Which equation describes a line that passes through (-5,-8) and is perpendicular to y= 5/4x + 10

1 answer:

8 0

Answer: y = -4/5x - 12

1. First find slope. Since you are trying to find a line perpendicular to y = 5/4x + 10, the slope would be the negative reciprocal of 5/4x.

slope = - 4/5x

2. plug in (-5,-8) and the slope of -4/5 to the point slope form equation
(y-y2) = slope (x-x2)

= y+8=-4/5(x+5)

3. solve and simply y+8=-4/5(x+5)

y = -4/5x - 12 is your answer

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A single-engine airplane is heading due east at a constant speed of 150 mi / h. There is a 30 mi / h cross wind blowing north. W

kogti [31]

Let
F1------------------------- > airplane speed <span>150 mi / h East
F2-------------------------- > </span>wind speed <span>30 mi / h North

calculate the resultant force R
F1x=150 F1y=0 F2x= 0 F2y=30
Rx=F1x+F2x------------- >150+0 ---------------- >Rx=150
</span>Ry=F1y+F2y------------- >0+30 ---------------- >Rx=30
║R║=√150² 30²=√23400=152.97----- >153 mi/h
tan(theta)=Ry/Rx=30/150=0.20
arctan (0.20)=11.31 degrees-----------11.3 degrees

the answer is
actual speed 153 mi/h and direction 11.3 degrees North-East (I Quadrant)

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Brittany had already read 13 books this year before joining a book club, and she plans to read 4 books every month now that she

Murrr4er [49]

Answer

41 books in total.

Step-by-step explanation:

Brittany read 13 books before the book club.

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28 + 13 = 41

Hope this helps <3