Answer:
Step-by-step explanation:
If a point (x, y) lies on a straight line, coordinates of the point will satisfy the equation.
Slope of a line passing through two points C(4, 5) and D(8, 10),
m = 
m = 
m = 
Equation of the line passing through C(4, 5) and slope m =
y - y' = m(x - x')
y - 5 = 
y = 
y = 
If point B(4, 0) lies on the line CD,
0 = 
0 = 5
Which is not true.
Therefore, point B doesn't lie on line CD.
Answer: 6 students
Step-by-step explanation:
The teacher wants to give each student 2/3 of a slice of pizza but only has 4 slices to give.
If each student gets 2/3 out of 4 slices, the number of students receiving will be:
= Slices / proportion per slice
= 4 / 2/3
= 4 * 3/2
= 12/2
= 6 students
Answer: 4 years
Step-by-step explanation:
A(0) has to be amount at start. Assume that's 5mg
Then A(t) = 5×(0.5)^(0.25t) = 5×2^(-t/4),
(also known as 5 exp(-λ t) with λ = ln(2)/4, incidentally).
We need to such that A(t) = 2.5mg, or 2^(-t/4) is 1/2, which happens when -t/4 is -1, or t is 4.
Answer: 29 feet.
Step-by-step explanation: The formula for the circumference of a circle is C = π d. In order to calculate the diameter of the tree we will use the same formula and solve for d.
91 = 3.14 x d
In order to solve for d you need to divide both sides for 3.14:
D = 28.98, rounded to the nearest foot is 29 feet.
In short, the set formed by the negative integers, the number zero and the positive integers (or natural numbers) is called the set of integers. Integer is also known as a whole number.
