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LiRa [457]
3 years ago
5

If the points (–2, 2), (–4, 4), (2, –2), and (4, –4) are joined to form a straight line, at what point does the line intersect t

he y-axis?
Mathematics
2 answers:
nikitadnepr [17]3 years ago
6 0

Answer: Origin=(0,0)

Step-by-step explanation:

Given points are : (–2, 2), (–4, 4), (2, –2), and (4, –4) .

We can see that for every x, y=-x

hence, the equation of the line is y=-4x

The point where the line intersects the y-axis has y coordinate as 0.

When we put y=0 in the equation, we get

0=-x\\\Rightarrow\ x=0

Hence, The point where the line intersects the y-axis =(0,0) which is origin.

fiasKO [112]3 years ago
5 0
It would be (0, 0) Or 'The Origin'
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3 years ago
Slove the equation V=(20-2x)(15-2x)(x) for V
Schach [20]

Answer:

V = 300x + -70x2 + 4x3

Step-by-step explanation:

Simplifying

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Reorder the terms for easier multiplication:

V = x(20 + -2x)(15 + -2x)

Multiply (20 + -2x) * (15 + -2x)

V = x(20(15 + -2x) + -2x * (15 + -2x))

V = x((15 * 20 + -2x * 20) + -2x * (15 + -2x))

V = x((300 + -40x) + -2x * (15 + -2x))

V = x(300 + -40x + (15 * -2x + -2x * -2x))

V = x(300 + -40x + (-30x + 4x2))

Combine like terms: -40x + -30x = -70x

V = x(300 + -70x + 4x2)

V = (300 * x + -70x * x + 4x2 * x)

V = (300x + -70x2 + 4x3)

Solving

V = 300x + -70x2 + 4x3

Solving for variable 'V'.

Move all terms containing V to the left, all other terms to the right.

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3 years ago
AB, CD and EF are straight lines. <br> AB is parallel to CD.<br> work out the size of angle y.
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y = 108°

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(3x - 12) = 3(28) - 12

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72° + y = 180°

y = 180 - 72

y = 108°

4 0
2 years ago
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