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Kitty [74]
3 years ago
11

Write an equation of the circle with center (3,-2) and radius 11.

Mathematics
1 answer:
Alisiya [41]3 years ago
5 0

let h= 3, k=-2

radius (r) = 11 ,then

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

(x-3)^2 + ( y+2)^2 = 11^2

x^2 -6x +9 + y^2 +4y +4 = 121

x^2 + y^2 - 6x +4y -108 = 0 is the required eq

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What's 17= z- (-9) days
Arte-miy333 [17]
Z - (-9) is the same as z + 9. Subtracting a negative is the same as adding.

Therefore 
17 = z - (-9)
is the same as
17 = z + 9

To get 'z' all by itself, we need to subtract 9 from both sides. We subtract 9 from both sides to undo the "plus 9" occurring to the 'z' on the right side.

17 = z + 9
17-9 = z + 9=9 ... subtracting 9 from both sides
8 = z
z = 8

So the answer is z = 8

---------------------------

Check:

17 = z - (-9)
17 = 8 - (-9) ... replace z with 8
17 = 8 + 9
17 = 17
Answer checks out


4 0
4 years ago
Help me please!!!!!!!
Dimas [21]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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If i^2 = −1 and a = (i + 7), which is the result of squaring a?
Artyom0805 [142]

Answer:

48+14i

Step-by-step explanation:

So squaring (i+7) looks like this

(i+7)^2

(i+7)(i+7)

Use foil.

First: i(i)=i^2=-1

Outer: i(7)=7i

Inner: 7(i)=7i

Last: 7(7)=49

____________Add the terms.

48+14i

8 0
4 years ago
What is the minimum thickness of a nonreflecting film coating (n = 1.30) on a glass lens (n = 1.50) for wavelength 500 nm?
Burka [1]

The thickness of the non-reflective coating layer is 9.62 x 10¯⁸ m or 96.2 nm.

From the question we know that :

n = 1.30

λ = 500nm = 5 x 10¯⁷m

The non-reflective coating system is applied on glass and the refractive index of that system should be  <em>nair</em> < <em>ncoating</em> < <em>nglass. </em>The light travels across the air and is refracted by coating film and then refracted again by the glass. For preventing the light got reflected by glass, the thickness of the layer should obey this equation :

2nt = λ/2

t is the thickness of the layer, λ is the wavelength and n is the refractive index of the film.

By substituting the following equation we get

2nt = λ/2

t = 1/4 . ( λ / n )

t = 1/4 . ( 5 x 10¯⁷ / 1.3)

t = 9.62 x 10¯⁸ m

Hence, the thickness of the non-reflective coating layer is 9.62 x 10¯⁸ m or 96.2 nm.

Find out more on non-reflective coating at: brainly.com/question/17205515

#SPJ4

8 0
2 years ago
If 5/3 liters of water is enough to water ⅕ of your yard, 5 3 how much water is needed to water the entire yard?
zmey [24]

Answer:

8 1/3 liters

Step-by-step explanation:

create a proportion from water : yard

let 'y' = water for entire yard

5/3 ÷ 1/5 = y ÷ 5/5

5/3 · 5/1 = y/1

25/3 = y/1

3y = 25

y = 8 1/3

4 0
3 years ago
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