The two planes are flying on the two legs of a right triangle.
The straight distance between them is the hypotenuse of the triangle.
Since the speeds are in mph, let's work the time in hours.
Call the time 'H' that we're looking for.
It's the number of hours after they both take off that they're 650 miles apart.
After 'H' hours, the first plane has gone 500H miles north.
After 'H' hours, the second plane has gone 1200H miles east.
After 'H' hours, they are 650 miles apart.
Do you remember this for a right triangle ? ==> A² + B² = C²
(500H)² + (1200H)² = (650)²
250,000H² + 1,440,000H² = 422,500
1,690,000 H² = 422,500
H² = (422,500) / (1,690,000) = 0.25
H = √0.25 = 1/2 hour = 30 minutes
Answer:
y = -10.375x + 126.125
Step-by-step explanation:
(12-95)/(11-3) = -83/8 = -10.375
y = mx + b
12 = -10.375(11) + b
12 = -114.125 + b
b = 126.125
y = -10.375x + 126.125
Answer:
A-does not exist
Step-by-step explanation:
The pythagorian theorem :
- 12²+x²= (x-2)²
- 144+x²= x²-4x+4
- 144-4+x²-x²= -4x
- 140 = -4x
- x = 140/-4
- x= -35
That's absurd . A side cannot be negative since it's a distance
It was obvious from the beginning since one of the sides is greater than the hypotenus wich is impossible x≥x-2
The commutative property of addition means that when you see a problem, you change the order. The co in commutative means change order. That's what my teacher told me.
Answer:
0.321, 0.32...(Line means it is repeated), 2.52, 2.5...
