Answer:
y = -1/2x - 4
Step-by-step explanation:
First we wanna convert x + 2y = 14 into a slope-intercept equation.
x + 2y = 14
2y = 14 - x
y = 7 - x/2 or y = -1/2x + 7
Now that we have the line in slope-intercept form, we can solve for a line that is parallel to.
But first, what do parallel lines have in common? Parallel lines never intersect first of all and second they have the same slope so meaning we’re going to use -1/2 in order to find the equation of a parallel line so…
y = -1/2x + b
use the given point in the question
0 = -1/2(-8) + b
0 = 4 + b
b = 0 - 4
b = -4
The y-intercept of the line is -4
The equation of the line that passes through the point (-8, 0) and is parallel to the line x + 2y = 14 is y = -1/2x - 4
Answer:
a. 19x-13 b. 
Step-by-step explanation:
a. 3(-3+5x)-1(4-4x) = -9+15x-4+4x = 15x+4x-9-4 = 19x-13.
b. 
= 
Answer:
26in
Step-by-step explanation:
Volume of a cylinder = πr²h
Given
height h = 14in
Volume = 7433in³
Required
base d = 2r
r is the radius
get the radius r
7433 = 3.14 * 14r²
7433 = 43.96r²
r² = 7433/43.96
r² = 169.08
r = 13.00
Since the base d = 2r
d = 2(13)
d = 26in
Hence the base of the cylinder is 26in
On a graphing calculator, hit Math, Alpha, Math. Then input your logarithmic function. Hope this helped! Good luck :)