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3 years ago

14

What is a quadratic equation that can be solved 4 ways

1 answer:

Savatey [412]3 years ago

8 0

A quadratic equation is one that is in the form: ax² + bx + c = 0, where a, b and c are constants. Where x is the unknown.
The unknown solutions are 2.

4 Ways to solve the equation are:
i) Factorisation.
ii) Completing the Square Method.
iii) Quadratic Formula Method
iv) Trial and Error

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4 years ago

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GalinKa [24]

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17 would be the answer!

Step-by-step explanation:

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3 years ago

Factor 3x^3-24x^2+36x

Minchanka [31]

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3 years ago

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Illustra

Rainbow [258]

Answer:

$x = t$

$y = 1 - t$

$z = 2t$

Step-by-step explanation:

Given

$x=t$

$y=e^{-t}$

$z=2t-t^2$

(0, 1, 0)

The vector equation is given as:

$r(t) = (x,y,z)$

Substitute values for x, y and z

$r(t) = (t,\ e^{-t},\ 2t - t^2)$

Differentiate:

$r'(t) = (1,\ -e^{-t},\ 2 - 2t)$

The parametric value that corresponds to (0, 1, 0) is:

$t = 0$

Substitute 0 for t in r'(t)

$r'(t) = (1,\ -e^{-t},\ 2 - 2t)$

$r'(0) = (1,\ -e^{-0},\ 2 - 2*0)$

$r'(0) = (1,\ -1,\ 2 - 0)$

$r'(0) = (1,\ -1,\ 2)$

The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)

It should be noted that:

The equation of a line through position vector a and parallel to vector v is given as:

$r(t) = a + tv$

Such that:

$a = (0,1,0)$ and $v = r'(0) = (1,-1,2)$

The equation becomes:

$r(t) = (0,1,0) + t(1,-1,2)$

$r(t) = (0,1,0) + (t,-t,2t)$

$r(t) = (0+t,1-t,0+2t)$

$r(t) = (t,1-t,2t)$

By comparison:

$r(t) = (x,y,z)$ and $r(t) = (t,1-t,2t)$

The parametric equations for the tangent line are:

$x = t$

$y = 1 - t$

$z = 2t$

7 0

3 years ago

Ayo someone pls respond , I’ll give that brain god prize thing to you

eduard

Answer: Choice A

Explanation:

$\frac{h}{6}$ = quotient of h and 6

$\frac{h}{6}+7.8$ = 7.8 more than the quotient of h and 6

$\frac{h}{6}+7.8 = w$

The "is" often refers to "equals" in math translation problems like this.

Another example "h is 10" means "h = 10".

7 0

4 years ago