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3 years ago

11

Use synthetic substitution to evaluate the polynomial for the given value x = -3. P(x) = 2x2 + 7x - 1

1 answer:

kaheart [24]3 years ago

7 0

I'm assuming that is 2x squared, and not 2 multiplied by 2, as a given question usually wouldn't come in such a silly format. I do wish people would start using (2x^2) or (2x²), though.

Just substitute the value of x (-3) in to the equation to find the value of y, or P(x).

2(-3)² + 7(-3) - 1 = -4

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4 years ago

Given AB is tangent to circle C at point B, what is the circumference of circle C?

faltersainse [42]

<u>Given</u>:

Given that AB is a tangent to circle C.

The length of AB is (2r -1)

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The length of BC is r.

We need to determine the circumference of the circle C.

<u>Value of r:</u>

The value of r can be determined using the Pythagorean theorem.

Thus, we have;

$AC^2=AB^2+BC^2$

Substituting the values, we have;

$[(r+1)+r]^2=(2r-1)^2+r^2$

Simplifying, we have;

$(2r+1)^2=(2r-1)^2+r^2$

Expanding the terms, we get;

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Simplifying the values, we have;

$4r=-4r+r^2$

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$8r=r^2$

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Thus, $r=0 \ or \ r=8$

Since, the radius of the circle cannot be 0.

Hence, the radius of the circle is 8.

<u>Circumference of the circle:</u>

The circumference of the circle can be determined using the formula,

$C=2 \pi r$

Substituting r = 8, we get;

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$C=16 \pi$

Thus, the circumference of the circle is 16π

Hence, Option A is the correct answer.

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3 years ago