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Alex17521 [72]
3 years ago
5

Find the limit of the function algebraically.

Mathematics
1 answer:
Archy [21]3 years ago
8 0
Lim x->0 (-7+x)/x^2
just plug in x = 0

(-7+0)/0
now this fraction is a negative number divided by 0.
So, it equals -infinity.

The limit value is infact -infinity,
but from the given option, "Does Not Exit" is the best choice.
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Factor p^4-81 completely showing all work.
3241004551 [841]

Answer:

Step-by-step explanation:

p^4-81=(p^2)^2-9^2=(p^2+9)(p^2-9)=(p^2-9(-1))(p+3)(p-3)\\=(p^2-9i^2)(p+3)(p-3)\\=(p+3i)(p-3i)(p+3)(p-3)

8 0
3 years ago
The points J (-13,10) and K(-1,-6) are endpoints of a diameter of circle G. What is the equation of circle G?
In-s [12.5K]
The correct answer is D

The equation of a circle is (x-h)^2 + (y-k)^2 = r^2

to find (h,k), you find the middle of the circle, in this scenario you do so by finding the middle of the diameter, a line that goes through the center of the circle.

To find the X value of the midpoint, add both x values together and divide by 2 and repeat for y

-13 + -1 = -14
-14/2 =-7

10+ -6 = 4
4/2 = 2

therefore (h,k) = ( -7, 2 )

Next plug these values in the equation of a circle

(x-h)^2 + (y-k)^2 = r^2

becomes

(x- (-7)) ^2 + (y-(2)) ^2 = r^2

to find r, use the distance formula to find the length of the diameter, 20, and divide by 2


plug 10 in for r and you get 100

(x+7)^2 + (y-2)^2 = 100

sorry for the late response
7 0
3 years ago
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Help SOS Help SOS<br><br> I Dont Know The Answer
olasank [31]

Answer:

7:8

Step-by-step explanation:

6 0
2 years ago
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An above-ground swimming pool in the shape of a cylinder has a diameter of 18 feet and a height of 4.5 feet.If the pool is fille
Furkat [3]

Answer:

The volume of the water in the pool is 1,017 cubic feet

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

V=\pi r^{2} h

we have

r=18/2=9\ ft ----> the radius is half the diameter

Remember that

1\ ft=12\ in

so

6\ in=6/12=0.5\ ft

To find out the height of the water, subtract 0.5 feet from the height of the swimming pool

h=4.5-0.5=4\ ft

assume

\pi =3.14

Find the volume of the water

V=(3.14)(9^{2})(4)

V=1,017\ ft^3

3 0
3 years ago
In which number does one digit 6 have a value of 1 /100 of the other 6?
maw [93]

Answer:

The answer is C.

Step-by-step explanation:

8 0
3 years ago
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