Where's the net. We need the net to answer the question
Answer:
56
Step-by-step explanation:
You'll need to use differentiation (specifically, implicit differentiation) here.
If x^2 = 4(y+6), differentiating both sides with respect to time t produces the following:
2x (dx/dt) = 4([dy/dt]) (note that (d/dt) 6 = 0)
We need to solve for (dx/dt). Substitute 8 for x (y does not appear in this latest equation, so we do nothing with y=10). Substitute the given 5 units/sec for dy/dt:
2(8)(dx/dt) = 4(5)(units/sec)
Solving for dx/dt, dx/dt = [20 units/sec]/16, or 5/4 units/sec, or 1.25 units/sec.
In analytical geometry, we can find the linear distance between two parallel lines by determining the coefficients of the variables and the constants. The general equation for a linear equation is: Ax + By = C.
Line 1: 2x - 3y = -4
Line 2: 2x - 3y = -15
In this case, A=2 and B=-3. The constants are C₁ = -4 and C₂ = -15. The distance follows this formula:
d = |C₁ - C₂|/(√(A²+B²)
d = |⁻4 - ⁻15|/(√(2²+⁻3²)
d = 3.051 units
1. You will need 3 packs of tulips and 2 packs of geraniums.
2. You should have 18 flowers of each kind
Explanation:
1. To find the number of packets, the easiest way (in my opinion) would be to find the LCM (least common multiple)
To do so, first, you would need to list the factors of 6 and 9 in order
6: 6 12 18 24 30
9: 9 18 27 36 45
Then, you can find the LCM by finding the same number that comes first in each list (18)
2. To find how many packets, all you have to do is divide 18 by 6 and 18 by 9 because there are 6 flowers in one packet, and 9 flowers in the other.
Hope this helps!
