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stiks02 [169]
2 years ago
7

The binomial 5x – 4 is a factor of 10x2 – 23x + 12. What is the other factor?

Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
6 0
Method\ 1^o\\10x^2-23x+12=(5x-4)(ax+b)\\\\10x^2-23x+12=5ax^2+5bx-4ax-4b\\\\10x^2-23x+12=5ax^2+(5b-4a)x-4b\\\\therefore\\\\  \begin{array}{ccc}(1)\\(2)\\(3)\end{array}\left\{\begin{array}{ccc}5a=10\\5b-4a=-23\\-4b=12\end{array}\right\\\\(1)\ divide\ both\ sides\ by\ 5\to a=2\\(3)\ divide\ both\ sides\ by\ (-4)\to b=-3\\check\\subtitute\ the\ values\ of\ "a"\ and\ "b"\ to\ (2):\\5\cdot(-3)-4\cdot2=-15-8=-23\ /correct/\\\\Answer:\boxed{2x-3}


Method\ 2^o\\10x^2-23x+12=10x^2-8x-15x+12\\=2x\cdot5x-2x\cdot4-3\cdot5x-3\cdot(-4)\\=2x(5x-4)-3(5x-4)=(5x-4)\boxed{(2x-3)}
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irina [24]

The value of x in the triangle is 9.3

<h3>How to find the side x of a triangle?</h3>

The side x of a triangle can be found as follows:

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Therefore, corresponding sides of similar triangles are in the same ratios.

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7 0
1 year ago
A company sells a mix of peanuts and cashews. For every 3 ounces of peanuts, there are 2 ounces of cashews. A batch has 60 ounce
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3 0
2 years ago
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Shalnov [3]

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