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salantis [7]
3 years ago
7

Find the value of x and y

Mathematics
1 answer:
Inessa [10]3 years ago
3 0

Answer: D. x=9√3; y=18

Step-by-step explanation:

This is a 30-60-90 special triangle, where we can use the rules to find the value of x and y. (For specific explanation, please look at the attachment below)

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

<u>X value</u>

- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.

- Using the rules, the shortest side is x, then the second short side is x√3

- Substitute value in= x√3=(9)√3=9√3

Y value

- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.

- Using the rules, the shortest side is x, then the longest side is 2x

- Substitute value in= 2x=2(9)=18

Hope this helps!! :)

Please let me know if you have any questions

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Given :

Center of sphere , C( 1 , -1 , 6 ) .

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Find equations of the spheres with center (1, −1, 6) that touch the following planes.a) xy-plane b) yz-plane c) xz-plane .

Solution :

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b)

Distance of point from yz-plane is :

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So , equation of circle with center C and radius 1 units is :

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c)

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Hence , this is the required solution .

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