Answer:
Yep. Those are 5 (-4)'s.
Step-by-step explanation:
notice, all you do is, move the factor from the bottom to the top, or from the top to the bottom, and the sign changes, from negative to positive or the other way around, is all there's on that
Answer:
y=-4/3x-9
=
−
4
3
x
−
9
Step-by-step explanation:
First we need to get the slope of the perpendicular line
The slope of a perpendicular line is equal to the negative inverse of the slope of the given line
y
=
m
x
+
b
y
=
3
4
x
−
2
⇒
m
=
3
4
m
'
=
−
1
m
⇒
m
'
=
−
1
3
4
⇒
m
'
=
−
4
3
Now that we have the slope, we need to find the y-intercept.
To find the y-intercept, we need to plug-in values of
x
and
y
that the line passes through
y
'
=
m
'
x
'
+
b
⇒
y
'
=
−
4
3
x
'
+
b
⇒
7
=
−
4
3
(
−
12
)
+
b
⇒
7
=
16
+
b
⇒
b
=
−
9
Therefore, the equation of the line is
y
=
−
4
3
x
−
9
For a regular tessellation, the shapes can be duplicated infinitely to fill a plane such that there is no gap. The only shapes that can form regular tessellations are equilateral traingle(all sides are equal. This means that it can be turned to any side and it would remain the same), square and regular hexagon. Looking at the given options, we have
Shape Tessellate?
Octagon No
Hexagon Yes
Pentagon No
Square Yes
Triangle No(unless it is specified that it is an equilateral triangle)
