The coordinate of point D will be ( -0.5, 0.25 ).
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What is coordinate geometry?</h3>
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that point, D is 1/n of the way from C(−2.5, 1.25) to E(5, 15), and the value of n = 5.
The coordinates of point D will be:-
D = ( 1 / n ) C
D = ( 1 / n ) ( -2.5 , 1.25 )
D = ( 1 / 5 ) ( -2.5 , 1.25 )
D = ( -0.5 , 0.25 )
Therefore, the coordinate of point D will be ( -0.5, 0.25 ).
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Answer: -2
Step-by-step explanation:
f(-2) = -2
It is the value of y when x = -2. I read "-2."
3 + -4x = 5(x +6)
Re-order the terms:
3 + -4x = 5(6 + x)
3 + -4x = (6 . 5 + x . 5)
3 + -4x = (30 + 5x)
Solving:
3 + -4x = 30 + 5x
Solving for variable "x"
Move all terms containing "x" to the left, all the other terms to the right.
Add "-5x" to each side of the equation.
3 + -4x + -5x = 30 + 5x + -5x
Combine like terms: -4x + -5x = -9x
3 + -9x = 30 +5x + -5x
Combine like terms: 5x + -5x = 0
0 + -9x = 30 +0
3 + -9x = 30
Add "-3" to each side of the equation.
3 + -3 + -9x = 30 + 3
Combine like terms: 3 + -3 = 0
0 + -9x = 30 + -3
-9x = 30 + -3
Combine like terms: 30 + -3 = 27
-9x = 27
Divide each side by "-9".
x = -3
Simplifying:
x = -3