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1 year ago

Simplify Sinx + cosx/ cos²x - sin²x

1 answer:

3 0

$\dfrac{\sin x + \cos x}{\cos^2 x - \sin^2 x}\\ \\\\=\dfrac{\sin x + \cos x}{(\cos x + \sin x )\\\\(\cos x - \sin x)}\\\\\\=\dfrac{1}{\cos x - \sin x}$

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I will make brainlyest.

Temka [501]

Answer:

x + 46

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define expression

4(-8x + 5) - (-33x - 26)

Step 2: Simplify

Distribute: -32x + 20 + 33x + 26
Combine like terms (x): x + 20 + 26
Combine like terms (Z): x + 46

3 0

2 years ago

A cable hangs between two poles of equal height and 35 feet apart. At a point on the ground directly under the cable and x feet

gayaneshka [121]

Answer:

293.38 pounds

Step-by-step explanation:

We are given that

Distance between poles=35 feet

$h(x)=10+0.1(x^{1.5})$

Weight of cable=10.4 per linear foot

We have to find the weight of the cable.

Differentiate w.r.t

$h'(x)=0.1(1.5)x^{0.5}=0.15x^{0.5}$

$s=2\int_{0}^{17.5}\sqrt{1+(h'(x))^2}dx$

$s=2\int_{0}^{17.5}\sqrt{1+(0.15x^{0.5})^2}dx$

$s=2\int_{0}^{17.5}\sqrt{1+0.0225x}dx$

Let $1+0.0225x=t$

$dx=\frac{1}{0.0225}dt$

$s=\frac{2}{0.0225}\int_{0}^{17.5}\sqrt{t}dt$

$s=\frac{2}{0.0225}\times\frac{2}{3}[t^{\frac{3}{2}}]^{17.5}_{0}$

$s=2\times \frac{2}{3\times0.0225}[(1+0.0255x)^{\frac{3}{2}]^{17.5}_{0}$

$s=\frac{4}{3\times 0.0225}((1+0.0225(17.5))^{\frac{3}{2}-1)$

s=28.21

Weight of cable= $28.21\times 10.4=293.38$ pound

8 0

2 years ago

4х + Зу = 9 find the slope and y intercept

Volgvan

Step-by-step explanation:

3y/3=9-4x/3

y=3-4x/3

slope=x= -4/3

y intercept

y=3-4(0)/3

y=3-0

y=3

7 0

2 years ago

Consider the quadratic function f(x) = x2 – 5x + 6.

PolarNik [594]

A = 2
b = -5
c = 6

The coefficients are 2 and -5
The constant is 6

5 0

3 years ago

Marshall deposited $3,300 in a savings account with simple interest. Six months later, the account held $3,415.50. What was the

Naya [18.7K]

the simple interest is granted by the end of the year probably.If in 1/2 a year he gathered $115.50 then

115.50=3.300×r/2

r=231/3300

r=7%

4 0

2 years ago

Simplify Sinx + cosx/ cos²x - sin²x​

Simplify Sinx + cosx/ cos²x - sin²x