Determine the value of f(3) for the function

Mathematics

1 answer:

gtnhenbr [62]3 years ago

7 0

Answer:

B. Undefined

Step-by-step explanation:

x = 3 corresponds to second piece.

Substitute x with 3 and find the value of f(3):

f(3) = (3*3 - 9)/(3³ - 2*3² - 5*3 + 6) = 0 / 0 = undefined

Correct choice is B

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The center of a circle is at (2, −5) and its radius is 12.

stiv31 [10]

Answer:

The equation of the circle is (x - 2)² + (y + 5)² = 144 ⇒ A

Step-by-step explanation:

The form of the equation of the circle is (x - h)² + (y - k)² = r², where

r is the radius of the circle

h, k are the coordinates of the center of the circle

Let us solve the question

∵ The center of the circle is at (2, -5)

→ From the rule above

∴ h = 2 and k = -5

∵ The radius of the circle is 12

∴ r = 12

→ Substitute the values of r, h, and k in the form of the equation above

∵ (x - 2)² + (y - -5)² = (12)²

∴ (x - 2)² + (y + 5)² = 144

∴ The equation of the circle is (x - 2)² + (y + 5)² = 144

7 0

3 years ago

What is the answer to this somebody!!!

Fed [463]

Use the geometric mean for right triangles as the sides are related to the hypotenuse. 30 - 6 = 24. We need that for our proportion. $\frac{24}{x}=\frac{x}{30}$ . We cross-multiply to get $x^2=720$ . Taking the square root of both sides gives us that $x=12\sqrt{5}$ , the second choice above.