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3 years ago

Explain how to use properties to prove d + (8d + 1) + 7 is equivalent to 8 + 9d.

Mathematics

2 answers:

meriva3 years ago

8 0

Answer:

Use the associative property to move the parentheses, and the expression becomes (d + 8d) + 1 + 7. Combine like terms, and the expression becomes 9d +8. Use the commutative property to change the order of the terms, and the expression becomes 8 + 9d.

Step-by-step explanation:

vekshin13 years ago

6 0

Answer:

Exact response: Use the associative property to move the parentheses, and the expression becomes (d + 8d) + 1 + 7. Combine like terms, and the expression becomes 9d +8. Use the commutative property to change the order of the terms, and the expression becomes 8 + 9d.

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3. Look at the picture.

We have the right angle triangle. We know the sum of measures of angles in triangle is equal 180°. Therefore:

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$Answer:\ \boxed{47^o}$

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TRUE: 1; 2; 4

6.
We find a slope of the line OP:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\O(2;\ 6)\to x_1=2;\ y_1=6\\\\P(4;\ 3)\to x_2=4;\ y_2=3\\\\m=\dfrac{3-6}{4-2}=\dfrac{-3}{2}$

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$Answer:\ \boxed{y=\dfrac{2}{3}x+\dfrac{1}{3}}$

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