Answer:
4x - 5y + 30 = 0
Step-by-step explanation:
When a slope of a line and a point passing through it is given then we use slope - one point form to determine the equation of the line.
It is given by:
where is the slope of the line and
is the point passing through it.
Here and .
Substituting in the equation we get
Whole numbers are the set of integers ranging from 0 - infinity. Natural numbers are the set of integers ranging from 1 - infinity. 0 is not a natural number but it is a whole number, so the second statement is false.
Let us assume that cost of each granola bar be $x and that of a cup of yogurt be $y
From person A's purchase, we get
12x + 7y = 15.5; equation A
And from person B's purchase,
6x + 11y = 11.5; equation B
Let us multiply equation B by 2 and subtracting equation A from it, we will get
12x + 22y - 12x - 7y = 23 - 15.5,
=> 15y = 7.5
or, y = 0.5
Substituting value of y in equation A, we can find x
12x + 7*0.5 = 15.5
=> x = (15.5 - 3.5)/12
or, x = 1
Therefore, cost of granola bar is $1, and that of yogurt is $0.5
Answer:
The ancient Babylonians calculated the area of a circle by taking 3 times the square of its radius, which gave a value of pi = 3. The first calculation of π was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world.