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Tanya [424]
2 years ago
6

Find a vector parametric equation r⃗(t) for the line through the points P=(1,0,−2) and Q=(1,5,1) for each of the given condition

s on the parameter t, assuming r⃗ (0)=<1,0,−2> and r⃗ (4)=<1,5,1>.
Mathematics
1 answer:
const2013 [10]2 years ago
7 0
So the question ask to find and calculate the vector parametric equation r(t) for the line through the points P=(1,0,-2) and Q(1,5,1) for each given condition. And the possible vector parametric equation is <1,2,-2>+t/4<1,5,3>. I hope you are satisfied with my answer and feel free to ask for more 
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What translation rule can be used to describe the result of the composition of T &lt; 4, −10 &gt;(x, y) and T &lt; −1, −9 &gt;(x
Vikki [24]

The first translation picks a point and adds 4 to its x coordinate, and subtracts 10 from the y coordinate. In other words, it moves the point 4 units to the right and 10 units down.

Similarly, the second translation subtracts 1 to the x coordinate, and subtracts 9 from the y coordinate. In other words, it moves the point 1 unit to the left and 9 units down.

So, if you perform one translation after the other, you move the point 4 units to the right and 1 unit to the left along the x axis, and 10 units down and 9 more units down along the y axis.

The net result is a translation of 3 units to the right and 19 units down.

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2 years ago
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6 0
2 years ago
Read 2 more answers
M∠1 = 80 – x; and
Burka [1]

Answer:

10

Step-by-step explanation:

<em>m∠</em>2 and <em>m∠</em>1 are congruent by the Corresponding Angles Theorem; we set both expressions equal to each other:

[80 - x]° = [90 - 2x]°

+ x° + x°

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80° = [90 - x]°

-90° - 90°

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6 0
3 years ago
Can someone help me with these questions I want to make sure I got them right ​
Andrej [43]

9514 1404 393

Answer:

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Step-by-step explanation:

1. n = (11/6 -2/3)(4/3) = (7/6)(4/3) = 14/9

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2. x = (9.82 -28.18)/5.1 = -3.6

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3. y = 3/2 -1/4 = 5/4

__

4a. t = 2(3 -1/4) = 11/2

4b. y = (1/5 +1/2)(5/4) = ((2+5)/10)(5/4) = 7/8

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3 0
2 years ago
Find the value of each variable
mina [271]

Answer:

x = 16  y= 16√3

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y can be express as √3/2 x 32 = 16√3

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2 years ago
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