Answer:
y=4x-5
Step-by-step explanation:
8x-2y=10
-8
-2y=-8x+10
-2= -2 -2
y=4x-5
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:
y = - 3
Step-by-step explanation:
Given the 2 equations
6x + 11y = - 3 → (1)
4x + y = = 17 → (2)
Multiplying (1) by 4 and (2) by - 6, then adding will eliminate the term in x
24x + 44y = - 12 → (3)
- 24x - 6y = - 102 → (4)
add (3) and (4) term by term to eliminate x
0 + 38y = - 114
38y = - 114 ( divide both sides by 38 )
y = - 3
6^2 + 10 divide by (-5) (3) - 5
evaluate 6 squared
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