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barxatty [35]
4 years ago
6

Michael and Michelle are skating on a downward path. Both are going downward at a 45 degree angle only Michael's path is higher

up. What kind of slope are they skating on and do they have the same or different slopes?
Mathematics
1 answer:
Nana76 [90]4 years ago
5 0

Answer:

they are on a negative slope. (Or positive, depending on what direction they are facing and from the viewers standpoint) they have the same slopes.

Step-by-step explanation:

Their paths look like this \\

the paths never intersect, so they are parallel, meaning they have the same slope and never intersect.

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5x-7y=14 \\ \\7y = 5x-14 \ \: 7 \\ \\y=\frac{5}{7}x -\frac{14}{7} \\ \\y=\frac{5}{7}x -2

Linear \ functions \ Where \ : \\y=mx + b \\x,y \ \ \ are \ the \ coordinates \ of \ any \ point \ on \ the \ line \\m \ \ \ \ is \ the \ slope \ of \ the \ line \\ b \ \ \ \ is \ the \ y-intercept \ (where \ the \ line \ crosses \ the \ y-axis) \\ \\m=\frac{5}{7}

x-intercept is : \ \  y=0 \\ \\0=\frac{5}{7}x -2 \\ \\\frac{5}{7}x =2 \ \ \cdot  /(\frac{7}{5}) \\ \\ x=\frac{14}{5} \\ \\(\frac{14}{5},0)\\ \\y-intercept is : \ \  x=0 \\\\y=\frac{5}{7} \cdot 0 -2\\ \\ y=-2 \\ \\(-2,0)


7 0
3 years ago
V vi h f " Which o 1 e o owing r . regular polygon 9 gm no G ‘ mi
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8 0
4 years ago
Brandee makes an hourly wage. In the last pay period, she earned $800 for regular hours and $240 for overtime hours. Her overtim
abruzzese [7]

Answer:

  h = 13.333 +693.333/r

Step-by-step explanation:

For h hours, Brandee's pay will be ...

  pay = 40r +(h -40)(1.5r) . . . . 40 hours at rate r + overtime (h-40) hours at 1.5r

  pay = 40r +1.5hr -60r . . . . . eliminate parentheses

  pay = 1.5hr -20r . . . . . . . . . . collect terms

Solving for h, we have ...

  pay +20r = 1.5hr . . . . . . . . . . add 20r

  h = (pay +20r)/(1.5r) . . . . . . . . divide by 1.5r

For the given pay of 800 +240 = 1040, we have ...

  h = (1040 +20r)/(1.5r)

  h = 13.333 +693.333/r . . . . . simplify to 2 terms

_____

<em>Additional comments</em>

You need to know r to find the number of hours Brandee worked. She got paid $800 for a presumed 40-hours of regular time, so made r = $20 per hour. The above formula will tell you she worked 48 hours in the pay period.

6 0
3 years ago
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2/12 is the probbability
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Katrina was comparing the volume of a 20-inch cube to the volume of a 10-inch cube how many times greater is the volume of the l
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Answer:

4x the volume

Step-by-step explanation:

400 divided by 100

5 0
4 years ago
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