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sweet [91]
3 years ago
12

Which of the following terms can be combined in this expression? -13 - x/5 + 6.2y + 20.5x - 3/8y

Mathematics
2 answers:
dsp733 years ago
3 0
C. 6.2g can be combined with -3/8y. This is because they both end in ‘y’.
Ad libitum [116K]3 years ago
3 0

Answer:

C. 6.2y can be combined with -3/8y.

Step-by-step explanation:

6.2y can be combined with -3/8y because both numbers have the same variable x. All of the other choices have different variable that are not like terms.

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First question, thanks. I believe there should be 3 answers
zysi [14]

Given: The following functions

A)cos^2\theta=sin^2\theta-1B)sin\theta=\frac{1}{csc\theta}\begin{gathered} C)sec\theta=\frac{1}{cot\theta} \\ D)cot\theta=\frac{cos\theta}{sin\theta} \\ E)1+cot^2\theta=csc^2\theta \end{gathered}

To Determine: The trigonometry identities given in the functions

Solution

Verify each of the given function

\begin{gathered} cos^2\theta=sin^2\theta-1 \\ Note\text{ that} \\ sin^2\theta+cos^2\theta=1 \\ cos^2\theta=1-sin^2\theta \\ Therefore \\ cos^2\theta sin^2\theta-1,NOT\text{ }IDENTITIES \end{gathered}

B

\begin{gathered} sin\theta=\frac{1}{csc\theta} \\ Note\text{ that} \\ csc\theta=\frac{1}{sin\theta} \\ sin\theta\times csc\theta=1 \\ sin\theta=\frac{1}{csc\theta} \\ Therefore \\ sin\theta=\frac{1}{csc\theta},is\text{ an identities} \end{gathered}

C

\begin{gathered} sec\theta=\frac{1}{cot\theta} \\ note\text{ that} \\ cot\theta=\frac{1}{tan\theta} \\ tan\theta cot\theta=1 \\ tan\theta=\frac{1}{cot\theta} \\ Therefore, \\ sec\theta\ne\frac{1}{cot\theta},NOT\text{ IDENTITY} \end{gathered}

D

\begin{gathered} cot\theta=\frac{cos\theta}{sin\theta} \\ Note\text{ that} \\ cot\theta=\frac{1}{tan\theta} \\ cot\theta=1\div tan\theta \\ tan\theta=\frac{sin\theta}{cos\theta} \\ So, \\ cot\theta=1\div\frac{sin\theta}{cos\theta} \\ cot\theta=1\times\frac{cos\theta}{sin\theta} \\ cot\theta=\frac{cos\theta}{sin\theta} \\ Therefore \\ cot\theta=\frac{cos\theta}{sin\theta},is\text{ an Identity} \end{gathered}

E

\begin{gathered} 1+cot^2\theta=csc^2\theta \\ csc^2\theta-cot^2\theta=1 \\ csc^2\theta=\frac{1}{sin^2\theta} \\ cot^2\theta=\frac{cos^2\theta}{sin^2\theta} \\ So, \\ \frac{1}{sin^2\theta}-\frac{cos^2\theta}{sin^2\theta} \\ \frac{1-cos^2\theta}{sin^2\theta} \\ Note, \\ cos^2\theta+sin^2\theta=1 \\ sin^2\theta=1-cos^2\theta \\ So, \\ \frac{1-cos^2\theta}{sin^2\theta}=\frac{sin^2\theta}{sin^2\theta}=1 \\ Therefore \\ 1+cot^2\theta=csc^2\theta,\text{ is an Identity} \end{gathered}

Hence, the following are identities

\begin{gathered} B)sin\theta=\frac{1}{csc\theta} \\ D)cot\theta=\frac{cos\theta}{sin\theta} \\ E)1+cot^2\theta=csc^2\theta \end{gathered}

The marked are the trigonometric identities

3 0
1 year ago
Simplify. √-64 A) -8 B) 8i C) -8i D) 32i
Vedmedyk [2.9K]

Answer:

C

Step-by-step explanation:

8i

√-64 = i√64 = 8i

6 0
3 years ago
Jonny makes $15 per hour working at Target. He gets a bonus
EastWind [94]

Step-by-step explanation:

he get one hour=15$

he get bonus end of the month=85$

  • total 685$- bonus 85$=600$
  • 600$÷one hour 15$= 40 hours
6 0
3 years ago
Is this the right answer
Nata [24]
All internal angles in a quadrilateral add to 360

so
x+110+110+70=360
x+290=360
minus 290 both sides
x=70 degrees
8 0
3 years ago
Read 2 more answers
You have prizes to reveal! Go to your game board. X
Delicious77 [7]
B. cdb ....angle cdb is adjacent to angle adb because they have a common side (line db)
8 0
3 years ago
Read 2 more answers
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