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igor_vitrenko [27]
3 years ago
8

Identify an equation in point-slope form for the line perpendicular to y = 3x + 5

Mathematics
1 answer:
Licemer1 [7]3 years ago
6 0

Answer:

perp.: -1/3

y + 1 = -1/3(x - 4)

y + 3/3 = -1/3x + 4/3

y = -1/3x + 1/3

Step-by-step explanation:

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A rectangular window measures 54 inches by 24 inches. There is an a = 14-inch wiper blade attached by a b = 5-inch arm at the ce
nika2105 [10]
It the wiper blade (and arm) made a full rotation, 2 circles would be formed.

One small circle with radius b, and a larger circle with radius a+b.


The areas of these 2 circles are respectively:

\pi b^2=\pi\cdot 5^2=25 \pi (in^2)    and

\pi (a+b)^2=\pi (14+5)^2=361\pi (in^2)


120° is 1/3 of a complete angle 360° which form a circle, so the areas formed by the arm of length b, and the arm + the wiper blade (a+b) are:

\frac{25 \pi}{3} and \frac{361\pi}{3} in squared respectively.

the actual wiped area is \frac{361\pi}{3}-\frac{25 \pi}{3}= \frac{336\pi}{3}=112\pi \approx351.7 (in squared)


Area of the window is 54*24= 1296 (in squared)

thus, the ratio of the wiped area to the whole area of the window is 351.7/1296=0.271

Converted to percentages, this is 27.1%


Answer: 27.1%

3 0
3 years ago
Write the equation of the parabola in vertex form.vertex (0,2), point (1,-5)
charle [14.2K]
Y=a(x-h)^2+k
-5=a(1-0)^2+2
-5=a+2
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y=-3x^2+2
3 0
3 years ago
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Is 7/11 rational or irrational?
sattari [20]
The answers is Rational.  hope that helps


8 0
3 years ago
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-5(x+7)<10. What does x equal?
gulaghasi [49]

Answer:

X>-9

Step-by-step explanation:

Distribute

-5x-35<10

add 35 on both sides

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3 years ago
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never [62]

Answer:

5 2/5

Step-by-step explanation:

(2 1/4) / x = (1 1/2) / (3 3/5)

so

x = (2 1/4) * (3 3/5) / (1 1/2)

7 0
3 years ago
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