Answer:
Step-by-step explanation:
2a^-a-13=2
Subtract 2 from both sides :
2a^2-a-13=2=2-2
2a^2-a-15=0
Factor left side of the equation :
(2a+5) (a-3)=0
Set factors equal to 0 :
2a+5=0 or a-3=0
a=-5/2 or a=3
Answer:40,000
Step-by-step explanation: if the last 4 digits are 5,000 or grater round up to the next number if it’s less keep the number the same
Answer:
decreasing at 390 miles per hour
Step-by-step explanation:
Airplane A's distance in miles to the airport can be written as ...
a = 30 -250t . . . . . where t is in hours
Likewise, airplane B's distance to the airport can be written as ...
b = 40 -300t
The distance (d) between the airplanes can be found using the Pythagorean theorem:
d^2 = a^2 + b^2
Differentiating with respect to time, we have ...
2d·d' = 2a·a' +2b·b'
d' = (a·a' +b·b')/d
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To find a numerical value of this, we need to find the values of its variables at t=0.
a = 30 -250·0 = 30
a' = -250
b = 40 -300·0 = 40
b' = -300
d = √(a²+b²) = √(900+1600) = 50
Then ...
d' = (30(-250) +40(-300))/50 = -19500/50 = -390
The distance between the airplanes is decreasing at 390 miles per hour.
Answer:
b . 6 is the length of the hypotenuse
