Answer:
Slope is 3/2
Step-by-step explanation:
<u>Step 1: Solve for y</u>
3x - 2y = 30
3x - 2y - 3x = 30 - 3x
-2y/-2 = (-3x + 30)/-2
y = 3/2x - 15
Answer: Slope is 3/2
Answer:
y-intercept = 2
Step-by-step explanation:
slope, m = -12/8 (please check, post not clear)
P(6,-7)
equation of line using point-slope form
y-y1 = m(x-x1)
y-(-7) = -12/8 (x-6)
y = -3x/2 +9 -7
y = -3/2 + 2
y-intercept = 2
Answer:
Step-by-step explanation:
see pic below for quotient rule
Let us say that y = vertical height and z =
hypotenuse <span>
dz/dt = 600
dy/dt = 0 since y (altitude) is constant
sin(θ) = 2/3
Calculating for the angle: θ = arcsin(2/3) = 0.729728 radians
sin(θ) = y/z
z sin(θ) = y
<span>We then differentiate the two sides with respect to time t:
dz/dt sin(θ)+ z cos(θ) dθ/dt = dy/dt
(600) (2/3) + (3) cos (0.729728) dθ/dt = 0
400 + [3 / cos (0.729728) ] dθ/dt = 0
400+ 4.0249 dθ/dt = 0
dθ/dt = -98.38 radians/hour
= -99.38/60 radians / min
= -1.66 radians / min = 2PI - 1.66 radians / min
<span>= 4.62 radians / min (ANSWER)</span></span></span>
Answer:
676
Step-by-step explanation:
Divide the number of pencils by the number of boxes