2 years ago

Solve the system of equations algebraically. 6x + 5y = -14 5x + 2y = -3

1 answer:

5 0

(1,-4)
x=1, y=-4.

Solve for the first variable in one of the equations, then substitute the result into the other equation.

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What is the slope of the line whose equation is y−4=5/2(x−2)?

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Answer:

$m=\dfrac{5}{2}$

Step-by-step explanation:

If the equation of the line is

$y=mx+b,$

then m represents the slope of the line and b represents the y-intercept of the line. This equation is called the equation of the line in the slope form.

Rewrite the equation of the line in the slope form

$y-4=\dfrac{5}{2}(x-2)\\ \\y-4=\dfrac{5}{2}x-\dfrac{5}{2}\cdot 2\\ \\y-4=\dfrac{5}{2}x-5\\ \\y=\dfrac{5}{2}x-1$

Thus, the slope of the line is

$m=\dfrac{5}{2}$

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2xy + 5 - 8 + 3xy - y +7 + 3y = 5xy - 8 + 2y + 12

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3 years ago

Which ratio can form a proportion with 2/3?

Gennadij [26K]

Answer:

6/9

Step-by-step explanation:

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2 years ago

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Problem is attached, please show steps

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Answer:

Step-by-step explanation:

$cos\theta=\frac{adjacent~side}{hypotenuse}=\frac{14\sqrt{2} }{21} =\frac{2\sqrt{2} }{3}$

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3 years ago

One of the factors of 4x^2-9 is (1)x+3 (2)2x+3 (3)4x-3 (4)x-3

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Answer:

$2x+3$

Step-by-step explanation:

$4x^2-9=(2x)^2 -3^2=(2x-3)(2x+3)$

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