Answer:
3y = -6x - 15
Step-by-step explanation:
To put 6x + 3y = -15 into Slope Intercept Form you need to know the formula (y = mx + b) so we know we need to get y on its own side so we can -6x from both side giving us 3y = -6x +-15 or 3y = -6x - 15 There are many different slope intercept forms for this equation depending on how you get y by its self!
Write the left side of the given expression as N/D, where
N = sinA - sin3A + sin5A - sin7A
D = cosA - cos3A - cos5A + cos7A
Therefore we want to show that N/D = cot2A.
We shall use these identities:
sin x - sin y = 2cos((x+y)/2)*sin((x-y)/2)
cos x - cos y = -2sin((x+y)/2)*sin((x-y)2)
N = -(sin7A - sinA) + sin5A - sin3A
= -2cos4A*sin3A + 2cos4A*sinA
= 2cos4A(sinA - sin3A)
= 2cos4A*2cos(2A)sin(-A)
= -4cos4A*cos2A*sinA
D = cos7A + cosA - (cos5A + cos3A)
= 2cos4A*cos3A - 2cos4A*cosA
= 2cos4A(cos3A - cosA)
= 2cos4A*(-2)sin2A*sinA
= -4cos4A*sin2A*sinA
Therefore
N/D = [-4cos4A*cos2A*sinA]/[-4cos4A*sin2A*sinA]
= cos2A/sin2A
= cot2A
This verifies the identity.
Answer:22.36 mi/hr
Step-by-step explanation:
Given
water in a river moves south at 
motorboat travels due to east at a speed of 
Velocity of boat relative to the moving water 
Magnitude of 
with the x axis.
Answer:
Step-by-step explanation:
For this equation: a=3, b=4, c=2
3x2+4x+2=0
Step 1: Use quadratic formula with a=3, b=4, c=2.
x= −b±√b2−4ac / 2a
x= −(4)±√(4)2−4(3)(2) / 2(3)
x= −4±√−8 / 6
Answer:
No real solutions.
<u>Answer:</u>
3%
<u>Step-by-step explanation:</u>
We are given the data of number of cars observed waiting in line at the beginning of 2 minute intervals between 3 and 5 p.m. on Friday.
We are to find the probability (in percent) that there is no one in line.
Sum of frequencies = 2 + 9 + 16 + 12 + 8 + 6 + 4 + 2 + 1 = 60
Frequency of no car in line = 2
P (no car in line) = 2 / 60 × 100 = 3.3% ≈ 3%
