Answer:
Step-by-step explanation:
The point-slope form of a line is given as:
Where
m is the slope
is the x-coordinate of the point given (passing through the line)
is the y-coordinate of the point given (passing through the line)
Now,
Given,
Slope = m = 3
= 1
= 2
Now, we simply plug these into the formula for point-slope form of a line:
This is the point-slope form.
A = (1/2)bh [b = 10 m, h = 6 m]
A = (1/2) * 10 * 6 = 30 m²
By definition, if two lines share the same gradient, they are said to be parallel. So, we know for this equation, it must have a gradient of 1/2.
Now, since the point (-6, 4) passes through the line, we know it must satisfy the equation. Since we have a gradient/slope and a point, we can use the point-gradient form:
, where
represents the points being passed through.
Answer:
x
8
−
256
Rewrite
x
8
as
(
x
4
)
2
.
(
x
4
)
2
−
256
Rewrite
256
as
16
2
.
(
x
4
)
2
−
16
2
Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
x
4
and
b
=
16
.
(
x
4
+
16
)
(
x
4
−
16
)
Simplify.
Tap for more steps...
(
x
4
+
16
)
(
x
2
+
4
)
(
x
+
2
)
(
x
−
2
)
Step-by-step explanation:
