42 / 38x
This sentence is just to fill up space.
Coordinates of the point that partitions the line into the given ratio is; (1, 5)
<h3>How to divide a line segment?</h3>
If the ratio dividing a line segment represents a:b, then the formula to divide the line segment is;
Coordinates = {(bx₁ + ax₂)/(a + b), (by₁ + ay₂)/(a + b)}
From our question, we have the ratio as;
1:2. Thus; a = 1 and b = 2
Our coordinate of CD is; C(-1,7) and D(5, 1)
Thus;
x₁ = -1
x₂ = 5
y₁ = 7
y₂ = 1
Coordinates of the point that partitions the line into the given ratio is;
Coordinate = {(2*-1 + 1*5)/(1 + 2), (2*7 + 1*1)/(1 + 2)}
Coordinate = (3/3, 15/3) = (1, 5)
Read more about Division of Line Segment at; brainly.com/question/17374569
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Answer:
b) 91
Step-by-step explanation:
<u>Step 1: Multiple marks by its weights</u>
<em>Homework average:</em> 95 x 20% = 19
<em>Quiz average: </em>90 x 20% = 18
<em>Test average:</em> 87 x 40% = 34.8
<em>Final exam:</em> y x 20% = 0.2y
<u>Step 2: Add all weighted averages and find y</u>
19+18+34.8+0.2y = 90
71.8 + 0.2y = 90
y = 18.2/0.2
y = 91
Therefore, Anna needs to score minimum 91 in the final exam so that she can score a 90 in class.
Option b is correct.
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We can't help you because that doesn't give us a lot of information.