Answer:
5
Step-by-step explanation:
<u>Given</u>:
A = (a, 14-a)
P = (3a, a^2 +13a -11)
the slope of AP is 7
a > 0
<u>Find</u>:
a
<u>Solution</u>:
The slope of AP is ...
m = (Py -Ay)/(Px -Ax)
7 = (a^2 +13a -11 -(14 -a))/(3a -a)
14a = a^2 +14a -25
25 = a^2
a = √25 = 5 . . . . . the positive solution
The value of 'a' is 5.
_____
<em>Check</em>
The point A is (a, 14-a) = (5, 9).
The point P is (3a, a^2 +13a -11) = (15, 79)
The slope of AP is (79 -9)/(15 -5) = 70/10 = 7.
Answer:
Sofia is correct.
Step-by-step explanation:
Mark's statement depends on the starting point. He can be correct if they started at the 0 mile, but in this case we don't know where they started. They could had started at the 12 mile and their current position after the walking would be 16 miles.
On the other hand, Sofia's statement doesn't depend on where they started. She refers to how much they walked, not to where they are after the walking. Since they stopped after 4 non-stopping miles, their displacement was exactly 4 miles. So Sofia is correct.
Answer:
288 gallons ÷ 6 miles = 48 miles per gallon
48 miles per gallon • 7 miles = 366 miles
Step-by-step explanation:
Let's assume initial population is in 1999
so, production of passenger cars in Japan is 3.94 million in 1999
so, P=3.94 million
and the production of passenger cars in Japan is 6.74 million in 2009
so, A=6.74 million in t=2009-1999=10 years
now, we can use formula
here , r is interest rate
so, we can plug values
now, we can solve for
so,
the geometric mean annual percent increase is 5.516%............Answer
