Answer:
a - t = 2
Step-by-step explanation:
Find area of room
aera=legnth wtimes width
in a square, legnth=width
aera=legnth^2
legnth=14 feet
convert o inches
14*12=168 inches
area=168^2=28224 square inches
how many tiles will cover all of floor?
aka
how many 192 in^2 is at least 28224 (at least, because we need to cover the whole floor without gaps)
192x<u>></u>28224
divide both sides by 192
x<u>></u>147
147 is the number of tiles we need
Answer:
Lines 2 and 3 are parallel with slope (-2/3) and different y intercepts, and both are perpendicular to line 1 (-1) / (3/2) = (-2/3)
Step-by-step explanation:
Parallel lines have the same slope
Perpendicular lines have negative reciprocal slopes
line 1: 6x - 4y = 2
line 1: 4y = 6x - 2
line 1: y = (3/2)x - 0.5
line 2: y = (-2/3)x - 6
line 3:3y = -2x + 4
line 3: y = (-2/3)x + 4/3
(a)

or, via symmetry

____________
(b)
By the chain rule:

For polar coordinates, x = rcosθ and y = rsinθ. Since
<span>r = 3 + 2cosθ, it follows that

Differentiating with respect to theta

2/3 is the slope
____________
(c)
"</span><span>distance between the particle and the origin increases at a constant rate of 3 units per second" implies dr/dt = 3
A</span>ngle θ and r are related via <span>r = 3 + 2cosθ, so implicitly differentiating with respect to time
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