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Nina [5.8K]
4 years ago
8

-0.71x + 0.41x = 6.3 _x = 6.3

Mathematics
1 answer:
Zina [86]4 years ago
3 0
Add the two x’s to get -.3 then divided that by 6.3 and get -21
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The width of a rectangle is increasing at a rate of 2 cm/sec, while the length increases at 3 cm/sec. At what rate is the area i
lorasvet [3.4K]

Answer:

The area of the rectangle is increasing at a rate of  22\ cm^2/s.

Step-by-step explanation:

Given : The width of a rectangle is increasing at a rate of 2 cm/ sec. While the length increases at 3 cm/sec.

To find : At what rate is the area increasing when w = 4 cm and I = 5 cm?

Solution :

The area of the rectangle with length 'l' and width 'w' is given by  A=l w

Derivative w.r.t  't',

\frac{dA}{dt}=w\frac{dl}{dt}+l\frac{dw}{dt}

Now, we have given

\frac{dl}{dt}=3\ cm/s

l=5\ cm

\frac{dw}{dt}=2\ cm/s

w=4\ cm

Substitute all the values,

\frac{dA}{dt}=(4)(3)+(5)(2)

\frac{dA}{dt}=12+10

\frac{dA}{dt}=22\ cm^2/s

Therefore, the area of the rectangle is increasing at a rate of  22\ cm^2/s.

4 0
3 years ago
One exterior angle of a regular polygon measures 97°. What is the measure of one interior angle?
3241004551 [841]

Hello :) = Merhaba :)

Answer:

<h3><u><em>83°</em></u></h3>

Step-by-step explanation:

The total angle of a polygon and its external angle must be 180°.

So the inner angle of this polygon:

180 - 97 = 83° would.

NOTE: I'm not American. I'm just a Turk who wants to help you. So if my sentences are wrong, please forgive me.

<em><u>#Cevapistevereyim</u></em>

Başarılar :) = Achievements :)

4 0
3 years ago
A line passes through the point (-6,7) and has a slope of -4/3. Write an equation in slope-intercept form for this line.
ICE Princess25 [194]

Answer:

Step-by-step explanation:

y-7= -4/3 (x+6)

y-7= -4/3x-8

add 7 to both sides

y= -4/3x-1

6 0
3 years ago
Please I really need this answer fast
grin007 [14]

Answer:

Ordinarily a graph like this will have arrowheads on the ends of the curve, indicating the curve continues on in the same direction. Here, we have to assume the existence of such arrowheads in order to choose a sensible answer.

As x goes to -∞, the curve continues to increase toward +∞. This is not an answer choice.

As x goes to +∞, the curve continues to decrease toward -∞. This matches the third answer choice.

4 0
2 years ago
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masha68 [24]

Answer:

Step-by-step explanation:

23550=15000(1+.0475t)

t=12

6 0
3 years ago
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