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2 years ago

3. For the equation-4y = &r, what is the constant of variation? (1 point) ООО 02

Mathematics

1 answer:

alexandr1967 [171]2 years ago

7 0

Answer:

3).

$- 4y = 8x \\ \frac{y}{x} = \frac{8}{ - 4} \\ \frac{y}{x} = - 2 \\ y = - 2x \\ hence \: constant \: is \: - 2$

4).

$y \alpha x \\ y = kx \\ where \: k \: is \: the \: constant \: of \: proportionality \\ when \: y = 24 \: and \: x = 8 \\ substitute \: in \: y = kx \\ 24 = 8k \\ k = \frac{24}{8} \\ k = 3 \\ value \: of \: constant = 3$

If it was by 10, k = 3 by 10

k = 30

5).

$general \: equation \: of \: line \\ y = mx + c \\ but \: m = \frac{2}{3} \: and \: c = 9 \\ substitute \: for \: m \: and \: c \: in \: y = mx + c \\ y = \frac{2}{3} x + 9 \\ alternatively \\ 3y = 2x + 27$

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11) The equation of a line perpendicular to $y=-3$ passing through the coordinate (2,6) is $x=6$

12) The equation of a line parallel to $x=4$ passing through the coordinate (-2,3) is $x=-2$

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Step-by-step explanation:

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∴ The equation of a line parallel to $x=4$ passing through the coordinate (-2,3) is $x=-2$

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