Simplify. Show your work. 13 +- 3918
1 answer:
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Answer:
<u><em>A</em></u>
Step-by-step explanation:
<u>a)</u>
<u></u><u></u>
<u>8(9) / 9 = 8 x 7 = 56</u>
b)
2(9) * 3 - 12
18 * 3 = 54 - 12 = 42
c)
4(9) - 18 + 12
36 - 18 = 18 + 12 = 30
d)
21 + 24 = 45
y = x + 3
The equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange - 2x + 3y = 9 into this form
add 2x to both sides
3y = 2x + 9 ( divide all terms by 3 )
y = x + 3 ← in slope-intercept form
The statement that does not match the others is the one at lower right.
_____
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
___
Since the two left selections match the one at upper right, the odd one is the one at lower left.
