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3 years ago

Help Will give Brainlist :))).

Mathematics

1 answer:

Mandarinka [93]3 years ago

5 0

$10,250

thanks me later, pa brainliest po ako

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Condense the following logs into a single log:

mamaluj [8]

QUESTION 1

The given logarithm is

$8\log_g(x)+5\log_g(y)$

We apply the power rule of logarithms; $n\log_a(m)=\log_(m^n)$

$=\log_g(x^8)+\log_g(y^5)$

We now apply the product rule of logarithm;

$\log_a(m)+\log_a(n)=\log_a(mn)$

$=\log_g(x^8y^5)$

QUESTION 2

The given logarithm is

$8\log_5(x)+\frac{3}{4}\log_5(y)-5\log_5(z)$

We apply the power rule of logarithm to get;

$=\log_5(x^8)+\log_5(y^{\frac{3}{4}})-\log_5(z^5)$

We apply the product to obtain;

$=\log_5(x^8\times y^{\frac{3}{4}})-\log_5(z^5)$

We apply the quotient rule; $\log_a(m)-\log_a(n)=\log_a(\frac{m}{n} )$

$=\log_5(\frac{x^8\times y^{\frac{3}{4}}}{z^5})$

$=\log_5(\frac{x^8 \sqrt[4]{y^3} }{z^5})$

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3 years ago

What is the exact value of sin pi/12

Step2247 [10]

Answer:

hey,see the attachment

excuse for poor quality chalk

it isnt bright

4 0

3 years ago

Which table represents a nonlinear function? Help please!

erma4kov [3.2K]

The second one or the middle table mark Brainliest please

5 0

3 years ago

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Which statement can be used to prove that a given parallelogram is a rectangle?

Thepotemich [5.8K]

Diagonals of the parallelogram are congruent.

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3 years ago

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HELP i need the answer 20 POINTS

sergeinik [125]

Answer:

y = -1/4(x +4)² +4

Step-by-step explanation:

The equation of a parabola with focus (a, b) and directrix y=d can be written using the form ...

y = 1/(2(b-d))(x -a)² +(b+d)/2

<h3>Application</h3>

We are given (a, b) = (-4, 3) and d=5. Using these values in the above form gives the equation ...

y = 1/(2(3-5))(x -(-4))² +(3+5)/2

y = -1/4(x +4)² +4

3 0

2 years ago