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dexar [7]
4 years ago
12

Can you solve the last one

Mathematics
1 answer:
Anettt [7]4 years ago
3 0

Hello!

In this problem, we will need to know our properties of exponents.

When we multiply two exponents, for example 10^3 × 10^-1, we will need to add the powers together. So, 10^3 × 10^-1 = 10^2 or 100.

With this, we can multiply the two constants together, and the exponents together to find our quotient.

(8.2 × 10^-6) × (9.4 × 10^-3) (rearrange the expression)

8.2 × 9.4 × 10^-6 × 10^-3 (multiply)

77.08 × 10^-9

If you wanted your answer to be in scientific notation, move the decimal place in 77.08 one place to the left, leaving you with 7.708 × 10^-8.

Therefore, your final answer is 7.708 × 10^-8.

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A DEF has vertices D(-5,-1), E (3, 3), and F (1,-5). Find the equation of the altitude through F in
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Answer:

y = -2x -3

Step-by-step explanation:

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- find slope of line DE

D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)

slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2

-find equation of the altitude trough F

lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)

y= -2x +b , for point F(1, -5)

-5 = -2*1 +b, add 2 to both sides

-5 +2 = b, combine like terms

-3 =b

equation of the altitude trough F is y = -2x -3

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Step-by-step explanation:

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That’s the answer:)!

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