Answer:
Step-by-step explanation:
1) x² - 8x + 5 = 0
2) No subtract 5 from both sides
x² - 8x + 5 - 5 = 0 - 5
x² - 8x = -5
3) Now find (8/2) = 4. Add 4² = 16 to both sides
x² - 8x + 16 = -5 + 16
x² - 8x + 16 = 11
4) (x - 4)² = 11
5) Take square root both sides
x - 4 = ±√11
x = 4 ±√11
Answer:
1) 270 degrees
2) pi/4 rad
Step-by-step explanation:
1.) For which value of theta is sine theta = negative 1?
Given
sintheta = -1
theta = arcsin(-1)
theta = -90degrees
Since sin is negative in the third and 4th quadrant
In the third quadrant, theta = 180 + 90 = 270degrees
In the fourth quadrant, theta = 360 - 90 = 270 degrees
Hence the required value of theta is 270degrees
2) Given the radius of the circle to be 1, the y axis value will also be 1 units
Opposite = 1
adjacent = 1
hyp = √1²+1²
hyp = √2
sin theta = opp/hyp
sin theta = 1/√2
theta = arccsin(1/√2)
theta = 45 degrees
Express in radians
45 degrees = pi/4 radians
Hence the required angle in the first quadrant is pi/4 rad
Answer:
A
Step-by-step explanation:
x = 0
y = -3
if you are in debt for -15 dollars in your bank account you add 10 dollars then you are-5 dollars in your bank account
B is the correct answer. find the total for the soap and the total for the shampoo and conditioner, add those together then add tax.