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nika2105 [10]
2 years ago
12

Write the equation of the line perpendicular to y=3/2x+3/2 that passes through the point (-1,2)​

Mathematics
1 answer:
lbvjy [14]2 years ago
4 0

Answer:

y = -2/3x + 4/3

Step-by-step explanation:

If two lines are perpendicular, the product of their slopes is -1

comparing what we have with the general form;

y = mx + b

The slope of the given equation is 3/2

To get the slope of other;

3/2 * m = -1

3m = -2

m = -2/3

So we want to write the point-slope equation

y-y1 = m(x-x1)

y-2 = -2/3(x + 1)

3y - 6 = -2x -2

3y = -2x -2 + 6

3y = -2x + 4

y = -2/3x + 4/3

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The diameter of a circle is 9 feet. Find the radius.
slava [35]
The radius is half of the diameter.

9/2=4.5

The radius is 4.5 feet.

Hope this helps!
4 0
3 years ago
The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m
jeka94

9514 1404 393

Answer:

  8000π mm^3/s ≈ 25,133 mm^3/s

Step-by-step explanation:

The rate of change of volume is found by differentiating the volume formula with respect to time.

  V = 4/3πr^3

  V' = 4πr^2·r'

For the given numbers, this is ...

  V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s

_____

<em>Additional comment</em>

By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.

4 0
3 years ago
A picture frame has a perimeter of 62 inches. The difference between the
castortr0y [4]
Answer: each width = 10, each length = 21

Explanation: from the question we know that L=2w + 1 and we also know that a rectangle has the perimeter of 62 when we plug it in the equation we will get 62= 2(2w+1+w) we will multiply the 2 now and we will get 62=4w+2+2w we will combine like terms and we will minus two from both sides ending up with 60=6w we will divide six from both sides and we will get w=10 then we will use l=2w+1 to find the length and it will be 21
8 0
3 years ago
4 divide by8/9 - 1/2
Sever21 [200]

I think 4 divided by 8/9 - 1/2 = 4

6 0
3 years ago
Enter the set described below:
LenKa [72]

Answer:

  {1, 5, 25, 125, 625}

Step-by-step explanation:

The smallest positive integers that meet the requirement will be ...

  5^0 = 1

  5^1 = 5

  5^2 = 25

  5^3 = 125

  5^4 = 625

As a set, these numbers are {1, 5, 25, 125, 625}.

7 0
2 years ago
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