The point G on AB such that the ratio of AG to GB is 3:2 is; G(4.2, 2)
How to partition a Line segment?
The formula to partition a line segment in the ratio a:b is;
(x, y) = [(bx1 + ax2)/(a + b)], [(by1 + ay2)/(a + b)]
We want to find point G on AB such that the ratio of AG to GB is 3:2.
From the graph, the coordinates of the points A and B are;
A(3, 5) and B(5, 0)
Thus, coordinates of point G that divides the line AB in the ratio of 3:2 is;
G(x, y) = [(2 * 3 + 3 * 5)/(2 + 3)], [(2 * 5 + 3 * 0)/(2 + 3)]
G(x, y) = (21/5, 10/5)
G(x, y) = (4.2, 2)
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Yes they are equal because lets say the rectangle's area is 14 and if you divide 14 into 2 it will be 7 and 7+7=14
Answer:
Area =
Step-by-step explanation:
<u>The Complete Question:</u>
A rectangle has height and width . What is the area of the rectangle in terms of x?
<u>Solution:</u>
The formula for the area of a rectangle is:
Area = Height * Width
Both the expressions for height and width is given, so we just need to multiply both the expressions to get an expression, in x, for the area of the rectangle. The algebra is shown below:
This is the area of the rectangle.
Answer:
c.5/6
Step-by-step explanation:
1 1/3 x 5/8 = 4/3 x 5/8
first multiply both numerator and d enumerator
then we get
20/ 24
divide both numerator and d enumerator with 4
simplify that
=5/6
6 times 3/8 is the same as:
<span>6/1 * 3/8 </span>
<span>Now, multiply the tops and bottoms to get: </span>
<span>18/8 </span>
<span>We can divide the top and bottom by 2, giving us: </span>
<span>9/4</span>