Well, the enlargement would be 3, because 15/5 is 3. So, the new measurements are no 9x15in.
1/16 of a pint because really there are 16 ounces in a one pint
Answer:
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Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
Take f(x) = -(x+9)(x-21) and multiply it out. We get:
f(x) = -[x^2 + 9x - 21x - 189], or
f(x) = -x^2 + 12x + 189
This is a quadratic equation. The coefficients are a = -1, b = 12 and c = 189.
The equation of the axis of symmetry is x = -b/(2a), which here equals:
x = -12 / [2*(-1)], or x = 6.
Explanation:
A "common denominator" is the least common multiple (LCM) of the denominators of the rational expressions involved. As such it can be found as the product of the unique factors of those denominators, each to its highest power.
For example, the common denominator for fractions with denominators of 20 and 25 will be 100. It can be found by considering the factors ...
20 = 2² × 5
25 = 5²
The unique factors here are 2 and 5, each with a highest power of 2. The product of these unique factors to their highest powers is ...
2²·5² = 4·25 = 100.
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Using this method of finding the LCM, it is essential that we know the factors of the numbers.
The LCM can also be found as the product of the numbers, divided by their greatest common factor (GCF). For this method, too, you need to know factors of the numbers involved--or, at least, the greatest common factor.
For the above example numbers, the GCF is 5, so their LCM is ...
20·25/5 = 500/5 = 100
