Answer:
{-14, 4}
Step-by-step explanation:
the absolute value function only makes sure that the result always has a positive sign.
so, (x + 5) must be either +9 or -9 to make the original equation true. the absolute value would turn both into +9.
so,
x + 5 = 9
x = 4
and
x + 5 = -9
x = -14
that gives us the correct set of solutions as indicated above.
Answer:
Step-by-step explanation:
lemon cakes:105
420-120=300
35% of 300:
35 divided by 100*300=105
Answer:
Part 1) The rate is 
Part 2) 
Step-by-step explanation:
Part 1)
we know that
A cyclist rides her bike at a rate of 12 meters per second
Remember that
1 hour=3,600 seconds
1 kilometer=1,000 meters
therefore
Part 2) How many kilometers will the cyclist travel in 3 hours?
using proportion
Answer:
Step-by-step explanation:
To solve this you need the Law of sines
- sin A / a = sin B / b = sin C / c
a, b, c are the sides opposite to angles A, B and C respectively
Applied to the given triangle we have one side given, the opposite angle to be found.
- sin 28 / x = sin (180 - 28 - 126) / 8.2
- sin 28 / x = sin 26 / 8.2
- x = 8.2 sin 28 / sin 26
- x = 8.8 (rounded)
Step-by-step explanation:
64^1/3 (64^1/3 - 16^2/3)
= 4^(3×1/3) {4^(3×1/3) - 4^(2×2/3)}
= 4(4 - 4^4/3)
= 16 - 4^(1+4/3)
= 16 - 4^(7/3)
= -9.3984
