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Elza [17]
2 years ago
13

I don’t quite understand this problem could someone help me please

Mathematics
1 answer:
ale4655 [162]2 years ago
3 0

Answer:

\frac{7\sqrt{65}}{65}

Step-by-step explanation:

Cosine is the ratio of the side adjacent to the angle and the right triangle hypotenuse.

cos B = \frac{7}{\sqrt{65}} = \frac{7\sqrt{65}}{65}

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Find the equation of a line perpendicular to y - 3x = – 8 that passes through the point
kenny6666 [7]
Y - 3x = -8
y = 3x - 8...slope here is 3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is -1/3.

y = mx + b
slope(m) = -1/3
(3,2)...x = 3 and y = 2
now we sub and find b, the y int
2 = -1/3(3) + b
2 = -1 + b
2 + 1 = b
3 = b

so ur perpendicular equation is : y = -1/3x + 3


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3 years ago
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Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 i. Which statement describes the number and nature of al
bagirrra123 [75]

The correct option is f(x) has three real roots and two imaginary roots.

Given

Three roots of a fifth-degree polynomial function f(x) are –2, 2, and 4 i.

<h3>Complex conjugate</h3>

The complex conjugate of a complex number is the number with an equally real part and an imaginary part equal in magnitude but opposite in sign.

It is given that the roots of the fifth-degree polynomial function are -2, 2, and 4+i.

Since the degree of f(x) is 5, therefore there are 5 roots of the function either real or imaginary.

According to the complex conjugate root theorem, if a+ib is a root of a polynomial function f(x), then a-ib is also a root of the polynomial f(x).

Since 4+i is a root of f(x), so by complex conjugate rot theorem 4-i is also a root of f(x).

From the given data the number of real roots is 2 and the number of 2. The number of complex roots is always an even number, so the last root must be a real number.

Therefore, the correct option is f(x) has three real roots and two imaginary roots.

To know more about imaginary roots click the link given below.

brainly.com/question/1375079

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Answer:B dog

Step-by-step explanation:

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