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erastovalidia [21]
4 years ago
12

Which expression has a pair of like terms?

Mathematics
1 answer:
KATRIN_1 [288]4 years ago
7 0

Answer: x-3+x+3y

Step-by-step explanation:

Because there is 2 x’s

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(cotx+cscx)/(sinx+tanx)
Butoxors [25]

Answer:   \bold{\dfrac{cot(x)}{sin(x)}}

<u>Step-by-step explanation:</u>

Convert everything to "sin" and "cos" and then cancel out the common factors.

\dfrac{cot(x)+csc(x)}{sin(x)+tan(x)}\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)}{1}+\dfrac{sin(x)}{cos(x)}\bigg)\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg[\dfrac{sin(x)}{1}\bigg(\dfrac{cos(x)}{cos(x)}\bigg)+\dfrac{sin(x)}{cos(x)}\bigg]\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)cos(x)}{cos(x)}+\dfrac{sin(x)}{cos(x)}\bigg)

\text{Simplify:}\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)cos(x)+sin(x)}{cos(x)}\bigg)\\\\\\\text{Multiply by the reciprocal (fraction rules)}:\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)cos(x)+sin(x)}\bigg)\\\\\\\text{Factor out the common term on the right side denominator}:\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)(cos(x)+1)}\bigg)

\text{Cross out the common factor of (cos(x) + 1) from the top and bottom}:\\\\\bigg(\dfrac{1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)}\bigg)\\\\\\\bigg(\dfrac{1}{sin(x)}\bigg)\times cot(x)}\qquad \rightarrow \qquad \dfrac{cot(x)}{sin(x)}

6 0
4 years ago
A quantitative observation? a. contains a number and a unit b. does not contain a number c. always makes a comparison
Naily [24]

Answer: A. contains a number and a unit

Step-by-step explanation:

Quantitative observations measure the quantity, or the amount, of a certain thing. Therefore they must always use a number value to measure the amounts, and a unit to signify what the amount is for.

3 0
2 years ago
Find the length of the missing side
Sindrei [870]

Answer:

x = 9.2

Step-by-step explanation:

Use Pythagorean Theroem to find the lenght of x

a^2 + b^2 = c^2

6^2 + 7^2 = x^2

36 + 49 = x^2

85 = x^2

then find the square root of 85 which is 9.2

8 0
3 years ago
Solve the following question algebraically, show your work<br><br> 13 + w/7 &lt;-(fraction) = -18
evablogger [386]

Solve for w: by simplifying both sides of the equation, then isolating the variable.

w=-217

Work: 1.  Subtract 13 from both sides (w/7 = -18 - 13), 2.Simplify -18-13 to -31 (w/​7=-31), 3.Multiply both sides by 7 (w = -31 * 7), 4. Simplify 31*7 to 217 (w=-217)

8 0
3 years ago
Solve log 2x + log 12 =3 can
stepan [7]
Log(2x*12)=3
10^3=2x*12
1000=24x
1000/24=x
x=41.667
3 0
3 years ago
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