Hello there! Your answer would be y = 0.5x - 3.
To find the equation, use slope intercept form, y = mx + b. <em>(m = slope, b = y intercept)</em>
For the slope, solve by subtracting the y values over the x values.
- 5 - - 3 / 0 - 4
- 2 / - 4
The negatives cancel out, and you are left with 0.5 as your slope. Plug that into m.
y = 0.5x + b
Now to find the y intercept. To do this, we can replace the x and y values into the equation and solve for b.
-5 = 0.5(4) + b
-5 = 2 + b
- 3 = b
so, the y intercept has a value of -3. Plug that in to the final equation.
y = 0.5x - 3
Hope this helps and have a great day!
9514 1404 393
Answer:
16/7
Step-by-step explanation:
If the segments are congruent, their lengths are equal:
(1/2)x -3 = 5 -3x
(3 1/2)x = 8
x = 8/(3.5) = 16/7
The value of x is 16/7.
_____
<em>Comment on the question</em>
This value of x makes the lengths of the segments be -13/7 units. Usually, negative lengths are considered impossible for line segments.
Answer:
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Step-by-step explanation:
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Answer:
The Proof is below.
Step-by-step explanation:
Given:
[]MNOP is a Parallelogram
U is any point on side OP
To Show:
ar(Δ MUN)= ar ( Δ PUM)+ar (Δ UNO)
Proof:
Theorem:
If a triangle and parallelogram are on the same base and have the same altitude, the area of the triangle will be half that of the parallelogram.
If they have same altitude, they will lie between the same parallels.
Hence the area of the triangle will be equal to half that of the parallelogram.
Area of Parallelogram will be twice of Area of Triangle
∴ .............( 1 )
Also,
Substituting equation 1 we get
...........Proved
If the problem was written x + 4x. We would know to add like the coefficients together and get 5x same thing with the radicals.