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2 years ago

Translate (x-2, y+D) then rotate 90° counterclockwise (-1, 1)

Mathematics

1 answer:

IgorLugansk [536]2 years ago

7 0

Answer:

By taking (-1, 1) and translating it left by 2 and up by D we have (-3, 1+D)

Rotating 90° counterclockwise puts a negative on your y-coordinate and switches the x and y-coordinates.

Final answer:

(-1-D, -3)

Your well wisher :-)

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3 years ago

If the rule of the function is "multiply by 2 then add 3" and the input value is -2, what is the output value?

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3 years ago

(x-4)/5=9-(2x-41)/9

jok3333 [9.3K]

For this question, you have to take Least Common Multiplier for which in this case will be "45" as, the denominators can get similar and get multiplied by a same value to form a similar expression. This allows us to cancel out them by common factors. Full process shown below.

$\mathbf{Given \: \: Expression: \: \dfrac{x - 4}{5} = 9 - \dfrac{2x - 41}{9}}$

$\mathbf{\dfrac{x - 4}{5} \times 45 = 9 \times 45 - \dfrac{2x - 41}{9} \times 45}$

$\mathbf{9(x - 4) = 405 - 5 (2x - 41)}$

$\mathbf{9x - 36 = 405 - 10x + 205}$

$\mathbf{9x - 36 = - 10x + 610}$

$\mathbf{9x - 36 + 36 = - 10x + 610 + 36}$

$\mathbf{9x = - 10x + 646}$

$\mathbf{9x + 10x = - 10x + 646 + 10x}$

$\mathbf{19x = 646}$

$\mathbf{\dfrac{19x}{19} = \dfrac{646}{19}}$

$\mathbf{\therefore \quad x = 34}$

$\boxed{\mathbf{\underline{\therefore \quad Final \: \: Answer \: \: is; \: \: x = 34}}}$

Hope it helps.

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3 years ago