Answer:
The unit rate is 32/25 Walls per gallons.
Step-by-step explanation:
Gallons of paint used by Martin = 5/8 gallons
Portion of wall Martin wants to paint in pints = 4/5 wall.
Rate at which Martin paints the wall: Rate = Portion of wall covered/Paints Used.
Rate = 4/5 Gallons/5/8 Gallons = 32/25 Wall Gallons.
The tan(-x) is the same thing as -tan(x). The tangent function is also the same thing as sin(x)/cos(x), right? So let's rewrite that tan in terms of sin and cos:
is the same as
We can now cancel out the cos(x), which leaves us only with -sin(x) remaining. So your answer is A.
Answer:
x = - 1 ± 2i
Step-by-step explanation:
we can use the discriminant b² - 4ac to determine the nature of the roots
• If b² - 4ac > , roots are real and distinct
• If b² - 4ac = 0, roots are real and equal
• If b² - ac < 0, roots are not real
for x² + 2x + 5 = 0
with a = 1, b = 2 and c = 5, then
b² - 4ac = 2² - (4 × 1 × 5 ) = 4 - 20 = - 16
since b² - 4ac < 0 there are 2 complex roots
using the quadratic formula to calculate the roots
x = ( - 2 ± ) / 2
= (- 2 ± 4i ) / 2 = - 1 ± 2i
5 because the highest power= degree of the function