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RUDIKE [14]
3 years ago
12

What is log7 12+log7m-log7n?

Mathematics
1 answer:
rusak2 [61]3 years ago
6 0

Hello!

\large\boxed{\log_{7}{(\frac{12m}{n}})}

Use the log properties to simplify:

log (a) + log (b) = log (a · b)

log (a) - log (b) = log (a ÷ b)

Therefore:

log_{7}12 + log_{7}m - log_{7}n\\\\= log_{7}(12 * m / n}\\\\log_{7}{(\frac{12m}{n}})

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Reduce to lowest term. 2x^2- 18/x^2+4x-21​
Dovator [93]

Answer:

\frac{2(x+3)}{x+7}

Step-by-step explanation:

Given

\frac{2x^2-18}{x^2+4x-21} ← factorise numerator and denominator

2x² - 18 ( factor out 2 from each term )

= 2(x² - 9) ← difference of 2 squares

= 2(x - 3)(x + 3)

and

x² + 4x - 21 = (x + 7)(x - 3) , then

= \frac{2(x-3)(x+3)}{(x+7)(x-3)} ← cancel common factor (x - 3) on numerator/ denominator

= \frac{2(x+3)}{x+7}

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3 years ago
Sharon's organization Hope's to raise more than $10,000 at their annual 5k race.
hram777 [196]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
The measure of angle 0 is 7pie the measure is ___° and sin0 is ____.
maria [59]
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5 0
3 years ago
18. The area of a right triangle is 30 cm². The length
Olenka [21]

Answer:

12

Step-by-step explanation:

The area of a triangle is calculated with the following formula:

\frac{1}{2} *b*h (b: base, h: height (or legs))

We can use this formula to find the length of the other leg:

30 = \frac{1}{2} *b*h multiply both sides with 2 to get rid of fraction

60 = b*h one of the leg's length is given as 5 so

60 = 5*h divide both sides by 5

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8 0
2 years ago
I need the description of how to draw a parallel line and a perpendicular line.
EleoNora [17]
How to Draw Parallel Lines:
1. Draw a straight line any length

2. Draw another straight line any length

(note : ensure the lines will never intersect)

They shall never horizontally or vertically.

How to Draw Perpendicular Lines:
1. Draw a straight line vertically

2. Draw a straight line horizontally

(note : length does not necessarily matter)

The two lines must cross at right angles to each other!!

With the parallel line instructions, simply just draw lines but, when given the slopes of two lines, you must get graphing paper or make your own, and graph it by plotting points and then getting a ruler and tracing it.

With the perpendicular lines it helps with showing a relation between situations along with given slopes. They shall intersect always and meet at a 90° angle. Use the equations and plot them then take a ruler and trace them and notice the intersection. Solve it yourself and see that the intersection and the answers you got are the same.
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3 years ago
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