Step-by-step explanation:
We have to simplify the given expression:
1. 3x+2y-2x+23x+2y−2x+2
Combining the like terms,we get the second step as
2. (3x-2x)+(2y)+(2)(3x−2x)+(2y)+(2)
Now, taking 'x' common from the first two terms, we get third step as:
3. (3-2)x+2y+2(3−2)x+2y+2
Now, simplifying the expressions among the like terms, we get fourth step as:
4. x+2y+2x+2y+2
<h3>
Answer: $580.38 (Choice B)</h3>
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Work Shown:
A = P*(1+r/n)^(n*t)
A = 500*(1+0.05/4)^(4*3)
A = 580.3772588615
A = 580.38
A C and F those would be the correct answers girlie
Answer:
D(L)/dt = 407,6 m/s
Step-by-step explanation:
Let call A the intersection point.
As the cars are driving from perpendicular directions, they form with a coordinates x and y, a right triangle, and distance between them is the hypotenuse (L), then
L² = x² + y²
Taking derivatives with respect to time we have:
2*L* D(L)/dt = 2*x *D(x)/dt + 2*y* D(y)/dt (1)
In this equation we know: At a certain time
x = 444 m and D(x)/dt = 10 m/s
y = 333 m and D(y)/dt = 666 m/s
And L = √(x)² + (y)² ⇒ L = √ (444)² +( 333)² ⇒ L = √197136 + 110889
L = √308025
L = 555 m
Thn plugin these values in euatn (1) we get
2* 555 * D(L)/dt (m) = 2* 444* 10 + 2*333*666 (m*m/s)
D(L)/dt = ( 4440 + 221778)/555 (m/s)
D(L)/dt = 407,6 m/s
