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3 years ago

7

Factor the expression completely: 2x² + 5x - 12

2 answers:

Finger [1]3 years ago

7 0

Using the slip and slide method:

2x^2+5x-12
x^2+5x-24
(x+8)(x-3)

(x+8/2)(x-3/2)
(x+4)(2x-3)

Final answer: (2x-3)(x+4)

EastWind [94]3 years ago

6 0

See attached picture for the answer:

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Finger [1]

Answer:

x = ± $\sqrt{\frac{b^{2} -4ac}{2a}$

It didn't insert but just look up the quadratic formula.

x = ± root [(b²-4ac]/2a]

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2 years ago

A square and a circle intersect so that each side of the square contains a chord of the circle equal in length to the radius of

krek1111 [17]

Answer:

Step-by-step explanation:

it is given that Square contains a chord of of the circle equal to the radius thus from diagram

$QR=chord =radius =R$

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Thus $QO=\frac{R}{2}=RO$

In triangle PQO applying Pythagoras theorem

$(PQ)^2=(PO)^2+(QO)^2$

$PO=\sqrt{(PQ)^2-(QO)^2}$

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3 years ago

What is 5x5x3x5x3x2 simplified using exponents

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Step-by-step explanation:

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3 years ago

(2x+4)^2 - (x-5)^2 = 26x<br> Please solve (explained)

Zina [86]

Expand the squared binomials:

$(2x+4)^2=4x^2+16x+16$

$(x-5)^2=x^2-10x+25$

Then

$(4x^2+16x+16)-(x^2-10x+25)=3x^2+26x-9=26x$

$\implies3x^2-9=0$

$\implies3x^2=9$

$\implies x^2=3$

$\implies x=\pm\sqrt3$

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3 years ago