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3 years ago

Find all of the zeros of the function and write the polynomial as the product of linear factors.

Mathematics

1 answer:

Tomtit [17]3 years ago

3 0

Answer:

(x+6i)(x-6i)(x+1)

So the zeroes are 6i, -6i, -1

Step-by-step explanation:

Factor by grouping

h(x) = x^2(x+1) + 36(x+1)

h(x) = (x^2+36)(x+1)

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Pentagon ABCDE is a regular polygon. The length of side BC is represented by 3x - 4. The length of side DE is represented by the

dimulka [17.4K]

Answer:

Length of side AB = 5

Step-by-step explanation:

A regular polygon is one in which all angles are equal and all the sides have the same length.

Now, it means that;

AB = BC = CD = DE = AE

We are told that BC is represented by 3x - 4 while DE is represented by the expression 4x - 9.

Thus, from equal length of sides of a regular polygon, we have;

3x - 4 = 4x - 9

4x - 3x = 9 - 4

x = 5

Thus, length of BC = 3(5) - 4 = 15 - 4 = 11

Therefore, Length of AB = 5

5 0

3 years ago

the point slope form of the equation of a line that passes through (8,4) and (0,2) is y-4=1/4(×-8) what is the slope intercept f

marissa [1.9K]

Answer:

$\large\boxed{y=\dfrac{1}{4}x+2}$

Step-by-step explanation:

The slope-intercept form of the equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

The point-slope form of the equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point

We have the equation of a line:

$y-4=\dfrac{1}{4}(x-8)\to m=\dfrac{1}{4}$

and the point (0, 2) → b = 2.

Substitute:

$y=\dfrac{1}{4}x+2$

7 0

3 years ago

Read 2 more answers

Scientists have found a relationship between the temperature and the height above a distant planet's surface. , given below, is

ikadub [295]

The question is incomplete, the complete question is below:

Scientists have found a relationship between the temperature and the height above a distant planet's surface. , given below, is the temperature in Celsius at a height of kilometers above the planet's surface. The relationship is as follows: T(h) = 30.5 -2.5h.

a) Calculate T^-1(x)

b) T^-1(15)

Answer:

a) $T^{-1} (x)= \frac{30.5-x}{2.5}$