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3 years ago

PLEASE HELP WILL MARK BRAINLIEST

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

3 0

Step-by-step explanation:

${ \tt{9 {x}^{2} + 11x + 5}} \\ = { \tt{(18x + 11i)(18x + 11i)}}$

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Answer is 8.99, but how tho

Mnenie [13.5K]

Answer:

x ≈ 8.99

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between trig functions and sides in a right triangle. Here, the geometry of the problem can be modeled by a right triangle. We are given one side and want to find the difference in lengths of the other side for two different angles.

<h3>setup</h3>

The tower height is the side opposite the angle of elevation. The distance from the tower to the end of the shadow is the side adjacent to the angle of elevation, so the relevant trig relation is ...

Tan = Opposite/Adjacent

tan(angle of elevation) = (tower height)/(length of shadow)

Solving for the length of shadow, we have ...

length of shadow = (tower height)/tan(angle of elevation)

The difference in shadow lengths is 2x for the two different angles, so we have ...

2x = 24.57/tan(30°) -24.57/tan(45°)

<h3>solution</h3>

Dividing by 2 and factoring out the tower height, we have ...

x = 12.285(1/tan(30°) -1/tan(45°)) = 12.285(√3 -1)

x ≈ 8.993244

The value of x is about 8.99.

7 0

2 years ago

Which of the following are polynomials?

Flauer [41]

Answer:

Options A and C are the only polynomials.

Step-by-step explanation:

We know that,

A polynomial is an expression having more than one algebraic terms.

It is of the form, $p(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+............+a_{1}x+a_{0}$ ,

where the coefficients $a_{i}$ for i = 1,2,3,4,... are real numbers and the degree 'n' are natural numbers.

So, from the options, we see that,

Options B, D and E are not of the above form and so are not polynomials.

Thus, options A and C are the only polynomials.

6 0

3 years ago

Read 2 more answers

The following integral requires a preliminary step such as long division or a change of variables before using the method of par

shtirl [24]

Division yields

$\dfrac{x^4+7}{x^3+2x} = x-\dfrac{2x^2-7}{x^3+2x}$

Now for partial fractions: you're looking for constants a, b, and c such that

$\dfrac{2x^2-7}{x(x^2+2)} = \dfrac ax + \dfrac{bx+c}{x^2+2}$

$\implies 2x^2 - 7 = a(x^2+2) + (bx+c)x = (a+b)x^2+cx + 2a$

which gives a + b = 2, c = 0, and 2a = -7, so that a = -7/2 and b = 11/2. Then

$\dfrac{2x^2-7}{x(x^2+2)} = -\dfrac7{2x} + \dfrac{11x}{2(x^2+2)}$

Now, in the integral we get

$\displaystyle\int\frac{x^4+7}{x^3+2x}\,\mathrm dx = \int\left(x+\frac7{2x} - \frac{11x}{2(x^2+2)}\right)\,\mathrm dx$

The first two terms are trivial to integrate. For the third, substitute y = x ² + 2 and dy = 2x dx to get

$\displaystyle \int x\,\mathrm dx + \frac72\int\frac{\mathrm dx}x - \frac{11}4 \int\frac{\mathrm dy}y \\\\ =\displaystyle \frac{x^2}2+\frac72\ln|x|-\frac{11}4\ln|y| + C \\\\ =\displaystyle \boxed{\frac{x^2}2 + \frac72\ln|x| - \frac{11}4 \ln(x^2+2) + C}$

7 0

3 years ago

Factor the term completely: 1-(x+y)^3

sattari [20]

The answer would be 2y(3x²+ y²).

3 0

4 years ago

Kersha has two jobs. During the day she works as an office clerk, and in the evening she works as a cashier. Her office job pays

Furkat [3]

Let x = hours worked as a clerk ($12 per hour).Let y = hours worked as a cashier ($8.25 per hour).She worked 55 hours, thereforex + y = 55 (1)She earned $585, therefore12x + 8.25y = 585 (2)From (1), obtainy = 55 - x (3)Substitute (3) into (2).12x + 8.25(55 - x) = 58512x + 453.75 - 8.25x = 5853.75x = 131.25x = 35y = 55 - x = 55 - 35 = 20
Answer: c) Office clerk: 35 hours; cashier: 20 hours.

3 0

4 years ago