Answer
A) $d=6$
B) $d=2$
C) $d=5$
D) $d=5$
E) $d=4.243$
F) $d=6$
G) $d=4$
H) $d=12$
Work Step by Step
For circles and ellipses, $d$ is the larger of $a$ and $b$. For hyperbolas, $d$ is $a$ if there are x-intercepts or $b$ if there are y-intercepts.
A)
$a^2=36$, $b^2=13$
$\sqrt {36}=36$
$d=6$
B)
$a^2=4$, $b^2=4$
$4 = 4$
$sqrt 4=2$
$d=2$
C)
$a^2=25$, $b^2=16$
$25>16$
$5^2 > 4^2$
$\sqrt {5^2} > \sqrt {4^2}$
$5 > 4$
D)
$a^2=25$, $b^2=39$
$\sqrt {25}=5$
$d=5$
E)
$a^2=17$, $b^2=18$
$\sqrt {17} < \sqrt {18}$
$4.123 < 4.243$
$d=4.243$
F)
$a^2=36$, $b^2=36$
$\sqrt {36}=6$
$d=6$
G)
$a^2=16$, $b^2=65$
$sqrt {16} =4$
$d=4$
H)
$a^2=144$, $b^2=140$
$144 > 140$
$\sqrt {144}=d$
$d=12$
