Answer: The coordinate of L is 4.
Step-by-step explanation:
Let's say you were to plot the point on a number line and find the distance between P and G.
P is -6 on the number and G is 18 on the number so to find the distance between them we will need to find the different between the number and find its absolute value.
-6- 18 = -24 and the absolute value of -24 is 24.
In other words to get from -6 to 18 on the number line you need to move 24 units to the right.
Now to answer the question, we know that the distance between the two numbers is 24 and and it says that L is 1/6 of the distance.
We can represent that by the equation,
L = 
L = 4
1. It is fairly tedious to use construction techniques on paper to rotate a figure 90°, and somewhat error-prone to use a protractor. So, the attached makes use of a geometry program to rotate the parallel lines. In each case, XE is rotated to X'E.
d) You notice the resulting lines A'B' and C'D' are both perpendicular to the original AB and CD and are parallel to each other. They are the same distance apart that they were. (Rotation does not change distances or angles.)
2.
a) ∠ABC is supplementary to ∠CBD, so has measure 180°-50° = 130°.
b) ∠EBD is a vertical angle to ∠ABC, so has the same measure, 130°.
c) ∠ABE is a vertical angle to ∠DBC, so has the same measure, 50°.
Answer:
dP/dt = 650t = 650(2 ) = 1,300 people/year
The rate of increasing of population at the end of the year 1992 is 1,300 people/year
Step-by-step explanation:
Given;
Population function as;
P(t) =325 t^2 + 28547
The rate of change of the population dP/dt at any given time can be given as;
Rate = change in population/change in time = dP/dt
dP/dt = 2×325t = 650t
Therefore, after 1992;
t = 1992-1990 = 2years
dP/dt = 650t = 650(2 ) = 1,300 people/year
The rate of increasing of population at the end of the year 1992 is 1,300 people/year
