Answer:
1/3, 
, π, 
, 8
Step-by-step explanation:
Simplifying or rounding complicated numbers to integers can help us order them.
- Integer - an integer is any whole number, including zero, that can be negative or positive.
Simplifying Numbers
Numbers like 1/3 and 8 don't need to be simplified because they are commonly used and understood.
Both 4 and 16 are perfect squares. So, to simplify these numbers we can just solve.
- = 2
- = 4
There is no way to "solve" pi, but we can round it to an easier number. Technically, pi is irrational, so there is no way to write out the whole number. However, in this case, we can just round to the nearest whole number.
This means, in the order they appear, the simplified numbers are 2, 8, 4, 1/3, and 3.
Ordering the Numbers
From this point, they should be easy to order.
- 1/3 is the smallest because it is the only number less than 1.
- is next because it is equal to 2
- π is third since it is only slightly above 3
- is fourth since it is equal to 4
- 8 is the largest number on the list.
Coplanar planes and point lines
Answer: y = -2x - 5
Step-by-step explanation:
The condition for parallelism is that m1 = m2 ie, the gradient of the two lines must be equal.
from the equation given,
y = -2x + 8, m1 = -2, therefore m2 = -2. Since the two line passes through the coordinate of (-1, -3 ) , we substitute for x and y in the equation of a line
y = mx + c to get the value of , the y - intersect.
-3 = -2 x -1 + c
-3 = 2 + c
solve for c
c = -3 - 2
c = -5.
now , to have the equation of the line , we put c = -7 into the equation
y = mx + c
y = -2x - 5
Therefore the equation of the line parallel to the line
y = -2x + 8 is
y = -2x - 7
The result concluded is equivalent to a single rotation transformation of the original object.
<h3>Explanation of how reflection across axis works?</h3>
When a graph is reflected along an axis, say x-axis, then that leads the graph to go just on the opposite side of the axis as if we're seeing it in a mirror.
The Compositions of Reflections Over Intersecting Lines states that if we perform a composition of two reflections over two lines that intersect.
The result concluded is equivalent to a single rotation transformation of the original object.
Learn more about reflection;
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