Find the solution to the system of equations y=−7x+3y=−x−3
1 answer:
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Answer:
three consecutive odd integers are.
Step-by-step explanation:
Let x be the first term of odd integer,
Therefore, the second consecutive odd integers =
Similarly, the third consecutive odd integers =
Given:
The sum of the first term and second term is 344.
first term + second term = 344
Here first term is x and second term is .
Therefore, the first odd integers is 171.
And the second consecutive odd integers =
Similarly, the third consecutive odd integers =
Answer:
30
Step-by-step explanation:
This problem can be done without the Distance Formula (which is a way to find the distance between any two points in the plane).
The attached image shows the points and segments joining them.
PQ = 5 because the points are on the same horizontal line, and you can count spaces between them (or subtract x-coordinates: 4 - (-1) = 5).
PR = 12 because the points are on the same vertical line; count spaces or subtract y-coordinates, 7 - (-5) = 12.
The triangle is a right triangle, so the Pythagorean Theorem can be used to find the length of the hypotenuse.
The perimeter of the triangle is 5 + 12 + 13 = 30
