Find the value of x, y, and z.

Mathematics

1 answer:

tankabanditka [31]1 year ago

7 0

Answer:

Step-by-step explanation:

x² + 25 = 36 ⇒ x = √11 ≈ 3.3

5y = 11 ⇒ y = 11 ÷ 5 = 2.2

z = y + 5 ⇒ z = 7.2

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

alexandr1967 [171]

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).

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