Answer:
-2/3
Step-by-step explanation:
2x + 3y = - 3 re-arrange to y = mx+b form: slope of this line will be 'm'
y = -2/3 x -1 slope = -2/3 parallel slope is the same
The expression that is equal to 2022 by adding a set of parentheses is 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12).
<h3>How to solve a long-expression problem?</h3>
In mathematics, parentheses are used to group a set of mathematical terms. In a long-expression, like the one presented, using parenthesis implies:
- The terms in the parentheses are solved separately from those outside the parentheses.
- The terms in the parentheses are solved before solving those outside.
- Moving the parentheses will affect the result of the whole expression.
Based on this, the expression that equals 2022 is:
- 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12)
<h3>Let's solve it to prove this result</h3><h3 />
- 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12)
First, solve the parenthesis first by dividing and then by adding.
- 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (1 + 1)12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / 2
Now, let's solve this expression, the first step is to solve the multiplications.
Now, solve the division.
Finally, add everything.
- 1728 + 144 + 144 + 6 = 2022
Learn more about mathematics in: brainly.com/question/12083755
The number in the ones place is 1.
Answer:
Step-by-step explanation:
a) In 1.2 seconds, sound will travel a distance of ...
(1.2 s)(340 m/s) = 408 m
This is the round-trip distance, so the reflecting surface is half that distance away.
The other side of the canyon is 204 m away.
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b) In 5 seconds, the sound will travel a distance of ...
(5 s)(340 m/s) = 1700 m
This is the one-way distance, so the lightning is about 1700 m away.
28.26=4 * base base= 28.26/4=7.065
