The equal length of the logs will be 200 feets each.
Since the lengths in feet of three pieces of timber are 144, 216, 240 and the operator wants to cut them into 3 equal sizea, this will go thus:
= (144 + 216 + 240) / 3
= 600/3
= 200 feets each
Therefore, there'll be an equal length of 200 feets each.
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Answer:
x-int: 2
y-int: -2
Step-by-step explanation:
x-int is where the line crosses the x axis (horizontal line) and y-int is where the line crosses the y axis (vertical line).
Answer:
The value of x at this instant is 3.
Step-by-step explanation:
Let
, we get an additional equation by implicit differentiation:
(1)
From the first equation we find that:
(2)
By applying (2) in (1), we get the resulting expression:
(3)

If we know that
and
, then the first derivative of x in time is:

From (1) we determine the value of x at this instant:




The value of x at this instant is 3.
Let
x--------------> total volume of a glass
we know that
(4/7)x-70=(2/4)x------------> (4/7)x-70=(1/2)x--------> 2*(4/7)x-2*70=x
(8/7)x-140=x
<span>multiplied by 7 the expresion
</span>7*(8/7)x-7*140=7*x-----------> 8x-980=7x--------> x=980 cm³
the answer is
<span>the total volume of the glass is 980 cm</span>³
Line 1 and Line 4 are parallel lines
Solution:
General equation of a line:
y = mx + c
where m is the slope and c is the y-intercept of the line.
<u>To find the slope of each line:</u>
Line 1: 
Slope 
Line 2: 

Add 7 on both sides, we get

Slope 
Line 3: 
Slope 
Line 4: 
Subtract x from both sides, we get

Multiply by
on both sides, we get

Slope 
<em>Two lines are parallel, if their slopes are equal.</em>
From the above slopes,

Therefore Line 1 and Line 4 are parallel lines.