Answer:
The required point is P(-7,
) where, x-coordinate twice the y-coordinate on line 2x - 6y = 7
Step-by-step explanation:
Given equation of line is 2x-6y=7
To find point on graph whose x-coordinate twice the y-coordinate:
Let y be y-coordinate of point
Hence, x-coordinate of point will be 2y
The required point is P(2y,y) on equation of line 2x-6y=7
Now,
2x-6y=7
2(2y)-6y=7
-2y=7
y=
Thus,
The required point is P(-7,
)
Note: Figure show equation of line red line and point P as blue dot.
1 is perpendicular bc it's the opposite reciprocal so Basically it's the original fraction upside down. 2 is parallel bc both fractions have the same slope but one is negative
<span>Let the price (before tax) be x.
The tax is 7% of x, so it is 0.07x.
The price plus the tax add up to $45.
x + 0.07x = 45</span>
Price of book in 1938 = $ 0.10
Price of book in 2011 = $ 2,161,000
Number of years over 1938-2011 = 2011 - 1938 = 73
Annual increase in the price = 
⇒ Annual increase in the price = 
⇒ Annual increase in the price = (1.260302283 - 1 ) × 100
⇒ Annual increase in the price = 0.260302283 × 100
⇒ Annual increase in the price = 26.0302283 %
⇒ Annual increase in the price = 26%
Hence, the comic book price increased by 26% annually
Answer:
The difference between their volumes is 
Step-by-step explanation:
The attachment completes the question.
For cube 1:

For cube 2:

Required
The difference in their volumes
First, we calculate the volume of box 1

Substitute 8 for s1


Next, we calculate the volume of box 2

Substitute 6.5 for s2


The difference is then calculated as:




Hence, the difference between their volumes is 