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3 years ago

It’s just #14 & #15, HELLOOOOOOOOOOO BEUTIFULLL CAN U HELP!?

Mathematics

1 answer:

Vsevolod [243]3 years ago

5 0

Answer:

14) 29.7

15) Longer leg= 12.1

Hypotenuse=14

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A class has 6 boys and 15 girls. what is the ratio of boys to girls

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Answer: 6:15

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2 years ago

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Is (-4,4) the solution of the system. 4x+5y>-6 and -2x+7y>20

nikklg [1K]

Answer:

It is <em>a</em> solution, one of an infinite number of solutions.

Step-by-step explanation:

You can check to see if the given point is in the solution set:

4(-4) +5(4) = -16 +20 = 4 > -6 . . . . yes

-2(-4) +7(4) = 8 +28 = 36 > 20 . . . yes

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3 years ago

Which expression is equal to 5^4⋅5^8 ? 512 54 52 5−4

KiRa [710]

Answer is 5^12 which is choice A (assuming you meant to put the ^ symbol)

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So, 5^4*5^8 = 5^(4+8) = 5^12

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3 years ago

8-x+4-2-8x= What does x equal

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3 years ago

Expand using the properties and rules for logarithms

malfutka [58]

Consider expression $\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right).$

1. Use property

$\log_a\dfrac{b}{c}=\log_ab-\log_ac.$

Then

$\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3x^2-\log_{\frac{1}{2}}2.$

2. Use property

$\log_abc=\log_ab+\log_ac.$

Then

$\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3x^2-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+\log_{\frac{1}{2}}x^2-\log_{\frac{1}{2}}2.$

3. Use property

$\log_ab^k=k\log_ab.$

Then

$\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3+\log_{\frac{1}{2}}x^2-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{\frac{1}{2}}2.$

4. Use property

$\log_{a^k}b=\dfrac{1}{k}\log_ab.$

Then

$\log_{\frac{1}{2}}\left(\dfrac{3x^2}{2}\right)=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{\frac{1}{2}}2=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x-\log_{2^{-1}}2=\\ \\=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x+\log_22=\log_{\frac{1}{2}}3+2\log_{\frac{1}{2}}x+1.$

Answer: correct option is B.

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3 years ago