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2 years ago

describe how factoring a quadratic expression ax2 bx c, where a ≠ 1, is different from factoring x2 bx c.

1 answer:

4 0

Factoring a quadratic expression ax²+ bx+ c, where a ≠ 1, is different from factoring x²+ bx+ c as before factorizing make coefficient of x² =1 by dividing it by a.

As given,

Quadratic expression ax²+ bx+ c, where a ≠ 1

While factorizing above expression make coefficient of x² =1 divide it by a.

Quadratic expression x²+ bx+ c, already has coefficient of x² =1 , direct factorize it.

Therefore, quadratic expression ax²+ bx+ c, where a ≠ 1 before factorizing make coefficient of x² =1 by dividing it by a.

The complete question is:

Describe how factoring a quadratic expression ax²+ bx+ c, where a ≠ 1, is different from factoring x²+ bx+ c.

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PLEASE HELP NOW!<br> (-2, -4) and (-3, -3) in a linear equation

chubhunter [2.5K]

The linear equation is y = -x - 6

Step-by-step explanation:

To form a linear equation from two points lie on the line which the equation represented it

Find the slope of the line by using the formula $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
Then use the slope-intercept form of the equation y = m x + b
To find the value of b substitute x and y of the equation by the coordinates of one of the two given points

∵ Points (-2 , -4) and (-3 , -3) lie on the line

∴ $x_{1}$ = -2 and $x_{2}$ = -3

∴ $y_{1}$ = -4 and $y_{2}$ = -3

- Substitute these values in the formula of the slope

∵ $m=\frac{-3-(-4)}{-3-(-2)}=\frac{-3+4}{-3+2}=\frac{1}{-1}$

∴ m = -1

∵ The form of the equation is y = m x + b

∵ m = -1

∴ y = (-1) x + b

∴ y = -x + b

To find b substitute x and y in the equation by the coordinates of

point (-2 , -4) OR (-3 , -3)

∵ x = -3 and y = -3

∴ -3 = -(-3) + b

∴ -3 = 3 + b

- Subtract 3 from both sides

∴ -6 = b

∴ The equation is y = -x + (-6)

∴ y = -x - 6

The linear equation is y = -x - 6

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4 years ago

A ramp 17 1/2 feet in length rises to a loading platform that is 3 1/2 feet off the ground. Find the angle that the ramp makes w

faltersainse [42]

Answer:

The angle that the ramp makes with the ground is 11.54°

Step-by-step explanation:

From the image attached, we can see that the length of 17 1/2 ft corresponds to the hypotenuse in a right triangle, the length of 3 1/2 ft corresponds to the opposite side.

We can use the fact that the sin(θ) = $\frac{Opposite}{Hypotenuse}$ to find the angle that the ramp makes with the ground.