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densk [106]
3 years ago
15

Match each equation to its factorized version and solution.

Mathematics
1 answer:
bagirrra123 [75]3 years ago
5 0

Answer:

24x -{6x}^{2}  = 0 \: matches \: with \: 6x(4 - x) \: and \: the \: solution \: x = 0 \ \: or \:  \: x = 4

2 {x}^{2}  + 6x = 0 \: matches \: with \: 2x(x + 3) = 0 \: and \: the \: solution \: x = 0 \: or \: x =  - 3

4x -  {x}^{2}  = 0 \: matches \: with \: x(4 - x) = 0 \: and \: the \: solution \: x = 0 \: or \: x = 4

14x -  {7x}^{2}  = 0 \: matches \: with \: 7x(2 - x) = 0 \: and \: the \: solution \: x = 0 \: or \: x = 2

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Veseljchak [2.6K]
For lines to be perpendicular they would need to have opposite slopes, so for a slope of -3/7 the slope of a perpendicular line would be 7/3
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4 years ago
24<br> ,<br> Factor:<br> x²-9<br> A<br> (x + 3XX-3)<br> B<br> (x+3)2<br> с<br> (x-3)<br> (x+3)(x+3)
Katarina [22]

Answer:

(x-3)(x+3)

Step-by-step explanation:

We are given the expression \displaystyle \large{x^2-9}:—

To factor this expression, we have a formula for it which is <u>difference of two squares</u>:—

\displaystyle \large{a^2-b^2=(a+b)(a-b)}

You can also swap from \displaystyle \large{(a+b)(a-b)} to \displaystyle \large{(a-b)(a+b)} via multiplication property.

From the expression, factor using the formula above:—

\displaystyle \large{x^2-9=(x^2)-(3)^2}\\\displaystyle \large{x^2-9=(x-3)(x+3)}

Therefore, the factored expression is:—

\displaystyle \large{\boxed{(x-3)(x+3)}}

__________________________________________________________

If you have any questions regarding the problem or need clarification of my answer/explanation, do not hesitate to ask in comment!

5 0
2 years ago
How to derive: f(w)=ln(cos(w-1))
postnew [5]
The word you're looking for is "differentiate", not "derive".

\dfrac{\mathrm d}{\mathrm dw}\ln(\cos(w-1))=\dfrac{\frac{\mathrm d}{\mathrm dw}\cos(w-1)}{\cos(w-1)}=\dfrac{-\sin(w-1)\frac{\mathrm d}{\mathrm dw}(w-1)}{\cos(w-1)}=-\dfrac{\sin(w-1)}{\cos(w-1)}=-\tan(w-1)
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4 years ago
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Answer:

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Step-by-step explanation:

Puedes viajar con $15 porque gastaste 5 en la tarifa base. 15 dividido por 2,5 es 6, por lo que puedes viajar 6 kilómetros con $20.

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Diano4ka-milaya [45]

Answer:

1 3/5

Step-by-step explanation:

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3 years ago
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