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3 years ago

Estimate then answer the equation.

Mathematics

1 answer:

Inessa [10]3 years ago

6 0

Answer:

$7\frac{1}{4} -2\frac{5}{12} =\frac{58}{12} =4\frac{10}{12}$

Step-by-step explanation:

Given:

$7\frac{1}{4} =\frac{7\times 4 +1}{4}=\frac{29}{4}$

$2\frac{5}{12}=\frac{12\times 2+5}{12}=\frac{29}{12}$

To Find:

$7\frac{1}{4} -2\frac{5}{12} =?$

Solution

Substituting the above values we get

$7\frac{1}{4} -2\frac{5}{12} =\frac{29}{4} -\frac{29}{12}$

Now make both the denominator same by multiplying and dividing by 3 to the first term so we get

$7\frac{1}{4} -2\frac{5}{12} =\frac{29\times 3}{4\times 3} -\frac{29}{12}\\\\7\frac{1}{4} -2\frac{5}{12} =\frac{87}{12} -\frac{29}{12}\\\\7\frac{1}{4} -2\frac{5}{12} =\frac{87-29}{12}\\\\7\frac{1}{4} -2\frac{5}{12} =\frac{58}{12} =4\frac{10}{12}$

∴ $7\frac{1}{4} -2\frac{5}{12} =\frac{58}{12} =4\frac{10}{12}$

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Step-by-step explanation:

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now we replace with the known values

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3 years ago

1. How many real solutions does the quadratic equation x?+9x= -8 have?

likoan [24]

Answer:

This quadratic equation has 2 solutions.

Step-by-step explanation:

I assume the '?' in your question is meant to be power 2 (²), or else it would not be a quadratic equation. You could write it using the superscript version of 2.

We can solve this equation by expressing it in the form: ax² + bx + c

x² + 9x= -8

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In this case, you would not need the discriminant as there are whole-number factors and hence this can simply be factorised.

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(a)

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(b)

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$\displaystyle \frac{dy}{dx} = \frac{ dy/ d\theta}{ dx/ d\theta}$

For polar coordinates, x = rcosθ and y = rsinθ. Since
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