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3 years ago

Pls pls pls pls help. im so stressed rn

Mathematics

1 answer:

Sloan [31]3 years ago

6 0

Answer:

The function role is +2 for x, and -1 for y.

Step-by-step explanation:

The reason for my answer is because as you can see on the table;

For X, it starts at 0 and counts up by 2. For Y, it starts at 2 and counts back by 1.

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Find an equation of the sphere with point P such that the distance from P to A(−2, 6, 2) is twice the distance from P to B(4, 3,

Sveta_85 [38]

Answer:

$3*x^{2} - 36*x + 3*y^{2} -12*y + 3*z^{2} -4*z + 62 = 0$

Step-by-step explanation:

The distance from a point $P = (x,y,z)$ to another point $A = (a,b,c)$ is given by $((x-a)^{2} + (y-b)^{2} + (z-c)^{2})^{1/2}$ .

So, if the distance from P to A is twice the distance from P to B, we have an equality given by:

$((x+2)^{2} + (y-6)^{2} + (z-2)^{2})^{1/2} = 2*((x-4)^{2} + (y-3)^{2} + (z+1)^{2})^{1/2}$

If we power by 2 both sides of the equality to remove the square roots, we have:

$(x+2)^{2} + (y-6)^{2} + (z-2)^{2} = 4 * ((x-4)^{2} + (y-3)^{2} + (z+1)^{2})$

And solving every parenthesis and operating the similar terms, we have:

$(x^{2} + 4*x + 2) - 4*(x^{2} - 8*x + 16) + (y^{2} - 12 * y + 36) - 4*(y^{2} -6*y + 9) + (z^{2} -4*z+4) - 4*(z^{2}+2*z+1) = 0$

Operating and multiplying both sides by -1:

$(3*x^{2} - 36*x +62) + (3*y^{2} -12*y + 0) + (3*z^{2} -4*z + 0) = 0$

Giving as result:

$3*x^{2} - 36*x + 3*y^{2} -12*y + 3*z^{2} -4*z + 62 = 0$

The sphere can be seen here: https://www.wolframalpha.com/input/?i=3*x%5E2+-+36*x+%2B+3*y%5E2+-12*y+%2B+3*z%5E2+-4*z+%2B+62+%3D+0

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4 years ago

Check whether x-1/2 is a factor of 8x3-4x2+10x-5

olga nikolaevna [1]

Answer:

x-1/2 is in fact a factor of 8x3-4x2+10x-5 so you are correct

Step-by-step explanation:

The equation can be simplified into (2x-1)(4x2+5) and 1/2 is one of the factors

4 0

3 years ago

Please help me on #13

qwelly [4]

Answer:

2.765 Miles is how much he ran

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4 years ago

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Volgvan

Um i think you’re right

5 0

4 years ago

Read 2 more answers

(02.02) The table below shows a correct representation that 12 pounds (lb) of sugar cost $4:

worty [1.4K]

Answer:

false

Step-by-step explanation:

you didnt add the picture but the answer is false bc only 3 were shown

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3 years ago