Answer:
A
Step-by-step explanation:
In the figure attached, the complete question is shown.
We have to transform all the fractions to new fractions with the same denominator, as follows:
1/8 *4/4 = 4/32
-3/16 *2/2 = -6/32
-1/4 *8/8 = -8/32
1/32
5/32
-1/16 *2/2 = -2/32
Now we can order the list simply comparing numerators:
-8/32, -6/32, -2/32, 1/32, 4/32, 5/32
or
-1/4, -3/16, -1/16, 1/32, 1/8, 5/32
Given:
The coordinates of point A are (7,4).
It is dilated from the origin by a scale factor r = 3.
To find:
The coordinates of A'.
Solution:
If a figure is dilated from the origin by a scale factor k, then
Here, the figure is dilated from the origin by a scale factor 3, so the rule of dilation is given by:
Using this rule, we get
Therefore, the coordinates of point A' are (21,12).
Answer:
y = - x
Step-by-step explanation:
the equation of a linear function in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 8, 2) and (x₂, y₂ ) = (1, - 4) ← 2 ordered pairs from the table
m = =
=
= -
the ordered pair (0, 0 ) indicates the line crosses through the origin, then
c = 0
y = - x + 0 , that is
y = - x ← equation of linear function
The decimal representation of any number is a linear combination of powers of 10. In other words, given a number like 123.456, we can expand it as
for any
, so the above is the same as
Similarly, we can write
Now it's a question of reducing the fraction as much as possible. We have so