Answers:
Step 1 is distributive property
Step 2 is distributive property (again)
Step 3 is commutative property
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Explanation:
The distributive property is the idea of multiplying the outer value by each inside value in the parenthesis. In general, the rule is a*(b+c) = a*b+a*c. We have the outer term 'a' multiplied by each inner term b and c. Then we add the products. The distributive property is used twice to multiply the two binomials. Your teacher and/or book may refer to it as the FOIL rule. FOIL stands for "first, outer, inner, last" which is a handy way to remember the order in how to multiply binomials.
The commutative property is the idea of adding or multiplying two values in any order we want. In this case, we're focusing on adding. This allows us to swap the terms to go from -5y^2+9x^2 to 9x^2+(-5y^2) = 9x^2-5y^2
400 / 10 = 40
so every 1 inch = 40 feet
3.125 * 40 = 125 feet between the exhibits
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Answer:
80
Step-by-step explanation:
Answer:
(-3, -2)
Step-by-step explanation:
Look at the second equation, we can easily rearrange it to make x the subject.
x - 4y = 5
x = 4y + 5
Now lets put that into the second equation
2x - 2y = -2
2(4y + 5) - 2y = -2
6y + 10 = -2
6y = -12
y = -2
Now lets find x!
x = 4y + 5
x = 4(-2) + 5
x = -3
Now lets format the answer like the question says (ordered pair)
(-3, -2)
Recap: We used substitution and made an equation to work out one of the variables first, then found the second variable using the first.
Answer will be: y=7/3+2x/3