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3 years ago

Find an equation in slope intercept form for the line through point P(-3, 2) and perpendicular to the line

Mathematics

1 answer:

vova2212 [387]3 years ago

4 0

Answer:

y=-1/5 x +7/5

Step-by-step explanation:

First lets find the slope for line containing the two points (2,3) and (1,2)

$m=\frac{3-(-2)}{(2-1)}\\$

m=5

Two lines are perpendicular between each other if m1*m2=-1

we have one slope m1=5, we obtain m2= -1/5

Next we need to eval the equation for lines y=mx+b, where m= -1/5 using the point P(-3,2)

2=-1/5 * -3 +b

From that we obtain that b= 2-3/5=7/5

So the equation for the desired line is:

y=-1/5 x +7/5

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Answer:

Step-by-step explanation:

You can split the coins into 3 groups, each of them has 3 coins. Weigh group 1 vs group 2, if one is lighter, that group has the fake coin. If both groups weigh the same, then group 3 has the fake coin.

Continue to split the group that has the fake coin into 3 groups, each group has 1 coin. Now apply the same procedure and we can identify the fake coin.

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b) if you have $3^n$ coins then you can apply the same approach and find the fake coin with just n steps. By splitting up to 3 groups each step, after each step you should be able to narrow down your suspected coin by 3 times.

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Step 2: you narrow down to group of $\frac{3^{n-1}}{3} = 3^{n-2}$ coins

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3 years ago

A pendant is formed using a cylinder and cone. Once assembled, as shown below, the pendant is painted. How many square millimete

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3 years ago

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Step-by-step explanation:

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