Explanation:
When the points are plotted on a graph, it is easy to see that the slope of AC is -2 and the slope of BC is 1/2. These slope values have a product of -1, so the corresponding line segments are perpendicular to each other.
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If you have studied vectors, you can find the dot product of AC with BC:
AC = (-5, 3) -(-2, -3) = (-3, 6)
BC = (6, 1) -(-2, -3) = (8, 4)
The dot product is ...
(-3, 6)·(8, 4) = (-3)(8) + (6)(4) = -24+24 = 0
When the dot product of vectors is zero, they are perpendicular.
The formula for the volume of a rectangular prism is...
V=lwh
plug in the data we know
2025=lw(9)
225ft=lw
Since the length and width make up the area floor, we stop here.
Answer=225ft²
Answer:
y = mx + b
Step-by-step explanation:
Hello! So, 11/2 cups is simplified as 5 1/2 cups. In order to find out how many 1/8 cups Jenn will need to scoop, all you have to do is divide each number by 1/8. When you divide fractions, you keep the first fraction the same, change division into multiplication, and flip the second fraction over into it's reciprocal. So 2 / 1/8 becomes 2/1 * 8/1. With that being said, if you solve each of them correctly, here are your answers for the number of 1/8 cups needed.
Water: 16
Brown Rice: 44
Jenn willl have to use the 1/8 scoop to get water 16 times and the 1/8 scoop to get brown rice 44 times.
Answer: The correct answer would be C. $1.19 or B, depending on how you look at it.
Step-by-step explanation: IN order to figure out the answer, we have to go back and figure a few things out first:
1. how much each pound of bananas cost, and
2. how much each pound of apples cost. So:
8.28 / 12 = .69
15.04 / 8 = 1.88
That's how much 1 pound cost. Now:
1.88 - .69 = 1.19
