On a movie set, an archway is modeled by the equation y = -0.5x2 + 3x, where y is the height in feet and x is the horizontal dis
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Answer:
(-3, 3),
Step-by-step explanation:
I'm assuming this is a vector problem. See the graph for the vector from Y to Z (the tail is at point Y, the head is at point Z).
This vector is equivalent to one which is the same length and in the same direction with its tail at the origin. That vector's head is at (-3, 3) -- the blue one.
To get that, subtract the tail of the original vector from the head of the original vector.
(0, 4) - (3, 1) = (0 - 3, 4 - 1) = (-3, 3)
The magnitude of the blue vector is its length. Use the Distance Formula.
This simplifies to
The integers are 12, 14.
Solution:
Let the even consecutive integers be x and x + 2.
Lesser number = x and Greater number = x + 2
Lesser number = Half of greater number + 5
To add the numbers, denominators must be same. So multiply 5 by .
Multiply by 2 on both sides, we get
⇒ 2x = x + 12
Subtract x from both sides.
⇒ x = 12
Lesser number = 12
Greater number = 12 + 2 = 14
Hence the integers are 12, 14.