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lorasvet [3.4K]

3 years ago

11

An angle whose vertex is on a circle and whose sides contain chords of the circle is called a(n) __________ angle. a. central b.

inscribed c. circumscribed

2 answers:

Stels [109]3 years ago

5 0

B. inscribed, is right.

Ipatiy [6.2K]3 years ago

4 0

A inscribed angle is correct

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write a polynomial function of least degree with integral coefficients that has the given zeros. -(1/3), -i

inessss [21]

Answer:

$f(x)=3x^3+x^2+3x+1$

Step-by-step explanation:

If a real number $-\frac{1}{3}$ is a zero of polynomial function, then

$x-\left(-\dfrac{1}{3}\right)=x+\dfrac{1}{3}$

is the factor of this function.

If a complex number $-i$ is a xero of the polynomial function, then the complex number $i$ is also a zero of this function and

$x-(-i)=x+i\ \text{ and }\ x-i$

are two factors of this function.

So, the function of least degree is

$f(x)=\left(x+\dfrac{1}{3}\right)(x+i)(x-i)=\left(x+\dfrac{1}{3}\right)(x^2-i^2)=\\ \\ =\left(x+\dfrac{1}{3}\right)(x^2+1)=\dfrac{1}{3}(3x+1)(x^2+1)=\dfrac{1}{3}(3x^3+x^2+3x+1)$

If the polynomial function must be with integer coefficients, then it has a form

$f(x)=3x^3+x^2+3x+1$

4 0

4 years ago

Please help this quiz is worth a lot of point

sergiy2304 [10]

Answer:

YZ = 1

XY = 1.5

XYZ 1.33

Step-by-step explanation:

5 0

2 years ago

-7(n+3)-8(1+8n)<br>Find answer

Oxana [17]

-7n-21-8-64n distributive property -7n-64n-29 commutative property -51n-29 combine like terms

4 0

3 years ago

Read 2 more answers

HELP FAST PLEASE!!!

Alisiya [41]

Answer:

$y = -0.75x + 9.5$

Step-by-step explanation:

Equation of a circle is given as :

$(x-a)^{2} + (y-b)^2 = r^{2} \\(x-6)^{2} + (y-5)^2 = 4^{2}\\x^{2} - 12x + 36 + y^{2} -10y + 25 = 16\\x^{2} - 12x + y^{2} -10y + 45 = 0\\$

Take the derivative of the above with respect to x

$2x - 12 + 2y dy/dx - 10 dy/dy = 0\\\frac{dx}{dy} = \frac{6 - x}{y-5} \\At (2,8) dy/dx = (6-2)/(8-5) = 4/3\\dy/dx = 4/3\\The slope of the tangent to the circle, m = \frac{-1}{dy/dx} \\m = \frac{-1}{4/3}\\m= -0.75$

The equation of the tangent is given by :

$y - y_{1} = m(x - x_{1})\\ y - 8 = -0.75(x - 2)\\y - 8 = -0.75x + 1.5\\y = -0.75x + 9.5$

8 0

3 years ago

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Which of the following is the solution to the equation 4 / 5n = 20?

S_A_V [24]

N=25 because 20 divided by 4 is 5 which is 1/5 of n meaning 5x5 is 25

5 0

3 years ago