Answer:
x² + (y + 8)² = 81
Step-by-step explanation:
Centre (h,k) = (0,-8)
radius (r) = 9
(x - h)² + (y - k)² = r²
(x - 0)² + (y + 8)² = 9²
x² + (y + 8)² = 81
Answer:
The coordinates of
are
and
.
Step-by-step explanation:
Let be
and
endpoints of segment AB and
a point located 7/10 the way from A to B. Vectorially, we get this formula:


By Linear Algebra we get the location of
:



If we know that
and
, then:




The coordinates of
are
and
.
Answer:
Asset B generate most benefit.
Step-by-step explanation:
Correlation shows the strength of relation between two variables.
Greater the correlation coefficient greater the strength between two variables.
Since here It is given that Correlation Coefficient between risk reduction and Asset B is higher (i.e. 60%) than the Correlation Coefficient between risk reduction and Asset A (i.e. 40%).
Thus, Asset B generate most benefit.
Answer:
Mary should buy 6 bags
Step-by-step explanation:
To find the answer multiply
by 15

So 6 Ib of trail mix will be perfect for the whole group
Answer:
19
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 3 and d = 4 , thus
a₅ = 3 + (4 × 4) = 3 + 16 = 19