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3 years ago

Could someone please help me with this question

Mathematics

2 answers:

bogdanovich [222]3 years ago

3 0

Answer:

10 units

Step-by-step explanation:

Area of a triangle is $\frac{h*b}{2}$ = Area

where h is the height, and b is the base

We can substitute these values into the area equation and get:

$\frac{x*10}{2} = 50$

Multiply both sides by 2:

x * 10 = 100

Divide both sides by 10:

x = 10

The missing side is 10 units long

spin [16.1K]3 years ago

3 0

2 wjshsgshe shsbshs shave

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Which table represents the graph of a logarithmic function in the form y=log3x when b>1?

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Answer:

The satisfied table of the given function $y = log_{b} (x)$

x 1/8 1/4 1/2 1 2

y -3 -2 -1 0 1

Step-by-step explanation:

Explanation :-

Given logarithmic function $y = log_{b} (x)$ if b >1

Given first table

put x = $\frac{1}{8}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{8} )$

$y = log_{2} (2^{-3} )$

we will apply logarithmic formula

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$y = log_{2} (2^{-3} ) = -3 log_{2} (2) = -3 (1) = -3$

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ii)

put x = $\frac{1}{4}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{4} )$

$y = log_{2} (2^{-2} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-2} ) = -2 log_{2} (2) = -2 (1) = -2$

y = -2

iii)

put x = $\frac{1}{2}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{2} )$

$y = log_{2} (2^{-1} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-1} ) = -1 log_{2} (2) = - (1) = -1$

y = -1

iv)

put x = 1 given b > 1 so we can choose b = 2

$y = log_{2} (1 )$ = 0

y = 0

v)

put x = $2$ given b > 1 so we can choose b = 2

$y = log_{2} (2 )$

y = 1

Final answer:-

The satisfied table of the given function

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