The coordinates of point E is (-2, -1.5)
<h3>How to determine the coordinates of point E?</h3>
The complete question is added as an attachment
The given parameters are
C = (1, 6)
D = (-3, -4)
The ratio 3/4 can be represented as:
m : n = 3 : 1
So, the coordinate of point E is
E = 1/(m + n) * (mx2 + nx1, my2 + ny1)
So, we have:
E = 1/(3 + 1) * (3 * -3 + 1 * 1, 3 * -4 + 1 * 6)
Evaluate
E = 1/(4) * (-8, -6)
This gives
E = (-2, -1.5)
Hence, the coordinates of point E is (-2, -1.5)
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Step-by-step explanation:
you can follow the same procedure for others
3/6
because 6 divided by 2 = 3
and
12 divided by 2 = 6
Answer:
x=2, y=1
x=-2, y = -1
Step-by-step explanation:
x - 2y = 0
x = 2y
x² - y² = 3
(2y)² - y² = 3
3y² = 3
y² = 1
y = 1 or y = - 1
x = 2 or x = -2
F = 9/5C + 32
Subtract 32 to both sides:
F - 32 = 9/5C
Divide 9/5 to both sides or multiply by its reciprocal, 5/9:
5/9(F - 32) = C
Simplify:
C = 5/9F - 160/9