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Yuki888 [10]
3 years ago
8

A king rules a small mountain kingdom which is in the form of a square of length 4 kilometers. The square is described by the co

ordinate system0≤≤4,0≤≤4. The king has four adult children, each of which has a luxury palace located at the points (1,1),(3,1),(1,3),(3,3). Each child owns all the land that is nearer their palace than any other palace.
Sketch a Voronoi diagram to represent this information.
Mathematics
1 answer:
Andrei [34K]3 years ago
6 0

Answer:

i can not get the answer

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Use the identity (x+y)(x^2−xy+y^2)=x^3+y^3 to find the sum of two numbers if the product of the numbers is 28, the sum of the sq
lara31 [8.8K]

Step-by-step explanation:

We have xy = 28, x² + y² = 65 and x³ + y³ = 407.

Since (x + y)(x² - xy + y²) = x³ + y³,

x + y = (x³ + y³)/(x² + y² - xy)

= (407) / [(65) - (28)]

= 407 / 37

= 11.

Hence the sum of the numbers is 11.

4 0
2 years ago
Read 2 more answers
Sally consumed 2.5 gallons of water in one day. How many milliliters are equal to 2.5 gallons, if 1 liter = 1,000 milliliters an
kozerog [31]
The answer is 9462.5ml.
6 0
2 years ago
3 sisters are each 2 years apart in age. the youngest sister is emily, the middle sister is samantha and the oldest sister is la
Bad White [126]
Emily = x
Samantha = x + 2
Lauren = x + 4

x + (x + 2) + (x + 4) = 42

x = 12

Thus: 

Emily = 12
Samantha = 14
Lauren = 16
7 0
2 years ago
Find the point of intersection between the lines: y=3x-1 and y-x+3=0
Anon25 [30]

Answer:

<em>( - 1 , - 4 ) </em>

Step-by-step explanation:

y = 3x - 1

y = x - 3

3x - 1 = x - 3 ⇒ <u><em>x = - 1</em></u>

y = 3( - 1 ) - 1 = - 4

<u><em>y = -  4</em></u>

<em>( - 1 , - 4 )</em>

8 0
2 years ago
How do you find the exact value of sec θ if sin θ = -15/17 and 180 &lt; θ &lt; 270?
AnnyKZ [126]

For 180^\circ, we expect to have \cos\theta. Then if \sin\theta=-\dfrac{15}{17}, we have

cos^2\theta+\sin^2\theta=1\implies\cos\theta=-\sqrt{1-\sin^2\theta}=-\dfrac8{17}

\implies\sec\theta=\boxed{-\dfrac{17}8}

7 0
3 years ago
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