Please help answer number 4!
1 answer:
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<em><u>Question:</u></em>
What is an equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21
<em><u>Answer:</u></em>
<em><u>The equation of the line that passes through the point (3,6) and is parallel to the line 4x-3y=21 is:</u></em>
<em><u>Solution:</u></em>
Given that line passes through the point (3,6) and is parallel to the line 4x-3y=21
<em><u>The equation of line in slope intercept form is given as:</u></em>
y = mx + c ------- eqn 1
Where, "m" is the slope and "c" is the y intercept
<em><u>Given equation is:</u></em>
4x - 3y = 21
Rearrange,
3y = 4x - 21
On comparing above equation with eqn 1,
We know that slopes of parallel lines are same
Therefore, slope of line parallel to the line 4x - 3y = 21 is 4/3
<em><u>Substitute m = 4/3 and (x, y) = (3, 6) in eqn 1</u></em>
<em><u>Substitute c = 2 and m = 4/3 in eqn 1</u></em>
Thus the equation of line is found
b) The surface area is 564.5. Picture below.
4. Three possibilities.
Formula for volume of a cylinder: πr^2h
Formula for volume of sphere: 4/3πr^3
If the radius of the sphere is 1 inch than the volume is: 4.18879 or 4.19 rounded.
I used substitution on this website https://www.omnicalculator.com/math/volume
Just plug in the 4.18879 at the cylinder volume and put in a random number in the radius or height whichever you want then it'll give you the one you left blank. You'll find three possibilities for the radius and height of 4.18879 volume.
