Answer:
A = 3, B = 10
Step-by-step explanation:

= 
=
×
× 
= 3i
in the form Ai
with A = 3 and B = 10
Answer:
35/4 minutes per mile
Step-by-step explanation:
rate = time/distance, therefore the answer is 35/4
Answer:
b = ⅓
x = ½, -1/7
Step-by-step explanation:
(b−5)x² − (b−2)x + b = 0
(b - 5)(0.5)² - (b - 2)(0.5) + b = 0
0.25b - 1.25 - 0.5b + 1 + b = 0
0.75b = 0.25
b = ⅓
(⅓−5)x² − (⅓−2)x + ⅓ = 0
(-14/3)x² + (5/3)x + 1/3 = 0
14x² - 5x - 1 = 0
14x² - 7x + 2x - 1 = 0
7x(2x - 1) + (2x - 1) = 0
(7x + 1)(2x - 1) = 0
x = 0.5, -1/7
Answer:
Distance traveled 17.5 kilometers
Step-by-step explanation:
We can use the following equation to find the distance traveled,
Distance traveled = Speed * Time
First we need to find the total time he walked = 2.30 p.m. - 11.a.m.
=
hours
Now we can substitute the values to the equation,
Distance traveled =
kilometers per hour *
hours
=
kilometers
= 17.5 kilometers
Since
and
, we can rewrite the right side of the equation as

Using the identity
, we can subtract
from either side to obtain the identity 
substituting that into our previous expression, the right side of our equation simply becomes

We can now write our whole equation as

Adding 2 to both sides:

dividing both sides by 3:


When 0 ≤ x ≤ π, tan x can only be equal to 1 when sin x = cos x, which happens at x = π/4, and it can only be equal to -1 when -sin x = cos x, which happens at x = 3π/4