Trapezoid EFGH ~ trapezoid MNOP. Find the value of y. answers in the picture

3. Solve 2log4y - log4 (5y - 12) = 1/2

Ilia_Sergeevich [38]

Answer:

y = 4 or y = 6

Step-by-step explanation:

2log4y - log4 (5y - 12) = 1/2

2log_4(y) - log_4(5y-12) = log_4(2) apply law of logarithms

log_4(y^2) + log_4(1/(5y-12)) = log_4(/2) apply law of logarithms

log_4(y^2/(5y-12)) = log_4(2) remove logarithm

y^2/(5y-12) = 2 cross multiply

y^2 = 10y-24 rearrange and factor

y^2 - 10y + 24 = 0

(y-4)(y-6) = 0

y= 4 or y=6

4 0

3 years ago

What is −300 ÷ (−13) = and how would i write out this problem to solve?

never [62]

Answer:

23 1/13

Step-by-step explanation:

You have done a pretty good job of writing the problem, negative 300 divided by negative thirteen. It can be translated directly to your favorite calculator (see attachment) for a solution.

If you want to perform the division by hand, the particular method of writing the problem depends on the method of division you want to use. (Several styles are taught these days). Numerous web sites and videos explain long division in all its detail. The second attachment shows an example where a decimal fraction result is obtained. The decimal fraction is an infinite repeating decimal with a 6-digit repeat.

For starters, you would generally convert both numbers to positive numbers, since the result of 300/13 is the same as the result of -300/-13 and positive numbers are easier to deal with.

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Comment on symbols

(The symbol ÷ generally means the same thing as the symbol /. Both mean "divided by". In some cases, the symbol ÷ is given the meaning "everything to the left of it divided by everything to the right of it." This is often the case when it is used as part of a compound fraction: 3/5÷4/3, for example. The preferred representation of such a division is (3/5)/(4/3), with parentheses clearly identifying numerators and denominators.)