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Irina18 [472]
2 years ago
5

A down arrow is drawn with its tip at (2, 0). Then it undergoes a translation described bythe directed line segment (−3, 1). Wha

t direction is the arrow pointing?
Mathematics
1 answer:
alexandr1967 [171]2 years ago
7 0

Answer:

down

Step-by-step explanation:

In mathematics a when dealing with graphs a translation is basically just moving points left/right and up/down but it does not change the shape of the original figure in any way just moves its position. In this scenario, the down arrow's tip will be moved from point (2,0) to (-3,1) but the arrow will still be the same size and still be pointing downward.

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Write a linear function f with f(0)=7 and f(3)=1.
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a = ( 0 , 7 ) & b = ( 3 , 1 )

First need to find the slope using the following equation :

slope =  \frac{y(b) - y(a)}{x(b) - x(a)}  \\

slope =  \frac{1 - 7}{3 - 0}  \\

slope =  \frac{ - 6}{3}  \\

slope =  - 2

_________________________________

We have following equation to find the point-slope form of the linear functions using the slope and one of the through points .

y - y(0) = m \times ( \: x - x(0) \: )

x(0) = x - coordinate \:  \: of  \:  \: through \:  \: point \\

y(0) = y - coordinate \:  \: of \:  \: through \:  \: point \\

m = slope

I choose point (( a )) to put in the equation.

y - 7 =  - 2 \times (x - 0)

y - 7 =  - 2x  + 0

y - 7 =  - 2x

Add sides 7

y - 7 + 7 =  - 2x + 7

y =  - 2x + 7

This the slope-intercept form .

Done...

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2 years ago
Simplify the expression.<br> c^-6 d^4/c^-16 d^14
pochemuha

Answer:

\red{\frac{ {c}^{10}}{{d}^{10} } }

Step-by-step explanation:

\huge \: \frac{ {c}^{ - 6}  {d}^{4}}{ {c}^{ - 16}  {d}^{14} }  \\  \\  =  \huge \: \frac{ {c}^{16 - 6}}{{d}^{14 - 4} } \\  \\  =  \huge \:  \red{\frac{ {c}^{10}}{{d}^{10} } }

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