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.
Answer:
2 3/5
Step-by-step explanation:
Simply change the 1st fraction into improper form:
17/5 - 4/5
Then subtract
13/5
Then write into mixed fraction
2 3/5
Answer:
D. The y-intercept of the new graph would shift down 2 units.
Step-by-step explanation:
y = -9x + 3 has a y-intercept of 3 (0, 3).
y = -9x + 1 has a y-intercept of 1 (0, 1).
3 - 1 = 2
So, down two units.
Answer:
x > 4
Step-by-step explanation:
Given
2(x + 6) < 3x + 8 ← distribute left side
2x + 12 < 3x + 8 ( subtract 3x from both sides )
- x + 12 < 8 ( subtract 12 from both sides )
- x < - 4
Multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity.
x > 4
Step-by-step explanation:
The product of <em>a</em> and <em>b</em> is equal to <em>a · b.</em>
Let <em>w - width</em> and <em>l - length</em>, then the product of the width and the lenght is
<em>w · h = wh</em>
