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enot [183]
3 years ago
9

The distance from the origin to the point ​(-24​, 32​) is

Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0
The Pythagorean theorem tells you that distance is
.. √((-24)^2 +32^2)) = √(576 +1024) = √1600 = 40
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A line that includes the points 
timofeeve [1]

Answer:

p = -12

Step-by-step explanation:

I used graph paper to graph point (-7,-6) then i used the slope to continue to graph the rest of the points until i got to (-1,-12).

7 0
4 years ago
Find the area between the graph of the function and the x-axis over the given interval, if possible.
vodomira [7]

Answer:

A= -\frac{5}{-1} - \lim_{x\to\infty} \frac{5}{x-2} = 5-0 = 5

So then the integral converges and the area below the curve and the x axis would be 5.

Step-by-step explanation:

In order to calculate the area between the function and the x axis we need to solve the following integral:

A = \int_{-\infty}^1 \frac{5}{(x-2)^2}

For this case we can use the following substitution u = x-2 and we have dx = du

A = \int_{a}^b \frac{5}{u^2} du = 5\int_{a}^b u^{-2}du

And if we solve the integral we got:

A= -\frac{5}{u} \Big|_a^b

And we can rewrite the expression again in terms of x and we got:

A = -\frac{5}{x-2} \Big|_{-\infty}^1

And we can solve this using the fundamental theorem of calculus like this:

A= -\frac{5}{-1} - \lim_{x\to\infty} \frac{5}{x-2} = 5-0 = 5

So then the integral converges and the area below the curve and the x axis would be 5.

7 0
3 years ago
Help and help on my recent question too please
sveticcg [70]
For the second one 1 mph equals 1.6 km so i’m pretty sure it would be all of them
5 0
3 years ago
Read 2 more answers
Which triangle is possible?
guajiro [1.7K]

Answer:

  (a)  3 ft, 4 ft, 5 ft

Step-by-step explanation:

The triangle inequality requires the sum of the two short sides exceed the long side.

__

a) 3 ft + 4 ft = 7 ft > 5 ft . . . . . triangle is possible

b) 4 yd + 1 2/3 yd = 5 2/3 yd < 10 yd . . . . not a possible triangle

c) 3 ft + 3 ft = 6 ft < 7 ft . . . . not a possible triangle

d) 4 in + 4 in = 8 in . . . . not a possible triangle (not greater than 8 in)

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The first set of side lengths can form a triangle: 3 ft, 4 ft, 5 ft.

7 0
2 years ago
20 POINTS!
alukav5142 [94]
I think it was √(a^2+b^2. I think.
8 0
3 years ago
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