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Natasha_Volkova [10]
4 years ago
12

The length of a rectangle is increasing at a rate of 6 cm/s and the width is increasing at a rate of 4 cm/s. when the length is

16 cm and the width is 12 cm, how fast is the area of the rectangle increasing?
Mathematics
1 answer:
alukav5142 [94]4 years ago
7 0
The area is 192 and the speed it’s increasing at is 24 cm^2/s
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write an equation in slope intercept form for the line described. perpendicular to y = -1/2x + 2/3, passes through (2,3)
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Step-by-step explanation:

Hey there!

Follow the steps to get answer.

  • Use one point formula and find 1st equation.
  • After that you find the slope of second equation.
  • Use the condition of perpendicular lines and find the slope of first equation.
  • Put slope value of equation in equation (i) and simplify them to get equation.

The equation of a line passing through point (2,3) is;

(y-3)= m1(x-2).......(i).

Another equation is;

y =  \frac{ - 1}{2} x +  \frac{2}{3}

2nd equation..

Now, From equation (ii)

We have;

Comparing equation (ii) with y = mx+c.

We get;

Slope = -1/2.

For perpendicular lines,

m1 \times m2 =  - 1

m1 \times  \frac{ - 1}{2}  =  - 1

Therefore the slope is 2.

Put value of slope (m1) in equation (i). We get;

(y - 3) = 2(x - 2)

Simplify them to get equation.

(y - 3) = 2x - 4

y = 2x - 1

Therefore the required equation is y = 2x-1.

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>

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The annual rainfall last year for Wallingford, Michigan was 61 inches and the annual rainfall this year was 32 inches. What was
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Answer:47.5%

Step-by-step explanation:

61-32=29

(29/61)x100=47.5%

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40% = 40/100 = 0.40
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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