3 years ago

Can someone help me on any of the problems that are circled

Mathematics

1 answer:

aniked [119]3 years ago

4 0

15. Is $52.50 I think

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Determine if the lines r1(t) = <3, 0, 2> + t <1, 2, −2> and r2(s) = <0, 1, −1> + s <4, 1, 1> intersect,

Temka [501]

Answer:

Yes lines are intersecting, point of intersection is <4,2,0>.

Step-by-step explanation:

Given parametric equations of line are:

$r_{1}(t) = + t \\ r_{1}(t) = \\ r_{1}(t) = ---(1)$

$r_{2}(s) = + s \\ r_{2}(s) = \\ r_{2}(s) = ---(2)\\$

If lines are intersecting then parametric coordinates of (1) are equal to (2)

$3+t=4s---(A)\\2t=1+s---(B)\\2-2t=s-1---(C)\\$

Considering A and B to find values of t and s

From A

t=4s-3---(D)

Putting in (B)

2(4s-3)=1+s

8s-6=1+s

7s=7

s=1

Then

t=4-3

t=1

If lines are intersecting then these values of s and t must satisfy (C)

2-2(1)=1-1

0=0

This shows lines are intersecting.

At this value of t, (1) becomes

$r_{1}(1) = \\=$

Putting s=1 in (2)

$r_{2}(1)=4, 1+1,-1+1>\\=$

Point of intersection is <4,2,0>.

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3 years ago

Which expression represents the phrase "twice the sum of a number and three"?

exis [7]

2(n+3)
two times the sum of a number (n) and 3

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temperature in Alexandria Kentucky from 45 degrees to 10 degrees in 5 hours what is the average change in temperature per hour

Leno4ka [110]

So the difference between 45 and 10 is..
35 (omygad)

You have to divide 35/5 to get the average drop in the temperature PER HOUR, meaning 7 degrees per hour.

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3 years ago

−2x−x+8 please help cant figure it out

Trava [24]

Answer:

-3x+8

Step-by-step explanation:

−2x−x+8

Add the -2x to the -x and you get -3x.

-3x + 8 is the answer if you wrote your equation correctly...

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Quadrilateral ABCD is rotated 270° clockwise about the origin. What are the

nirvana33 [79]

Answer:

Step-by-step explanation:

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