To determine if the given pair of lines are parallel, we are to calculate first for their slopes through the equation,
m = (y₂ - y₁) / (x₂ - x₁)
Rm (3, -4) and (1,1)
m = (1 --4) / (1 - 3) = -5/2
Rn (1,1) and (-5,16)
m = (16 - 1) / (-5 -1) = -5/2
Since the lines have the same slope, then they are parallel. The answer is true.
Answer:
-9
Step-by-step explanation:
-10 - (-1) = -9
Let x be -b/2a
x = -193/2•(-16)
x = -193/-32
x = 6.03125
Now, plug this value of x into every x in the function and simplify. The max is the y value.
Can you finish?
Answer:
2
Step-by-step explanation:
Answer:
86.8 m long
Step-by-step explanation:
A pole that is 2.5 m tall casts a shadow that is 1.34 m long. At the same time, a nearby building casts a shadow that is 46.5 m long. How tall is the building? Round to the nearest meter
We solve the above question using the Proportion formula:
Height of the pole/Shadow of the pole = Height of the building /Shadow of the building
Height of the pole = 2.5m
Shadow of the pole = 1.34 m
Height of the building = x
Shadow of the building = 46.5m
Hence:
2.5m/1.34m = x/46.5m
Cross Multiply
1.34m × x = 2.5m × 46.5m
x = 2.5m × 46.5m/1.34m
x = 86.753731343m
Approximately , The height of the building = 86.8 m