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2 years ago

Show that (0, 0) is equidistant from (1, 2), (-1, -2) and (2, 1).

Mathematics

1 answer:

Len [333]2 years ago

3 0

Step-by-step explanation:

1) if (0;0) if point A, (1;2) is point B; (-1;-2) is C, (2;1) is D, then

2) the vector AB is (1;2); vector AC is (-1;-2) and vector AD is (2;1), then

3) the length of AB, AC and AD are:

$|AB|=\sqrt{1^2+2^2}=\sqrt{5};$

$|AC|=\sqrt{(-1)^2+(-2)^2}=\sqrt{5};$

$|AD|=\sqrt{2^2+1^2}=\sqrt{5}.$

4) if the lengths above are equal, then it means that (0, 0) is equidistant from (1, 2), (-1, -2) and (2, 1).

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Angle APR is vertical with Angle SPL. If Angle APR = 13x - 30, and Angle SPL = 3x + 70, what is the value of x?

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Answer:

The value of $x$ is 10.

Step-by-step explanation:

If APR and SPL are vertical angles, then we get that $\angle APR = \angle SPL$ . Given that $\angle APR = 13\cdot x -30$ and $\angle SPL = 3\cdot x + 70$ , we find that the value of $x$ is:

$13\cdot x - 30 = 3\cdot x +70$

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Suppose that y varies directly as the square of x, and that y=567 when x=9. What is y when x=4

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Answer:

y = 112

Step-by-step explanation:

If y varies directly as the square of x

mathematically;

y ∝ x²

y = kx² where 'k' is the constant of proportionality

let u know the value of k for this equation by making k the subject of the formular from y = kx²

divide both sides by x²

k = y / x²

given that y = 567 x = 9

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3 years ago

Which expression has a value of 12?<br> A. 3+32<br> B. 32 +23<br> C. (4+2)2<br> D. 42-32

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3 years ago

What is the equation for the line with a slope of - 2/3 that passes through (0, -2)

viktelen [127]

Answer:

y= -2/3x-2

Step-by-step explanation:

Since we have a point and a slope, we can use the point slope formula

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y1 is the y coordinate of the point. In this case, it is -2

x1 is the x coordinate. In this case it is 0.

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y+2-2= -2/3x+0-2

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3 years ago

Show that (0, 0) is equidistant from (1, 2), (-1, -2) and (2, 1).​

Show that (0, 0) is equidistant from (1, 2), (-1, -2) and (2, 1).