Write a rule for this transformation (geometry)

Mathematics

1 answer:

fgiga [73]3 years ago

8 0

Answer:

(x,y) → (x+1 , y+1)

Step-by-step explanation:

Based on the image provided we can assume that every square in the graph represents 1 space. That being said we can create the following rule for this transformation

(x,y) → (x+1 , y+1)

This rule basically states that every point on the original shape needs to be moved 1 space to the right and 1 space upward in order for the translation to be perfect and output the final image shown in the graph.

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A truck weighs 16,000 pounds. What is the weight range in tons?

melamori03 [73]

Answer:

Step-by-step explanation:

uh idrk all ik is that 16,000 punds = 8 tons

5 0

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Tank 1 initially contains 50 gals of water with 10 oz of salt in it, while tank 2 initially contains 20 gals of water with 15 oz

Naddik [55]

$\dfrac{\mathrm dx_1}{\mathrm dt}=\dfrac{2\text{ oz}}{1\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}-\dfrac{x_1(t)\text{ oz}}{50\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}$
$\dfrac{\mathrm dx_2}{\mathrm dt}=\dfrac{x_1(t)\text{ oz}}{50\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}-\dfrac{x_2(t)\text{ oz}}{20\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}$

$\implies\begin{cases}\dfrac{\mathrm dx_1}{\mathrm dt}=10-\dfrac1{10}x_1\\\\\dfrac{\mathrm dx_2}{\mathrm dt}=\dfrac1{10}x_1-\dfrac14x_2\\\\x_1(0)=10\\\\x_2(0)=15\end{cases}$