The coordinates of the point where the passenger was dropped of is the point (-2, 2).
(1, -2) + (3, -1) = ((1 + 3), (-2 - 1)) = (4, -3)
(4, -3) + (-6, 5) = ((4 - 6), (-3 + 5)) = (-2, 2)
Answer:
Step-by-step explanation:
It is assumed PQS and RQS are similar triangles.
<u>The ratio of corresponding sides is equal:</u>
<u>Substitute side lengths and solve for x:</u>
- 15/(3x - 4) = 21/(5x - 16)
- 15(5x - 16) = 21(3x - 4)
- 5(5x - 16) = 7(3x - 4)
- 25x - 80 = 21x - 28
- 25x - 21x = 80 - 28
- 4x = 52
- x = 52/4
- x = 13
Option 2.
1. Simplify 7 + (12 - 9) + 7 × 3(8 - 5)
According to the Order of Operations, contents of parentheses are evaluated first. This gives
... 7 + 3 + 7 × 3 × 3
Then multiplication and division are performed left to right.
... = 7 + 3 + 21 × 3
... = 7 + 3 + 63
Followed by addition and subtraction left to right.
... = 10 + 63
... = 73
A Google search box can be relied upon to do the operations in the correct order.
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2. When the expression is rewritten, a different result is obtained. This is because the operations indicated by the second set of parentheses are altered.
... (7 + 12) - 9 + (7 × 3)8 - 5
... = 19 - 9 + 21 × 8 - 5
... = 19 - 9 + 168 - 5
... = 10 + 168 - 5
... = 178 - 5
... = 173
In the first expression, both +8 and -5 are multiplied by 21. In the rewritten expression, only +8 is multiplied by 21.