7 NO
D) -6(4)+11=-13 YES
E) -6(5)+11=-19 NO
F) -6(6)+11=-25 YES
G) -6(7)+11=-31 NO
H) -6(8)+11=-37 YES
So the ones to select are B, D, F, and H.
Answer:10
Step-by-step explanation
Add all values and divide by the total amount of addends.
Answer:
x = 20
Step-by-step explanation:
x - 8 = 12 Add 8 to both sides
x -8 + 8 = 12 + 8 Add -8 and 8; add 12 and 8
x = 20
Answer:
Step-by-step explanation:
