Given:
44 cu. cm of wire is drawn into a wire of diameter 2 mm.
To find:
The length of the wire.
Solution:
We know that,
1 cm = 10 mm
1 cu. cm = 1000 cu. mm
We have, a wire of cylindrical shape.
Volume of the wire = 44 cu. cm
= 44000 cu. mm
Radius of the wire = 2 mm
Volume of a cylinder is:
Where, r is the radius and h is the height.
Putting V=44000, and r=2, we get
Divide both sides by 4.
Therefore, the length of the wire is 3500 mm or 350 cm.
Answer (<u>assuming it can be written in slope-intercept form)</u>:
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula, . Substitute the x and y values of the given points into the formula and solve:
So, the slope is .
2) Now, use the point-slope formula to write the equation of the line. Substitute , , and for real values.
Since represents the slope, substitute for it. Since and represent the x and y values of one point the line intersects, choose from any one of the given points (it doesn't matter which one, either way the result equals the same thing) and substitute its x and y values into the formula as well. (I chose (4,5), as seen below.) From there, isolate y to place the equation in slope-intercept form ( format) and find the following answer:
Answer:
Place a dot on 7 and do < underlined