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1 year ago

300-297+294-291+288-285+...+6-3

1 answer:

vladimir2022 [97]1 year ago

7 0

300 - 297 = 3

294 - 291 = 3

288 - 285 = 3

So, that is a sequence of sums of number 3: 3 + 3 + 3 + .... + 3

How may times will the number 3 be added?

Note that 300 is reduced in 6 units each time => 300 / 6 = 50 => 3 will be added 50 times.

=> 50 * 3 = 150

Answer: 150

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1 year ago

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in any given year a factory has a 10% probability of having a serious accident. about every how many years might the factory exp

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Years for one serious accident is 10 year

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The water under a draw bridge was 15 feet deep at midnight. As the tide went out, the

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80 minutes or 1 h 20 minutes

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What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−23x+5

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Answer:

$y-1=\frac{1}{23} (x-8)$

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point (8,1) and a slope from the equation y=-23x+5. We will chose point-slope since we have a point and slope.

Point slope: $y-y_1=m(x-x_1)$

$m\neq -23$ in our new equation because it us perpendicular to it. This means we will need to change it into its negative reciprocal which is $m=\frac{1}{23}$ .

We will substitute $m=\frac{1}{23}$ and $x_1=8\\y_1=1$ .

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This is the equation of the line perpendicular to y=-23x+5 that crosses through (8,1).

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1 year ago