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3 years ago

Which equation represents a line that passes through (-9,-3) and has a slope of -6?

Mathematics

1 answer:

zmey [24]3 years ago

4 0

Answer: y=-6x-57

Step-by-step explanation: the normal format of a linear equation is

y=(slope)x+y intercept. The slope is -6 so y=-6x+y intercept. Plugging in the cordinates, -3=-9(-6)+y intercept. We'll call the y intercept b. -3=54+b. Subtract 54 from both sides of the equation and you get b=-54. The linear equation is

y=-6x-57.

You can check by plugging in x= -9, and y= -3. -3=54-57. -3=-3

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umka2103 [35]

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4 hours to pay the same amount

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Step-by-step explanation:

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3 years ago

one x-intercept for a parabola is at the point (2, 0). use the quadratic formula to find the other x-intercept for the parabola

omeli [17]

Answer:

Step-by-step explanation:

There are 3 ways to find the other x intercept.

1) Polynomial Long Division.

Divide x^2 - 3x + 2 by the binomial x - 2, because by the Factor Theorem if a is a root of a polynomial then x - a is a factor of said polynomial.

2) Just solving for x when y = 0, by using the quadratic formula.

$x^2 - 3x + 2 = 0\\x_{12} = \frac{3 \pm \sqrt{9 - 4(1)(2)}}{2} = \frac{3 \pm 1}{2} = 2, 1$ .

So the other x - intercept is at (1, 0)

3) Using Vietta's Theorem regarding the solutions of a quadratic

Namely, the sum of the solutions of a quadratic equation is equal to the quotient between the negative coefficient of the linear term divided by the coefficient of the quadratic term.

$x_1 + x_2 = \frac{-b}{a}$

And the product between the solutions of a quadratic equation is just the quotient between the constant term and the coefficient of the quadratic term.

$x_1 \cdot x_2 = \frac{c}{a}$

These relations between the solutions give us a brief idea of what the solutions should be like.

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3 years ago

The lengths of two sides of a triangle are 4 cm 4 cm and 20 cm . 20 cm. Identify the correct pair of measures between which the

Gennadij [26K]

Answer:

I think what you meant to say is "If a triangle has 2 sides that are 4 cm and 20 cm, what are the possible lengths of the third side?"

Basically, when given 2 sides of a triangle, the third side must be GREATER than the DIFFERENCE of the other 2 sides and LESS than the SUM of the other 2 sides.

difference = 16 cm

sum = 24 cm

So, the third side must be greater than 16 cm and less than 24 cm

Step-by-step explanation:

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3 years ago

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dolphi86 [110]

Answer: hmmm we might need more info my friend

Step-by-step explanation:

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