Answer:
Step-by-step explanation:
2b^2 - 3b + 4a^2........a =-6 and b = 8
now we sub
2(8^2) - 3(8) + 4(-6^2)
2(64) - 24 + 4(36)
128 - 24 + 144
272 - 24
248 <==
Answer:
24 muffins, each friend gets 4. There are 4 remaining
Step-by-step explanation:
Answer:
2 yrs
Step-by-step explanation:
SI =PTR/100
738=8200 x T x 4.5 /100
738 x 100 / 8200 x 4.5 = T
T =2

Solve the second equation for y

Substitute the given value of y into the first equation

Solve the equation for x

Substitute the given value of x into the second equation

Solve the equation for y

The possible solution of the system is the ordered pair (x,y)

Answer:
Step-by-step explanation:
Begin by squaring both sides to get rid of the radical. Doing that gives you:

Now use the Pythagorean identity that says
and make the replacement:
. Now move everything over to one side of the equals sign and set it equal to 0 so you can factor:
and then simplify to

Factor out the common cos(x) to get
and there you have your 2 trig equations:
cos(x) = 0 and 1 - cos(x) = 0
The first one is easy enough to solve. Look on the unit circle and see where, one time around, where the cos of an angle is equal to 0. That occurs at

The second equation simplifies to
cos(x) = 1
Again, look to the unit circle and find where the cos of an angle is equal to 1. That occurs at π only.
So, in the end, your 3 solutions are
