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2 years ago

I need help finding our the perimeter

Mathematics

1 answer:

barxatty [35]2 years ago

3 0

Answer:

11x + 10y - 2w

Step-by-step explanation:

Hello!

To solve for the perimeter, we add up the like terms.

What are like terms?

Like terms are terms with the same variable and degree. 4x and 5y are NOT like terms because the variable is not the same. However, 4x and 3x are like terms, as adding them gives us 7x.

4x and 4x² are not like terms, because the degree of 4x is 1 (degree means the largest exponent), but the degree of 4x² is 2.

Solve for Perimeter:

Combine the like terms by adding them up.

Perimeter = (8x - 4w) + (3y + 2w) + (3x + 7y)
P = 8x - 4w + 3y + 2w + 3x + 7y
P = 8x + 3x + 3y + 7y - 4w + 2w
P = 11x + 10y - 2w

The perimeter is 11x + 10y - 2w

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Answer:

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Step-by-step explanation:

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3 years ago

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4 years ago

Please Help Me

ludmilkaskok [199]

Given:

The point (9,-12) is on terminal side of angle theta in standard position.

To find:

The exact value of each of the six trigonometric functions of theta.

Solution:

The given point is (9,-12). Here, x-coordinate is positive and y-coordinate is negative. So, the point lies in 4th quadrant and only cos and sec are positive in 4th quadrant.

We know that,

$r=\sqrt{x^2+y^2}$

$r=\sqrt{9^2+(-12)^2}$

$r=\sqrt{81+144}$

$r=\sqrt{225}$

$r=15$

Now,

$\sin \theta=\dfrac{y}{r}=\dfrac{-12}{15}=-\dfrac{4}{5}$

$\cos \theta=\dfrac{x}{r}=\dfrac{9}{15}=\dfrac{3}{5}$

$\tan \theta=\dfrac{y}{x}=\dfrac{-12}{9}=-\dfrac{4}{3}$

$\cot \theta=\dfrac{1}{\tan \theta}=-\dfrac{3}{4}$

$\text{cosec} \theta=\dfrac{1}{\sin \theta}=-\dfrac{5}{4}$

$\sec \theta=\dfrac{1}{\cos \theta}=\dfrac{5}{3}$

Therefore, the values of six trigonometric functions of theta are $\sin \theta=-\dfrac{4}{5},\cos \theta=\dfrac{3}{5},\tan \theta=-\dfrac{4}{3},\cot \theta=-\dfrac{3}{4},\text{cosec} \theta=-\dfrac{5}{4},\sec \theta=\dfrac{5}{3}$ .

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4 years ago

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Step-by-step explanation:

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3 years ago

The question of two numbers is eight the sum of the same two numbers is 72 what are the two numbers

Otrada [13]

Answer:

The two numbers are 64 and 8.

Step-by-step explanation:

You meant "quotient" of two numbers, right?

Represent the numbers by x and y.

Then the quotient is x/y = 8, and beyond that we know that x + y = 72.

Solve this for x and y.

If x/y = 8, then x = 8y. Substituting this into x + y = 72, we get:

(8y) + y = 72, or 9y = 72. Dividing both sides by 9 yields y = 8.

Since x/y = 8, letting y = 8 results in x = 64.

The two numbers are 64 and 8.

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3 years ago