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4 years ago

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

1 answer:

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