Laura retired from her job recently, and she has saved about $427,595.00 over the course of her career. She plans to withdraw

Mathematics

1 answer:

Rzqust [24]2 years ago

8 0

Answer:

24 mouths have passed

Step-by-step explanation:

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Write an equation for how d distance and t time are related for travel at each speed

deff fn [24]

speed = Distance taken / time travelled

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2 years ago

Find the least common multiple (LCM) of 6 and 10,<br> O A. 60<br> O B. 20<br> O C. 40<br> O D. 30

kolezko [41]

The answer is 30 I’m sure of it

4 0

2 years ago

Find an equation for the plane that contains the line v = (−1, 1, 2) + t(7, 6, 2) and is perpendicular to the plane 8x + 5y − 7z

Nadusha1986 [10]

The required plane Π contains the line
L: (-1,1,2)+t(7,6,2)
means that Π is perpendicular to the direction vector of the line L, namely
vl=<7,6,2>

It is also required that Π be perpendicular to the plane
Π 1 : 5y-7z+8=0
means that Π is also perpendicular to the normal vector of the given plane, vp=<0,5,-7>.

Thus the normal vector of the required plane, Π can be obtained by the cross product of vl and vp, or vl x vp:
i j k
7 6 2
0 5 -7
=<-42-10, 0+49, 35-0>
=<-52, 49, 35>
which is the normal vector of Π

Since Π has to contain the line, it must pass through the point (-1,1,2), so the equation of the plane is
Π : -52(x-(-1))+49(y-1)+35(z-2)=0
=>
Π : -52x+49y+35z = 171

Check that normal vector of plane is orthogonal to line direction vector
<-52,49,35>.<7,6,2>
=-364+294+70
=0 ok

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2 years ago

1. What is the slope of a line that is parallel to the line represented by the equation y=-2/5x + 4/5

lbvjy [14]

Hi student, let me help you out! :)

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We are asked to find the slope of the line that is parallel to the line $\star~\mathrm{y=-\cfrac{2}{5}x+\cfrac{4}{5}}$ .