The answer to this rests on knowing that there are four properties of multiplication (which your teacher will likely expect you to know...):
These are:
1. commutative
2. associative
3. multiplicative identity
4. distributive
I won't define each of these -- they should be in your notes or textbook. Look them up.
In this case, we are multiplying three terms together -- on the left hand side the parentheses mean to multiply a and b first, then multiply that by 3. On the right hand side, we multiply b times 3 first, and then multiply the product by a.
This would be an example of the associative property of multiplication: when three or more factors are multiplied together, the product is the same regardless of how the factors are grouped.
Hope this helps!
Good luck
Answer: sin(x) / cos(x)
Step-by-step explanation: This is just a trigonometric identity you should have memorized :)
Answer:
Step-by-step explanation:
slope-intercept equation for line of slope -5/2 and y-intercept -2:
y = (-5/2)x-2
put into standard form:
(5/2)x + y = -2
5x + 2y = -4
Answer:
y = 192
Step-by-step explanation:
Given y varies directly as z and inversely as x then the equation relating them is
y =
← k is the constant of variation
To find k use the condition y = 16 and z = 2 when x = 42
k =
=
= 336
y =
← equation of variation
When x = 14 and z = 8, then
y =
= 192