Ax + 32 = 6
- 32 = -32
---------------------
ax = -26
---- -----
a a
1x = -26
-----
a
x = -26
-----
a
a. 4 – commutative property
b. 5 – commutative property
c. 0 – identity property
d. 4 – associative property
_____
The commutative property lets you swap the order: (a) + (b) = (b) + (a).
The associative property lets you change the grouping: (a+b)+c = a+(b+c).
The identity property lets you add 0 without changing anything: (a) +0 = (a).
Answer:
x = 2 square roots of 2
Step-by-step explanation:
it is a 45-45-90 triangle and in that the two legs are equal to each other so both are 2 and then the hypotenuse is x times the square root of 2
Answer:
3
Step-by-step explanation:
We want to basically find all the points at which the line y = 3 intersects the given graph of g(x).
y = 3 is simply a straight horizontal line intersecting the y-axis at (0, 3). If we draw this line, we will see that it intersects g(x) at 3 different points. This indicates that there are 3 values of x where g(x) = 3.
Hope this helps!
f
'
(
x
)
=
1
(
x
+
1
)
2
Explanation:
differentiating from first principles
f
'
(
x
)
=
lim
h
→
0
f
(
x
+
h
)
−
f
(
x
)
h
f
'
(
x
)
=
lim
h
→
0
x
+
h
x
+
h
+
1
−
x
x
+
1
h
the aim now is to eliminate h from the denominator
f
'
(
x
)
=
lim
h
=0
(
x
+
h
)
(
x
+
1
)−
x
(
x
+
h
+
1)
h
(
x
+
1
)
(
x
+
h
+
1
)
f
'
(
x
)
=
lim
h
→
0
x
2
+
h
x
+
x
+
h
−
x
2
−
h
x
−
x
h
(
x
+
1
)
(
x+h
+
1
)
f
'
(
x
)
=
lim
h
→
0
h
1
h
1
(
x
+
1
)
(
x
+
h
+1
)
f
'
(
x
)
=
1
(
x
+
1
)
2
