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lesantik [10]
2 years ago
11

Find a point-slope form for the line with slope 1/5 and passing through the point (-4,-9).

Mathematics
1 answer:
sattari [20]2 years ago
3 0

Answer:

y + 9 = \frac{1}{5}(x + 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = \frac{1}{5} and (a, b) = (- 4, - 9) , thus

y - (- 9) = \frac{1}{5}(x - (- 4) ) , that is

y + 9 = \frac{1}{5}(x + 4)

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5 feet

Step-by-step explanation:

12 inches in a foot. so divide 72 by 12 to get 5 feet

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If 120 L of an acid solution is 75% acid, how much pure acid is there<br> in the mixture?
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Answer:

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Step-by-step explanation:

To find the average of a set of numbers, we sum them all together and divide them by the size of the set. Here, we start out with 11 IQ scores. We don't know what they are, but we can still set up an equation with the information we do have. Let's call the sum of those 11 score <em>s</em>. The average must be s/11, which we know is 101.5. With that, we can set up and solve and equation for <em>s</em>:

\dfrac{s}{11}=101.5\\s=101.5(11)\\s=1116.5

Let's call the score of the reality TV star <em>r</em>. If we add their score to the set, we now have <em>12</em> scores. The sum of those scores is gonna be the sum of the previous scores, 1116.5, plus the reality TV star's score, r. To find the average, we divide the sum by 12. Finally, we're told that this average is exactly 98.04. Putting all of this into an equation gives us

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1116.5+r=98.04(12)\\1116.5+r=1176.48

And then subtracting 1116.5 from both sides:

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Step-by-step explanation:

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