Answer:
Step-by-step explanation:
Let 
. We have that 
if and only if we can find scalars 
such that 
. This can be translated to the following equations:
1. 
2.
3. 
Which is a system of 3 equations a 2 variables. We can take two of this equations, find the solutions for 
and check if the third equationd is fulfilled.
Case (2,6,6)
Using equations 1 and 2 we get
whose unique solutions are 
, but note that for this values, the third equation doesn't hold (3+2 = 5 
6). So this vector is not in the generated space of u and v.
Case (-9,-2,5)
Using equations 1 and 2 we get
whose unique solutions are 
. Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.p explanation:
It seems like you put the same equation up there twice, but no worries! :)
8x + 32 = 2(25x - 15) - 11x
Simplify.
8x + 32 = 50x - 30 - 11x
Add like terms.
8x + 32 = (50x - 11x) - 30
Simplify.
8x + 32 = 39x - 30
Now we must subtract 32 from both sides.
8x = 39x - 30 - 32
Then, subtract 39x from both sides.
8x - 39x = -30 - 32
Simplify.
-31x = -62
Finally, divide both sides by -31.
-31x ÷ -31 = -62 ÷ -31
Simplify.
x = 2
~Hope I helped!~
The answer to your question is 37.5.
Answer:
C = 2 * π * R = 2 * π * 14 = <u>87.9646 cm</u>
Step-by-step explanation:
All this means is that the perimeter, or circumference, is the distance or length around a shape or object. And the area is the amount of space inside the thing.
In today’s geometry lesson, you will review the formulas for finding the area and perimeter of basic geometric shapes.
