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Lubov Fominskaja [6]
2 years ago
13

Find the distance from the line passing through points P(0,0,0) and Q(9,0,0) to the line passing through points R(3,-2,4) and S(

3,-6,-8).
Mathematics
1 answer:
Alika [10]2 years ago
4 0

Answer:

Step-by-step explanation:

Let the I line be PQ and II line be RS

Direction ratios  of PQ = (9,0,0) and direction ratios of RS = (0, -4, -12)

Distance between skew lines

=(a1-a2).(b1xb2)/|b1xb2|

where a1 and a2 are points

Here a1-a2 = (-3,2,-4) taking P and Q as points.

b1 = (9,0,0) and b2 = (0,-4,-12)

Shortest Distance = (a2-a1).(b1xb2)/|b1xb2|

De\left[\begin{array}{ccc}-3&2&-4\\9&0&0\\0&-4&-12\end{array}\right]

Numerator = -9(-24-16)=360

Denominator vector = i(0)-j(-108)+k(-36)

Modulus  of vector =\sqrt{108^2+36^2} =36\sqrt{10}

Hence Shortest distance = \sqrt{10}

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Solve 7x - 8 = 3x + 40
Contact [7]

Answer:

7x-8=3x+40\\7x-3x=40+8\\4x=48\\x=12

4 0
3 years ago
Read 2 more answers
Anumeha is mowing the lawns for a summer job. For every mowing job, she charges and initial fee of $10 plus a constant fee for e
ExtremeBDS [4]

Answer:

F(t) = 10 +5t

Step-by-step explanation:

Income equals the initial fee plus the hours worked times the hourly rate

We know the initial fee = 10

hours = t

hourly rate =r


F(t) = 10 + r*t

We know a 5 hour job is 35 dollars

35 = 10 + r*5

Subtract 10 from each side

35-10 = 10-10 +5r

25 = 5r

Divide by 5

25/5 = 5r/5

5 =r

The hourly rate is 5

F(t) = 10 +5t

8 0
3 years ago
If T(n) = 3n -5 what is the 3rd term
PtichkaEL [24]
Tn=3n-5 therefore: T(3)=3(3)-5 T(3) =4
4 0
3 years ago
What does n/5 - 3n/10 =1/5
dsp73
I assume you're looking for n.
so, take 2n/10-3n/10=2/10. Making everything have the same denominator is always easier.

This way, you have -n/10=2/10.

n=-2.
8 0
3 years ago
Help Please!? Thank You!
swat32
A. left 2 units

the vertex form of a parabola is
y = a(x-h)^2 + k
(h,k) is the point of the vertex

since h is -2 in (x+2)^2
the function is shifted 2 units left
3 0
2 years ago
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