51 if you need an explanation I can give that to you
Answer:
The standard form of the line is 10x + 3y = 10
Step-by-step explanation:
First we need to find the slope of the equation, which we can do using the slope equation and the two points given: (3, 0) and (0, 10)
m(slope) = (y2 - y1)/(x2 - x1)
m = (10 - 0)/(0 -3)
m = 10/-3
Now we can write the equation in slope intercept form since we have the slope and the intercept.
y = mx + b
y = -10/3x + 10
Now we can manipulate the equation to get the standard form.
y = -10/3x + 10
10/3x + y = 10
10x + 3y = 30
Let's say that Sagan's age is x and Orion is x + 6 (since Sagan is younger by 6 years).
We know that Orion's age + Sagan's age is 24, so x + x + 6 is 24
2x = 18
x = 9
That means that Sagan is 9, and Orion is 9+6 or 15.
The formula for the area of a parallelogram is
A=b*h where b=base and h=height
if the base were to increase by 3times and the height were to increase by 2 times then
6A=b*h
The area of the parallelogram would be 6 times larger
So if the original area was 47units², then the new area would be
47*6=282units²
Answer=282units²