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klemol [59]
4 years ago
6

Which expression is equivalent to (3y+3) +(y^2 -1) +2y+(y^2+2)

Mathematics
1 answer:
Marta_Voda [28]4 years ago
8 0
The way I looked at this was the amount of y² s in the expression. There is one fro the second bracket and one from the third so the equivalent expression must have 2y². Therefore the answer must be C
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A straw is placed inside a rectangular box that is 2" x 6" x 8". If the straw fits exactly into the box diagonally from the bott
den301095 [7]

Answer: 10.2"

Step-by-step explanation:

Given

The dimension of the rectangular box is 2"\times 6"\times8"

If the Straw  fits exactly into the box diagonally

So, the length of the longest diagonal of the rectangular box is equal to the length of the straw i.e.

\Rightarrow l=\sqrt{2^2+6^2+8^2}\\\\\Rightarrow l=\sqrt{4+36+64}\\\\\Rightarrow l=\sqrt{104}\\\Rightarrow l=10.19\approx 10.2"

4 0
3 years ago
URGRENNTTT PLSS HELPP 50 POINTSS!!!!! Students were asked to simplify the expression cotangent theta plus tangent theta over cot
Naddika [18.5K]

The student that simplified the expression incorrectly is student 2

<h3>How to determine the incorrect result?</h3>

The steps are given as:

\frac{\cot(\theta) + \tan(\theta)}{\cot(\theta)}

Student 1:

  • Step 1: \frac{\cot(\theta)}{\cot(\theta)} + \frac{\tan(\theta)}{\cot(\theta)}
  • Step 2: 1 + \frac{\tan(\theta)}{\cot(\theta)}
  • Step 3: 1 + tan²(Ф)
  • Step 4: sec²(Ф)

Student 2:

  • Step 1: \frac{\cot(\theta)}{\cot(\theta)} + \frac{\tan(\theta)}{\cot(\theta)}
  • Step 2: \frac{1 +  \tan^2(\theta)}{\cot(\theta)/\tan(\theta)}
  • Step 3: sec²(Ф)/tan²(Ф)
  • Step 4: csc²(Ф)

As a general trigonometry rule;

\frac{\cot(\theta) + \tan(\theta)}{\cot(\theta)} = \sec^2(\theta)

This means that student 1 is correct, while student 2 is not

The first error in student 2's workings is in step 2, where we have:

\frac{\cot(\theta)}{\cot(\theta)} + \frac{\tan(\theta)}{\cot(\theta)} = \frac{1 +  \tan^2(\theta)}{\cot(\theta)/\tan(\theta)}

The above expression is not justified and cannot be proved by any trigonometry rule

Since the step 2 is incorrect, the other steps cannot be used.

Hence, the student that simplified the expression incorrectly is student 2

Read more about trigonometric expressions at:

brainly.com/question/8120556

#SPJ1

5 0
2 years ago
____________ have the same slope but different y-intercepts.
wlad13 [49]
Parallel lines have the same slope but different y-intercepts.

5 0
4 years ago
Hey lol um pls help i don’t get it
frutty [35]
I can’t see it it’s blurry be
8 0
3 years ago
How is the quotient 80,000 divided by 2000 different from the quotient 80,000 divided by 200 or 80,000 divided by 20
iren [92.7K]
Quotient is divide
it is differnt because it is a different value of 10s

80000/2000=80/2=40

80000/200=800/2=400

80000/20=8000/2=4000

difffent powers of 10
7 0
4 years ago
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