What is the image of 6, -7 after dilation by scale factor of 3 centered at the origin

Mathematics

1 answer:

earnstyle [38]3 years ago

4 0

Answer:

(18,−21)

Step-by-step explanation:

Dilation: multiply each coordinate

(x,y)\rightarrow (3x,3y)

(x,y)→(3x,3y)

Dilations multiply by scale factor

(\color{red}{6},\color{blue}{-7}) \rightarrow (3\cdot \color{red}{6},3\cdot \color{blue}{-7})=\mathbf{(18,-21)}

(6,−7)→(3⋅6,3⋅−7)=(18,−21)

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3 years ago

5x +6y = 20 (1)

slega [8]

(2) + (2)

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2 years ago

Read 2 more answers

Find the values of k so that each remainder is three. 10. (x^2+ 5x + 7) = (x + k)

Goryan [66]

Answer:

$k=1\text{ or } k=4$

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a binomial in the form (x - a), then our remainder will be P(a).

We are dividing:

$(x^2+5x+7)\div(x+k)$