Simplify: 3x - 9 + 13x - 6
2 answers:
You can sum like terms. Two terms can be summed if they are both constants (i.e. pure numbers) or if they involve the same powers of the same variable.
In this case, 3x and 13x can be summed because they both involve 'x' alone. The sum is
As for the other two terms, you simply have to sum two numbers, as usual:
So, the final answer is
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Answer:
Step-by-step explanation:
Saving the long, drawn out derivation of the formulas to find the x and y coordinates of the directed point, suffice it to say that it is:
x coordinate: and
y coordinate:
where x1, x2, y1, and y2 are the coordinates from the given points and a and b are the numbers in the ratio, namely a = 3 and b = 4. Filling in accordingly:
the x coordinate of the directed point is
which simplifies down to -6, and
the y coordinate of the directed point is
which simplifies down to -1.
The coordinate of the point is (-6, -1). Write that down so you don't forget it.