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4 years ago

13

11/15-3/5 in fraction

1 answer:

Ket [755]4 years ago

8 0

Answer:

l.c.m of 15 and 5 is 15

next step is to equalize the denominator with the l.c.m value

11/15 is the same (same denominator)

3/5 will change to 9/15 (multiply numerator and denominator by 3 to equalize)

Lastly, you just need to subtract

11/15 - 9/15

2/15

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Answer:

The coordinate of the wells are

$(-4 -\sqrt[]{\frac{53}{2}}, 70+15\sqrt[]{\frac{53}{2}})$

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Step-by-step explanation:

The y coordinate of the stream is given by $y = 4x^2+17x-32$ . Also, the y coordinate of the houses are determined by y=-15x+10. We will assume that the houses are goint to be built on the exact position where we build the wells. We want to build the wells at the exat position in which both functions cross each other, so we have the following equation

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or equivalently

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Dividing by 2 on both sides, we get

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Recall that given the equation of the form $ax^2+bx+c=0$ the solutions are

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Taking a =2, b = 16 and c = -21, we get the solutions

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$x_2 = -4 +\sqrt[]{\frac{53}{2}}$

If we replace this values in any of the equations, we get

$y_1 = 70+15\sqrt[]{\frac{53}{2}}$

$y_2 = 70-15\sqrt[]{\frac{53}{2}}$

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