Given :
A vector v = 10i - 24k.
To Find :
A vector of magnitude 3 in the direction of v = 10i - 24k.
Solution :
Unit vector in the direction of vector v is :
Now , vector of magnitude 3 in direction v is :
Hence , this is the required solution .
Answer:
x = 16
Step-by-step explanation:
The equation shown can be solved this way.
x^2 +(x -4)^2 = 20^2
x^2 +x^2 -8x +16 = 400
2x^2 -8x -384 = 0
x^2 -4x -192 = 0
(x -16)(x +12) = 0
The positive solution is ...
x = 16
_____
Since this makes use of the Pythagorean theorem, you've probably run across the 3-4-5 triangle. You often find scaled versions of it in algebra and geometry problems. Here, it is scaled by a factor of 4 to give a 12-16-20 triangle as half of the display screen.
The 3-4-5 triple is the only Pythagorean triple that is an arithmetic sequence. So, if the difference in side lengths is 4 and the diagonal is 5×4, you can be pretty certain that x = 4×4 and x-4 = 4×3.
The three numbers: 12, 35, 37
Applying these number to Pythagorean theorem…
a2+b2=c2
So,
12^2+35^2=37^2
144+1225=1369
1369=1369
As you can see both are equal (1369=1369), so we have a right angle triangle. If both sides are not equal then it is not classified as a right angle triangle.
“d”
you know b cannot work because the x is raised to the x^2 which would be a diff graph
a does not work because -x^3 the graph would be flipped
c is incorrect because the five is in the negative region; not positive
