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
Answer:
a is -11x+3x
b is -48/13
c is -2(x-1)
Step-by-step explanation:
hope this helps!
Answer:
if u want secret multip;icaztion word puzzels go here: https://www.google.com/search?client=firefox-b-1-d&q=secret+multiplication+word+puzzle
Step-by-step explanation:
Remember, you can do anything to an equation as long as you do it to both sides
4+x-17=22
add like terms
x+4-17=22
x-13=22
add 13 to both sides
x+13-13=22+13
x+0=35
x=35
Convert what is inside the parenthesis to sixths.
(3/6+2/6-1/6)^3+2/3x4/5
(4/6)^3+2/3x4/5
(2/3)^3+12/15
8/27+12/15
(8x12/27x15)
96/405
32/135
Don't know if that's right though