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Iteru [2.4K]
3 years ago
9

What is the exponential form of log5 9 = x? x^9 = 5 5^x = 9 x^5 = 9 9^x = 5

Mathematics
1 answer:
Harrizon [31]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Using the rule of logarithms

log_{b} x = n ⇔ x = b^{n}

Hence

log_{5} 9 = x ⇒ 9 = 5^{x} → B

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Julie will build a rectangular pen for her dog against a barn. A wall from the barn will form one side of the pen. She has 32 m
MAXImum [283]

Answer:

<h3> The width (side perpedicular to the barn):  <u>x = 8 m</u></h3><h3>      The lenght (side parallel to the barn):  <u>y = 16 m</u> </h3>

Step-by-step explanation:

x  - the width of the barn

She has 32 m of fencing so for the lenght remain (32-2x) m of fencing:

y = 32 - 2x

Area of the fencing:  A = x•y

A(x) = x•(32 - 2x)

A(x) = -2x² + 32x             ←  quadratic function

The maximum value of quadratic function occurs at:  x=-\frac b{2a}

a = -2,  b = 32

x=-\frac b{2a}=-\frac{32}{2\cdot(-2)}=-(-8)=8

32-2x = 32 - 2•8 = 16

4 0
3 years ago
Use a calculator to find the missing side length. Tell whether the side lengths form a Pythagorean Triple.
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How to round to the naerst 10?
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