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Marina86 [1]
3 years ago
9

Help me out! I always mark brainliest. Unless of course, it is incorrect or inadequate. Please include how you did the problem.

Thanks!

Mathematics
1 answer:
Charra [1.4K]3 years ago
5 0
If 2 + 5i is a zero, then by the complex conjugate root theorem, we must have its conjugate as a zero to have a polynomial containing real coefficients. Therefore, the zeros are -3, 2 + 5i, and 2 - 5i. We have three zeros so this is a degree 3 polynomial (n = 3).
f(x) has the equation
                        f(x) = (x+3)(x - (2 + 5i))(x - (2 - 5i))
If we expand this polynomial out, we get the simplest standard form
                        f(x) = x^3-x^2+17x+87
Therefore the answer to this question is f(x) = x^3-x^2+17x+87
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15. find the values of x and y
zloy xaker [14]

Answer:

y = 8

x = 21

Step-by-step explanation:

Find x first. Since there is a straight line, we can conclude it's equal to 180 degrees.

11x + 10 -61 = 180

Add 10 to negative 61.

11x - 51 = 180

Add 51 to both sides.

11x = 231

Divide 11 both sides

x = 21.

Now put x in the equations to solve.

This is for the small angle on the right side.

(21+10) = 31

This is for the big angle on the right side.

(10(21) - 61)

210 - 61 = 149.

Now for the other side, we know the degree for the smaller side on the left side since it's a vertical angle.

31 degrees for top left angle. Since we know this side is 180 just subtract 31 from 180 and you'll get 149.

18y + 5 = 149

Subtract 5 both sides.

18y = 144

y = 8.

3 0
2 years ago
CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION?
Dimas [21]

Answer:

  B.  More than one quadrilateral exists with the given conditions, and all instances must be isosceles trapezoids.

Step-by-step explanation:

In a parallelogram, adjacent angles are supplementary. They are only congruent if the parallelogram is a rectangle. In this problem, adjacent angles are both congruent and acute. If this were a triangle, it would guarantee the triangle is isosceles.

The fact that opposite angles are supplementary guarantees that the fourth side of the figure is parallel to the base between the acute angles. That makes the figure an isosceles trapezoid. Unless specific angles and side lengths are specified, the description matches <em>any</em> isosceles trapezoid.

4 0
3 years ago
Please help me out with this
Ivanshal [37]

Answer:

374.1

Step-by-step explanation:

Area of Hexagon = \frac{3\sqrt{3} }{2} * a^{2}

The ' a ' is the side length.

So now we just plug in the values

\frac{3\sqrt{3} }{2} *12^{2} = 374.12

3 0
2 years ago
If a is an integer, prove that (14a + 3, 21a + 4) = 1.
Firdavs [7]

Answer:

(14a+3, 21+4) = 1

Step-by-step explanation:

We are going to use the Euclidean Algorithm to prove that these two integers have a gcd of 1.

gcd (14a + 3, 21a + 4) = gcd (14a+3, 7a + 1) = gcd (1, 7a+1) = 1

Therefore,

(14a + 3, 21a + 4) = 1

8 0
2 years ago
It would take 5 taps 150 mins to fill a pool.
Maksim231197 [3]

Answer:

250 mins

Step-by-step explanation:

since number of taps times time is constant

4 0
3 years ago
Read 2 more answers
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