Answer:
-390 mph
Step-by-step explanation:
Let a and b represent, respectively, the distances of A and B from the airport. The distance d between the planes is then given by the Pythagorean theorem as ...
d² = a² + b²
Differentiating with respect to time, we have ...
2d·d' = 2a·a' +2b·b'
Solving for d', we get ...
d' = (a/d)a' +(b/d)b'
The value of d at the time of interest is ...
d = √(a² +b²) = √(30² +40²) = √2500 = 50
Then the rate of change of separation is ...
d' = (30/50)(-250 mph) +(40/50)(-300 mph) = (-150 -240) mph
d' = -390 mph
The distance between planes is decreasing at 390 miles per hour.
1 is the answer because it is
Ans: The base in the statement “16% of 98 is 15.68” is 98.
The three quantities in problems involving percent are Percent, Base, amount. ‘Percent’ has the percent (%) symbol. The base is the whole amount and the amount is the amount which comes after calculation the percent of the total amount.
So, in above problem, total amount i.e. Base is 98
Percent is 16%
And, the amount is 15.68.
<span>Moreover, the base in the statement comes after the word ‘of’ and in above statement, the digit after ‘of’ is 98.</span>
Ones place: 9
Tens place: 9
Hundreds place: 6
Thousands place: 4
Ten thousands place: 3
Which is 34,699
Now that we know 3 is in the ten thousand's place.
So then go from 3, and jump too 4. If the number is higher then 5, the 3 would become a 4. If the number is lower then 5, 4 would become a 0 and so will the rest of the number's too the right.
34,699 ---> 30,000
That being said, the answer is 30,000!
I hope this help's! :)
-LizzyIsTheQueen
Answer:
The slope intercept form: y = - 5x + 7
Step-by-step explanation:
The equation of line f is y − 9 = -5(x + 7)
You need to find the slope of line f
y - 9 = -5(x + 7)
In point slope form: y - y1 = m(x - x1) where m = slope
In the line f, slope m = -5
Parallel lines, slope is the same so slope of line g is also equal - 5
Line g passes through (3, - 8) so equation in point slope form:
y + 8 = -5(x - 3)
y + 8 = -5x + 15
y = -5x + 7 <-----this is slope intercept form
