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2 years ago

Prove identity: tanx-1/tanx+1= 1-cotx/1+cotx

1 answer:

5 0

<span>to answer the question above, take the LHS.
[(tan x - 1) / (tan x + 1)] =

Remember that tan x = 1 / cot x.
{[(1 / cot x) - 1] / [(1 / cot x) + 1]} =

The LCD is cot x. Multiply as needed to get the common denominator for all terms.
{[(1 / cot x) - 1(cot x / cot x)] / [(1 / cot x) + 1(cot x / cot x)]} =
{[(1 / cot x) - (cot x / cot x)] / [(1 / cot x) + (cot x / cot x)]} =

Then Simplify.
[(1 - cot x) / cot x] / [(1 + cot x) / cot x] =

Remember that (a / b) / (c / d) = (a / b) * (d / c).
[(1 - cot x) / cot x] * [cot x / (1 + cot x)] =
[(1 - cot x) / (1 + cot x )] =
RHS</span>
The answer is
<span>[(tan x - 1) / (tan x + 1)] = [(1 - cot x) / (1 + cot x )] </span>

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PLS HELP DUE SOON!!!!:(

Len [333]

Answer:

I don't know how to answer question 1, but the answer from question 2 is x=5

Step-by-step explanation:

The triangle shown is an isosceles triangle because it has two congruent sides. The base angles of isosceles triangles are congruent so ∠y=∠x. since the ∠x is 52 the ∠y is also 52. We subtract the measure of angles x and y in order to find the measure of the third angle. 180-(52+52) or 180-104 is 76. this means that 14x=6=76. All we have to do to get the answer now is solve. 76-6 is 70 and 70 divided by 14 is 5. x=5.

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2 years ago

Which values are possible rational roots of 4x3+9x2−x+10=0 according to the rational root theorem? Select each correct answer. ±

navik [9.2K]

ANSWER

The possible rational roots are:

$\pm\frac{1}{2},\pm2,\pm \frac{5}{2}$

EXPLANATION

According to the rational root theorem, the possible rational roots of the polynomial,

$4x^3+9x^2-x+10=0$

are all the possible factors of the constant term divided by all the possible factors of the coefficient of the highest degree of the polynomial.

Therefore we examine the numerator and denominator of the options provided to see if they are factors of 10 and 4 respectively.

For

$\pm\frac{1}{2}$ , we can see that 1 is a factor of 10 and 2 is a factor of 4, hence it is a possible rational root.

The same thing applies to $\pm2,\pm \frac{5}{2}$ also.

As for

$\pm \frac{2}{5}$ , 2 is a factor of 10 but 5 is not a factor of 2, hence it is not a possible rational root.

5 0

2 years ago

On a test Matilda answered 12 out of the first 15 correctly. If this rate continues how many of the next 25 problems will she an

Reil [10]

12/15 = x/100
Multiply 12 x 100 to get 1,200/15 is 80.
Because 25 x 4 = 100, you divide 80 by 4.
Your answer is 20.

5 0

3 years ago

Read 2 more answers

At the concert, there are 75 more girls than boys. If the ratio of girls to

Kryger [21]

<h3>Answers: 100 girls and 25 boys</h3>

============================================================

Explanation:

x = number of boys

The ratio of girls to boys is 4:1, meaning there are 4 times as many girls compared to boys. For example, the concert may have 40 girls and 10 boys.

For now, x is some unknown positive whole number. But we can say that 4x represents the number of girls, as we multiply by 4.

----------

We're told there are 75 more girls than boys, so,

number of girls = (number of boys) + 75

4x = x + 75

4x-x = 75

3x = 75

x = 75/3

x = 25

There are 25 boys and 4x = 4*25 = 100 girls.

We can see that 100-25 = 75 to show that there are 75 more girls compared to boys.

And also, the ratio 100:25 reduces fully to 4:1 after dividing both parts by the GCF 25. These two facts fully confirm the answers.

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2 years ago

How many people attended the game?

lys-0071 [83]

I would say that 300 people attended.

8 0

3 years ago