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nata0808 [166]
3 years ago
15

Which is a factor of 6x2 + x − 7?

Mathematics
2 answers:
kvv77 [185]3 years ago
6 0

Solution:

The Quadratic polynomial in variable x is :

→ 6 x² + x -7

Breaking the middle term i.e term containing  variable x

= 6 x² + 7 x - 6 x -7

= x ( 6 x +7) - 1 (6 x +7)

= (6 x + 7)(x-1)→→→Factor of 6 x² + x -7


ANEK [815]3 years ago
5 0
(x-1)(6x+7) will be the answer 
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If the length of each side of an equilateral triangle were increased by 50 percent, what would be the percent increase in the ar
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Answer:

<u><em>The area increase by 225%</em></u>

<em><u>Step-by-step explanation: </u></em>

<em><u>attachment of a triangle</u></em>

<em><u>The area of a triangle equilateral is calculated with the next formula:</u></em>

<em><u>A=\frac{a*h}{2}</u></em>

<em><u>h^{2} +(\frac{a}{2})^{2}=a^{2}</u></em>

<em><u>h^{2} = a^{2} - \frac{a^{2} }{4}= \frac{a^{2} }{4}*3</u></em>

<em><u>h=\sqrt{\frac{a^{2}*3 }{4} }</u></em>

<em><u>h=\frac{\sqrt{3}*a }{2}</u></em>

<em><u>replacing in the A equation:</u></em>

<em><u>A=\frac{a*\sqrt{3}*a }{2*2}</u></em>

<em><u>A=\frac{\sqrt{3}*a^{2} }{4}</u></em>

<em><u>Now each side increse by 50% ⇒ a=1.5a</u></em>

<em><u>A= \frac{\sqrt{3}*(1.5a)^{2} }{4}</u></em>

<em><u>A=\frac{\sqrt{3}*a^{2}* 2.25 }{4}</u></em>

<em><u>A=2.25 * \frac{\sqrt{3}*a^{2} }{4}</u></em>

<em><u>It means that the area incrase by 225%</u></em>

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Step-by-step explanation:


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Step-by-step explanation:

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