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3 years ago

Looking to Calculate the rise and run to find the slope of each line !

Mathematics

1 answer:

maxonik [38]3 years ago

3 0

Answer:

1.slope = 4/2x 2.slope= -5/4x 3.slope=7/5x

Step-by-step explanation:

Have a great night

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Please help with 15, 17 and 19

Irina-Kira [14]

Given:

15. $\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)$

17. $\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)$

19. $2^{\log_2100}$

To find:

The values of the given logarithms by using the properties of logarithms.

Solution:

15. We have,

$\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)$

Using property of logarithms, we get

$\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)=1$ $[\because \log_aa=1]$

Therefore, the value of $\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)$ is 1.

17. We have,

$\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)$

Using properties of logarithms, we get

$\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-\log_{\frac{3}{4}}\left(\dfrac{3}{4}\right)$ $[\because \log_a\dfrac{m}{n}=-\log_a\dfrac{n}{m}]$

$\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-1$ $[\because \log_aa=1]$

Therefore, the value of $\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)$ is -1.

19. We have,

$2^{\log_2100}$

Using property of logarithms, we get

$2^{\log_2100}=100$ $[\because a^{\log_ax}=x]$

Therefore, the value of $2^{\log_2100}$ is 100.

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3 years ago

Dustin bought 3 shirts and a belt. Each shirt cost the same amount of money, and the belt cost $22.50. If the total amount Dusti

Dvinal [7]

3x+22.5 = 69.75
-22.5 -22.5

3x = 47.25
/3 /3

x = 15.75

The price of each shirt before tax is $15.75

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3 years ago

Gillian purchased 25 books at the library book sale. Each hardcover book cost $1.50, and each paperback book cost $0.50. Gillian

aev [14]

Answer: The answer is 11 (A)

Step-by-step explanation:

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3 years ago

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If √3 = 1.73 to 2 dp, find the value of 4/√3 to 2 dp

Mashutka [201]

Answer:2.31

Step-by-step explanation: considering that the root of 3 has already been given. Will just divide 4 by the root of 3 which is 1.73. and the answer it gives is 2.31

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3 years ago

Display how you could never a measurement given into ounces into pints

disa [49]

There is allways 4 ounces in 1 pint.

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