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3 years ago

Please solve thank you very much!!

Mathematics

2 answers:

cricket20 [7]3 years ago

5 0

Answer:

Its C. Subtract 9 on both sides

Step-by-step explanation:

jeyben [28]3 years ago

3 0

Subtract 9 by both sides

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Find an equation of the sphere through the point (4,3,-1) and has center (3,8,1).

sleet_krkn [62]

Answer:

$(x - 3)^{2} + (y - 8)^{2} + (z - 1)^{2} = 30$

Step-by-step explanation:

The general equation of a sphere is as follows:

$(x - x_{c})^{2} + (y - y_{c})^{2} + (z - z_{c})^{2} = r^{2}$

In which the center is $(x_{c}, y_{c}, z_{c}$ , and r is the radius.

In this problem, we have that:

$x_{c} = 3, y_{c} = 8, z_{c} = 1$

$(x - 3)^{2} + (y - 8)^{2} + (z - 1)^{2} = r^{2}$

through the point (4,3,-1)

This leads us to find the radius.

$(4 - 3)^{2} + (3 - 8)^{2} + (-1 - 1)^{2} = r^{2}$

$r^{2} = 1 + 25 + 4$

$r^{2} = 30$

So the equation of the sphere is:

$(x - 3)^{2} + (y - 8)^{2} + (z - 1)^{2} = 30$

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3 years ago

What is this can anyone help me

Solnce55 [7]

g(x) = (x - 3)² - 4

given f(x) is shifted a units horizontally to the right → f(x) → f(x - a)

If f(x) is shifted by a units horizontally left → f(x) → f(x + a)

If f(x) is shifted by b units vertically up → f(x) → f(x) + b

If f(x) is shifted by b units vertically down → f(x) → f(x) - b

The vertex (0, 0) of f(x) has shifted to (3, -4)

that is 3 units horizontally to the right and 4 units vertically down

hence g(x) = (x - 3)² - 4

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