Sin( X+Y ) = cos( X−Y ) = 1, find the value of X and Y.

Mathematics

1 answer:

iris [78.8K]3 years ago

7 0

answer x = 225 and y = -135

Step-by-step explanation:

x+y = 90 and x= 90-y and x -y = 360 so 90-y -y = 360

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According to the Rational Root Theorem, which function has the same set of potential rational roots as the function g(x) = 3x5 –

elena55 [62]

Answer:

Step-by-step explanation:

Given is an algebraic polynomial of degree 5.

$g(x) = 3x^5-2x^4+9x^3-x^2+12\\$

Here leading term is p=3 and constant term is q =12

Factors of p are ±1,±2,±3

Factors of q are $\frac{±1,±2,±3,±4,±6,±12} \\$

Possible forms of p/q will be the same for any other polynomial of degree 5 with leading term =3 and constant term = 12

Hence any other polynomial

$g(x) = 3x^5+ax^4+bx^3+cx^2+12$

will have same possible zeroes of p/q, when a,b,c are rational.

Hence any polynomial of this type would have the same possible rational roots.

7 0

4 years ago

The rectangle below has a area x^2-x-72 square meters and a length of x+8 meters what expression represents the width of the rec

mixer [17]

ANSWER

$w = (x - 8)$

EXPLANATION

The given rectangle has area,

$A = {x}^{2} - x - 72 \: {m}^{2}$

It was given to us that, the length of the rectangle is l=(x+8)

To find the width, we need to factor, the expression for the area.

We split the middle term to get,

$A = {x}^{2} - 9x + 8x- 72$

We now factor by grouping;

$A = x(x - 9) + 8(x- 9)$

$A = (x + 8)(x - 9)$

We know that area of a rectangle is

$A = l \times w$

Hence the width of the rectangle is,

$w = (x - 8)$

8 0

3 years ago

Read 2 more answers

Solve the system of linear equations by ellmination. 5x + 9y = -11 3x + 9y = -3 A. (-4,-1) -B. (-1, –4) C. (-4,1) D. (1,-4)

valentina_108 [34]

Answer:

Step-by-step explanation:

5x + 9y = -11

3x + 9y = -3

5x + 9y = -11

-3x - 9y = 3

2x = -8