Distributive Property (a+8)(a-3)=
1 answer:
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The statement that does not match the others is the one at lower right.
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The barn's volume can be decomposed into a rectangular prism and a triangular one. Thus the <em>upper right</em> expression is a true represenation of the barn's volume:
... Volume of triangular prism + Volume of rectangular prism
The volume of a <em>rectangular prism</em> is the product of its dimensions. The dimensions of the rectangular prism portion of the barn's volume are a, b, c, so the volume of that portion is ...
... Volume of rectangular prism = a·b·c
The volume of a <em>triangular prism</em> is the area of the triangular base multiplied by the length of the prism. Here, the triangular base has base dimension b and height (d-c), so its area is ...
... Area of triangular barn end = (1/2)b(d-c)
Since the length of the barn is "a", the volume of the triangular prism is ...
... Volume of triangular prism = (1/2)b(d-c)a = (1/2)·a·b·(d-c)
The <em>total volume</em> is the sum of the volumes of the parts ...
... a·b·c + (1/2)·a·b·(d-c) . . . . . . matches the <em>upper right</em> selection
This can be factored by removing a·b to outside parentheses:
... a·b·((1/2)·(d-c) + c) . . . . . . . . . matches the <em>lower left</em> selection
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Since the two left selections match the one at upper right, the odd one is the one at lower left.
Answer:
a. From the origin, move back 3 units and down 4 units
Step-by-step explanation:
Given:
The coordinates of a point in a 3-dimensional space is given as:
(-3, -4, 0)
The value of 'x' = -3
The value of 'y' = -4
The value of 'z' = 0
At the origin, the values of 'x', 'y', and 'z' are each equal to 0.
So, the coordinates of origin is (0, 0, 0). In order to reach the point (-3, -4, 0) from the point (0, 0, 0), we don't move along the z-axis as the 'z' value remains the same. We need to move along the 'x' and 'y' directions only.
Now, 'x' is equal to -3. Negative values of 'x' occur backwards from origin. So, we move back by 3 units. to reach the point (-3, 0).
Now, the value of 'y' is -4. Negative values of 'y' occur below the origin. So, we move down by 4 units to reach the point (-3, -4).
Therefore, the correct option is option (a)
A graph in 2 dimensional is shown in support of the answer.
