The coordinates of point R of the given line segment are (-3.5, -7)
<h3>How to partition a line segment?</h3>
We are given the coordinates;
L (-8,-10) to M (4,-2)
We are told that they are partitioned in the ratio 3 to 5.
Thus;
The coordinates of R divide directed line segment from L (-8,-10) to M (4,-2) in ratio 3:5will be :
x = [3(4) + 5(-8)]/(3 + 5)
x = -3.5
y = [3(-2) + 5(-10)]/(3 + 5)
y = -7
Thus, the coordinates of point R are (-3.5, -7)
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Tape diagrams are useful for visualizing ratio relationships between two (or more) quantities that have the same units. They can be used to highlight the multiplicative relationship between the quantities.
9 x (400 + 75)
3 (3) x 100 (4.75)
For example:
20,484,163 in expanded form
2 ten million and 0 one million and 4 hundred thousand and 8 ten thousand and 4 one thousand and 1 hundreds and 6 tens and 3 ones.
or
<span>2 x 10,000,000 + 0 x 1,000,000 + 4 x 100,000 + 8 x 10,000 + 4 x 1,000 + 1 x 100 + 6 x 10 + 3 x 1</span>
Answer: 40 cm^3
Step-by-step explanation:
The volume of a triangular prism is the base * height.
Therefore, the volume is 50 cm^2 * 8 cm = 40 cm^3
