Orlo uses a spool of wire to make 15 necklaces.

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

3 0

Each spool of wire makes 15 necklaces. So 50 necklaces divested by 15 is 3.333 spolls, is 3 1/3.

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All log graphs contain the points (1,0), (a,1), and (1/a,-1).<br><br> True .<br> False.

Bumek [7]

The correct answer is: True

Explanation:
1. $log_a1 = 0$ (Straightforward)
2. $log_aa = 1
$ (log to base of itself is always 1)
3. $log_a \frac{1}{a} = log_aa^{-1} = -1(1) = -1$ (Using log power property)

Hence the correct option is True.

7 0

3 years ago

Write an equation of the line that is parallel to the line whose equation is 3y+7=2x and passes through point (2,6).

Sladkaya [172]

Answer:

Step-by-step explanation:

To find the equation of a parallel line, we first need to find the slope of 3y + 7 = 2x.

We need to find it because, if two lines are parallel, then that means they have the same slope.

The best way to do this is solve for y:

$3y+7=2x\\3y=2x-7\\y=\frac{2}{3}-\frac{7}{3}$

Due to the rule that in y = mx + b, m = the slope, we find that the slope is 2/3.

Now we use that slope in the same formula to find b of the line we're trying to find the equation for, and then we'll have our answer. We find b by plugging in (2, 6) for x and y:

$y = mx+b\\y=\frac{2}{3}x+b\\6=\frac{2}{3}(2)+b\\18=4+3b\\ 14=3b\\\frac{14}{3} = b$