Answer:
2nd statement is false
Step-by-step explanation:
A method that always works is to find the slope of the given line, then find the negative reciprocal of that. Your result will be the slope of the perpendicular line. Using this slope and the given point, fill in the parameters of the point-slope form of the equation of a line.
For m = slope of given line and (h, k) = given point, the perpendicular line will be
y = (-1/m)(x -h) +k
Often, this equation can be simplified to another appropriate form, such as slope-intercept form (y = mx+b) or standard form (ax+by=c).
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The slope of a given line can be found by solving its equation for y. The slope is the coefficient of x in that solution. If the given line is characterized by two points, (x1, y1) and (x2, y2), then its slope is m = (y2-y1)/(x2-x1).
In the unusual case where the given line is vertical (x=<some constant>), the slope of the perpendicular line is zero, and the line you want becomes y=k.
The right-end behaviour of all polynomials is always (i.e. whether highest power is odd or even) increasing when the leading coefficient (coefficient of the highest powered variable) is positive.
Otherwise, it is decreasing.
The leading coefficient is +3 (i.e. positive), corresponding to the term +3x^2.
Step-by-step explanation:
A case of paper cups costs $408 / 17 = $24.
5 more cases => 22 cases of paper cups total.
Hence the total cost will be 22 * $24 = $528.
There are 10 possible digits.
There are 5 position.
So since we cannot repeat same digital, there is 10 possible digits for first position.
We selected one. Now move to second position. We already selected one digit so now there are 9 possible digits. Just select one.
Now move to third position. Again, we already selected another digit so now there are 8 possible digits for third position.
Repeat until you run out of position.
So that would be 10·9·8·7·6 = 30240
There are 30240 possible codes.
Hope this helps.
