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Given that:
James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3 .
To find:
The equation that can be used to solve for zach's age.
Solution:
Let the age of zach be Z.
Zach added 8 to his age = Z+8
And multiplied this sum by 3 = 3(Z+8)
James is 6 times older than his friend Zach = 6Z
Now,



Divide both sides by 3.

Therefore, the required equation is
is age of zach is 8 years.
Answer:
or
.
Step-by-step explanation:
How are tangents and secants related to sines and cosines?
.
.
Sticking to either cosine or sine might help simplify the calculation. By the Pythagorean Theorem,
. Therefore, for the square of tangents,
.
This equation will thus become:
.
To simplify the calculations, replace all
with another variable. For example, let
. Keep in mind that
.
.
.
Solve this equation for
:
.
.
.
Given that
,
is the only possible solution.
,
, where
(i.e.,
is an integer.)
Given that
,
.
or
. Accordingly,
or
.
Answer:
Step-by-step explanation:
The domain of this relation (not a function) is x = -5. The relation is not defined for any other x value.
Answer: -11y - 35x
Step-by-step explanation:
This problem utilizes the Distributive Property of Multiplication. It states that: a(x + y) = ax + ay.
Thus, utilizing this property (distributing -7), change the equation into:
3y - 35x - 14y
Then, simply combine like terms to get:
-11y - 35x
Hope it helps :) and let me know if you want me to elaborate.