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vlabodo [156]
3 years ago
5

If the endpoints of the diameter of a circle are (−8, 0) and (−12, 2), what is the standard form equation of the circle?

Mathematics
2 answers:
Paladinen [302]3 years ago
8 0
A(-8,0)  B(-12,12)the center is w((-8-12)/2 , (0+12)/2)....(midel [ AB]w(-10 ,6)the ridus is : r = AB/2AB = √(-12+8)²+(12-0)² = √16+144 =√160/2an equation in standard form equation of the circle :(x+10)²+(y-6)² =  (√160/2)²=160/4 = 40

madreJ [45]3 years ago
7 0
The midpoint of a diameter is the centre of the circle.

The centre is important for finding the equation.

Midpoint = (-10, 1)

The radius is also important

I will include it in the image

Equation of circle (x +10)^2 + (y -2)^2 = 5

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3 years ago
The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain? {5, 8} {-5, -8} {3, 8} {4, 7} {4, 8}
Savatey [412]
The range is the ouutput from inputing the input
basically
25=k²+2k+1 and 64=k²+2k+1
the values that satisfy both equations (not at the same tim) are the valuess that are the domain
solve each
25=k²+2k+1
minus 25 both sides (or recognize the perfect square trinomial, but anyway)
0=k²+2k-24
factor
0=(k+6)(k-4)
set to zero
k+6=0
k=-6
k-4=0
k=4
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64=k²+2k+1
minus 64 both sides
0=k²+2k-63
facor
0=(k-7)(k+9)
set to zer
k-7=0
k=7
k+9=0
k=-9
k=-9 or 7



so the domain has the numbers
-9,-6,4,7
it seems we only want the positive square roots so
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3 0
3 years ago
A box contains 3 plain pencils and 7 pens . A second box contains 4 colored pencils and 4 crayons . One item from each box is ch
strojnjashka [21]

Answer:

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6 0
3 years ago
The base of a triangular prism has an area of 18 square inches . If the height of the prism is 4.5 inches then what is the volum
Nady [450]

Answer:

The volume for the triangular prism is 40.5 cubic inches.

Step-by-step explanation:

Given:

The base of a triangular prism has an area of 18 square inches .  

And the height is 4.5 inches.

Now, to get the triangular prism volume.

The base area = 18 square inches.

Height = 4.5 inches.

Now, to get the volume of prism we put formula:

Volume=\frac{1}{2} \times base\ area\times height\\\\Volume=\frac{1}{2} \times 18\times 4.5\\\\Volume=40.5\ cubic\ inches.

Therefore, the volume for the triangular prism is 40.5 cubic inches.

7 0
3 years ago
Select all the expressions whose value is larger than 100. *
arsen [322]
Hi! They are- A,C,E, and F sorry if I’m wrong! Have a great day! :)
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