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3 years ago

Please help me!! Find the area of each triangle (A-D). Show your reasoning.

Mathematics

1 answer:

Anestetic [448]3 years ago

3 0

Answer:

Multiply

Step-by-step explanation:

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The proof for the product property of logarithms requires simplifying the expression logb(bx y) to x y. Which property is used t

masya89 [10]

You can use the properties of logarithm to derive the simplified form of the given expression.

The simplification of the given expression requires the given below properties of logarithm

$log_a(b^c) = c \times log_a(b)\\\\$
$log_b(b) = 1$

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

$a^b = c$

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

$b = log_a(c)$

Some properties of logarithm are:

$log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(b^c) = c \times log_a(b)\\\\log_b(b) = 1$

<h3>Using the above properties, to get to the simplified form of the given expression</h3>

The given expression is

$log_b(b^{x+y})$

Using the property $log_a(b^c) = c \times log_a(b)\\\\$ , we get

$log_b(b^{x+y}) = (x+y)\times log_b(b)$

Using the property $log_b(b) = 1$ , we get

$log_b(b^{x+y}) = (x+y)\times log_b(b) = (x+y) \times 1 = x + y$

Thus,

The simplification of the given expression requires the given below properties of logarithm

$log_a(b^c) = c \times log_a(b)\\\\$
$log_b(b) = 1$

Learn more about logarithms here:

brainly.com/question/20835449

3 0

2 years ago

Read 2 more answers

Solve for x: <br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B12%7D%20-%206%3D-5" id="TexFormula1" title="\frac{x}{12} -

Elenna [48]

Answer: X = 12
____________

4 0

3 years ago

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Twice the difference of x and 6 is greater than the reciprocal of 2.

o-na [289]

Answer:

x > 25/4

Step-by-step explanation:

2(x - 6) > 1/2

4x - 24 > 1

4x > 25

x > 25/4

4 0

2 years ago

If a = b and b = c, which statement must be true?

torisob [31]

Answer:

a=c

Step-by-step explanation:

This is because of the transitive property; which states that if a=b and b=c, then a=c.

7 0

3 years ago

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A car is traveling along a test track in the desert at a constant rate of 85 feet per second The test track has a length of 10,0

jeyben [28]

Answer:

foot marker 320 at t=0

Step-by-step explanation:

8 sec x 85 ft/s =680 ft

1,000ft - 680 ft = 320 ft

4 0

2 years ago