Answer:
SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.
The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4
The hypotenuse is 8inches longer than the shorter leg: c = a + 8
Use the Pythagorean Theorem:
a2 + b2 = c2
a2 + (a+4)2 = (a+8)2
a2 + a2 + 8a + 16 = a2 + 16a + 64
a2 - 8a - 48 = 0
Factors to:
(a-12)(a+4) = 0
a = 12, -4
Since we can't have a side of -4, a = 12
Shorter Leg = 12 inches
Longer Leg = 12 + 4 = 16 inches
Hypotenuse = 12 + 8 = 20 inches
Answer: after 1.8 hours, they would be 306 miles apart.
Step-by-step explanation:
Let t represent the time it will take for the two trains to be 306 miles apart. It means that after t hour, both trains would have covered a total of 306 miles.
Distance = speed × time
The eastbound train travels at 75 miles per hour. It means that the distance travelled by the eastbound train after t hours is 75t miles.
The westbound train travels at 95 miles per hour. It means that the distance travelled by the westbound train after t hours is 95t miles.
Since the total distance covered after t hours is 306 miles, it means that
75t + 95t = 306
170t = 306
t = 306/170
t = 1.8
Answer:
x≥ -5
Step-by-step explanation:
Answer:
-3/4
Step-by-step explanation:
rise/run
^^^you go up 3 and move left 4