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Artist 52 [7]
3 years ago
15

Solve by factoring or finding square roots x^2-6x-7=0

Mathematics
2 answers:
uysha [10]3 years ago
7 0

Answer:

<h2>x = -1 or x = 7</h2>

Step-by-step explanation:

x^2-6x-7=0\\\\x^2+x-7x-7=0\\\\x(x+1)-7(x+1)=0\\\\(x+1)(x-7)=0\iff x+1=0\ \vee\ x-7=0\\\\x+1=0\qquad\text{subtract 1 from both sides}\\\bold{x=-1}\\\\x-7=0\qquad\text{add 7 to both sides}\\\bold{x=7}

Nata [24]3 years ago
7 0

Answer:

x = - 1, x = 7

Step-by-step explanation:

Given

x² - 6x - 7 = 0

Consider the factors of the constant term (- 7 ) which sum to give the coefficient of the x- term

The factors are - 7 and + 1, since

- 7 × 1 = - 7 and - 7 + 1 = - 6, hence

(x - 7)(x + 1) = 0

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 1 = 0 ⇒ x = - 1

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Answer: Choice A) 14^3

This is the same as writing 14^3

===================================================

Explanation:

Since all the sides are 14 feet long, we can basically say length = width = height = 14.

Or put another way:

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The volume of the cube is length*width*height = 14*14*14 = 14^3 = 2744 cubic feet.

-----------

The term 14^3 has a base of 14 and exponent of 3.

The base is what we multiply out while the exponent tells us how many copies of the base to multiply. In this problem, we have 3 copies of 14 being multiplied. So that's why 14^3 = 14*14*14

If you were to say something like 3^14, then you would have 14 copies of 3 multiplied out, which is a much larger value. So we'll cross choice B off the list.

Choice C isn't correct either since again we're using exponents and not multiplication to tie together the 14 and 3.

Choice D would be correct if your teacher wanted it in expanded form, instead of exponent form.

6 0
3 years ago
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Katarina [22]

Answer:

\dfrac{\pi}{10}.

Step-by-step explanation:

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\Rightarrow -\dfrac{19\pi}{10}+2(1)\pi

\Rightarrow -\dfrac{19\pi}{10}+2\pi

\Rightarrow \dfrac{-19\pi+20\pi}{10}

\Rightarrow \dfrac{1\pi}{10}

Since,  \dfrac{\pi}{10}  between 0 and 2π, therefore,  the required coterminal angle is \dfrac{\pi}{10}.

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Answer:

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Step-by-step explanation:

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