How do you represent an unknown quantity?

1 answer:

5 0

Answer: With a variable. A variable is a letter you use in an equation , like this: 7+x=14, X is a classic one but you can use any letter u please! (In my school at least.)

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Simplify and write the trig expression in terms of sin and cos

dsp73

We have:

$cot(-x)cos(-x)+sin(-x)=-\frac{1}{f(x)}$

Then we use trigonometric identities to change the negative sign of the trigonometric functions, so:

$-sin(x)-cot(x)cos(x)=-\frac{1}{f(x)}$

We clear f(x):

$f(x)=\frac{1}{sin(x)+cot(x)cos(x)}=\frac{1}{sin(x)+\frac{cos(x)}{sin(x)}cos(x)}=\frac{1}{sin(x)+\frac{cos^2(x)}{sin(x)}}$

we simply what we can:

$f(x)=\frac{1}{\frac{sin^2(x)+cos^2(x)}{sin(x)}}=sin(x)$

Thus, the correct answer is;

$f(x)=sin(x)$

6 0

1 year ago

I need to find the equal expression to -m(2m+2n)+3mn+2m². Help please?

spin [16.1K]

$m(2m+2n)+3mn+2m^2\implies \stackrel{\textit{distributing}}{2m^2+2mn}+3mn+2m^2 \\\\\\ 2m^2+2m^2+2mn+3mn\implies \stackrel{\textit{adding like-terms}}{4m^2+5mn}$

4 0

3 years ago

Which of the following are coefficient

malfutka [58]

Answer:

2 and -3

Step-by-step explanation:

because a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).

so in 2x-3y+5, 2 and -3 are the coefficients.

4 0

3 years ago

What are the leading coefficient, constant term and degree, if any, of the algebraic expression

nasty-shy [4]

Coefficients are the numbers in from with the variable, the constant is just a number and the degree is the exponent.

6 0

3 years ago

Solve 7 x - 15 = -2.

Arisa [49]

7x-15=-2 Move -15 to the rigjt side, 7x=-2+15 7x=13 Divide both sides by 7, 7x/7=13/7 x=13/7

6 0

3 years ago