$\: \: \: 2x + 3y = - 6 \\ -2x + 3y = \: \: \: 6 \\ \frac{ + \: \: \: \: \: \: - \: \: \: \: \: \: = - }{ }{} \\ \: \: \: 4x \: \: \: \: \: \: \: \: \: \: \: \: = - 12 \\ \\ x = \frac{ - 12}{4} \\ \\ x = - 3$

now,

$-2( - 3) + 3y = 6 \\ 6 + 3y = 6 \\ 3y = 6 - 6 \\ 3y = 0 \\ y = \frac{0}{ 3} \\ y = 0$

thus, (-3, 0)

3 0

3 years ago

Which is an equation of an asymptote of the hyperbola?

Vikentia [17]

Follow the method of rise over run and a is your answer

3 0

4 years ago

Simplify the following polynomial

Amiraneli [1.4K]

Answer:

-3x^4 - 13x^3 + 14x - 7

Step-by-step explanation:

(5x^4 – 9x^3 + 7x – 1) + (-8x^4 + 4x^2 – 3x + 2) - (-4x^3 + 5x - 1)(2x – 7)

simplify multiplied terms

(-4x^3 + 5x - 1)(2x – 7)

(-4x^3+10x-8)

group like terms together

(5x^4-8x^4) + (-9x^3-4x^3) + (7x-3x+10x) + (-1+2-8)

simplify grouped terms

-3x^4 - 13x^3 + 14x - 7

3 0

3 years ago