x should equal -2 and y should equal -3 to solve this i multiplied the first equation by 2 then got rid of the 4y and -4y then i added the 14x to the 9 equaling 23x and added the -40 to the -6 which became 23x=-46 i solved this getting -s for x, then i plugged that into the equations to get y which was -3
It is A. 2^12.
The question asks for the value of 8 to the x-power. Divided by 2 to the y-power. the trick to solving this is to rewrite 8^x as 2^3x. so you will have 2^3x divided by 2^y. since the bases are now the same , you can subtract the exponents to get the result of 2^3x-y. since it is given the 3x-y is 12. your final answer is 2^12
Answer:
he is 11 years old
Step-by-step explanation:
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
.