A truck is carrying 10 3 bushels of apples, 10 2 bushels of grapes, and 10 1 bushels of oranges. Each bushel of apples weighs
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Answer:
The component form of the vector P'P is
Step-by-step explanation:
The component form of the vector that translates P(4, 5) to P'(-3, 7), is given as follows;
The x-component of the vector = The difference in the x-values of the point P' and the point P = -3 - 4 = -7
The y-component of the vector = The difference in the y-values of the point P' and the point P = 7 - 5 = 2
The component form of the vector P'P =
Let's start by tidying up that equation and put it into slope-intercept form (y = mx + b); from there, we can plug in coordinates.
Let's use the distributive property on the right side:
Now add 4 to both sides
Which simplifies to:
Since that's the equation of our line, now we can plug in coordinates and see what it churns out.
We know that the x-coordinate of P = 4 so let's substitute 4 in for x and calculate the y-coordinate:
So the y-coordinate for point P = 10
Let's use the distributive property on the right side:
Now add 4 to both sides
Which simplifies to:
Since that's the equation of our line, now we can plug in coordinates and see what it churns out.
We know that the x-coordinate of P = 4 so let's substitute 4 in for x and calculate the y-coordinate:
So the y-coordinate for point P = 10