3 years ago

4) Last week Kathryn ran 8.6 miles more

Mathematics

2 answers:

777dan777 [17]3 years ago

6 0

Jaidee Ran 13.7 Miles

d1i1m1o1n [39]3 years ago

6 0

Jadiee ran a total of 13.7 miles. 22.6 miles minute 8.6 miles equals 13.7 miles which is the amount of miles Jadiee ran.

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Find the vertices and foci of the hyperbola with equation (x-5)^2/81 -(y-1)^2/144 = 1

vesna_86 [32]

Given the equation of an hyperbola in the form:
$\frac{(x-a)^2}{b^2}- \frac{(y-c)^2}{d^2}=1$
Then the focus of the hyperbola is $(\pm\sqrt {b^2+d^2},0)$
Compute like this:
$\sqrt{81+144}=15$
So the two focus points are $(\pm15,0)$
The vertices are given by the formula: $(\pm a,0)$
We deduce the two vertices of the given hyperbola: $(\pm9,0)$
since $\sqrt{81}=9$