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4 years ago

Two positive numbers have a difference of 17. The larger number is one more than twice the smaller. Find the two numbers.

Mathematics

1 answer:

frosja888 [35]4 years ago

7 0

$(2x+1)-x=17\\
x+1=17\\
x=16\\
plug~16~in~for~x.\\The~bigger~number~is~ 2(16)+1=33, \\~the~smaller~number~is~16.$

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3 years ago

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kupik [55]

Answer:

$(a)\ T_{a,b} =(x +a,y+b)$

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Solving (a): Translate a units right, b units up

When a function is translated a units right, the number of units will be added to the x coordinate

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Solving (b): Reflect across y-axis

When a function is translated across the y-axis, the x coordinate gets negated.

So, we have:

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So, we have:

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Solving (d): 90 degrees rotation counterclockwise

When a function is rotated 90 degrees counterclockwise, the y-coordinates gets negated and then swapped with the x-coordinate.

So, we have:

$R_{o,90^o} = (-y,x)$

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When a function is rotated 180 degrees counterclockwise, the coordinates are negated.

So, we have:

$R_{o,180^o} = (-x,-y)$

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$R_{o,270^o} = (y,-x)$

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