1) The y- axis is where x = 0, so the line "y = -1/2x - 3" will cross the y-axis when x = 0. You plug in "x = 0" into the equation, and get y = 0 -3, so y = -3. That means the line " y = -1/2x - 3" will cross the y-axis ar (0, -3)
2) If there are 2 parallel lines, then there is no solution, because the definition of parallel lines is, " 2 lines in the same plane, that never meet." That makes the solution inconsistent.
Answer:
How many items did Bob produce last week? 32 items.
Step-by-step explanation:
(1) Last week Bob was paid total of $480 for the items that he produced that week.
(2) This week Bob produced 2 items more than last week and was paid a total of $510 for the items that he produced this week.
a) Let's start with the simplest case: he produced 36 or less items this week.
In this case he produced less than 36 items last week too.
So he was paid the same amount of dollar per item.
Using (1) and (2) assumptions we have:
$480+2X=$510
⇒2X=$510-$480
⇒2X=$30
⇒2X=$30/2
⇒X=$15
He was paid $15 per item.
Last week he was paid $480.
480/15= 32 items.
This week he was paid $510.
510/15=34 items.
The other cases has no solutions.
Because we are dealing with area, we have to square the difference of the 2 polygons.40 / 15 =
<span>
<span>
<span>
2.6666666667
</span>
</span>
</span>
<span>
<span>
<span>
2.6666666667^2 = </span></span></span>
<span>
<span>
<span>
7.1111111111
</span></span></span>
<span><span><span>
</span>
</span>
</span>
So, the 40 yard polygon has <span>
<span>
7.1111111111</span>times the area of the 15 yard polygon.
</span>
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