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.
Answer:
26.6 m
Step-by-step explanation:
Given the figures are similar
linear ratio = a : b
area ratio = a² : b²
here
area ratio = 16 : 25, then
linear ratio = 4 : 5 ( square root of both area ratio parts )
let the perimeter of the larger figure be x, then by proportion
= ( cross- multiply )
4x = 106.5 ( divide both sides by 4 )
x ≈ 26.6
Hence perimeter of larger figure is approximately 26.6 m
Answer:
77
Step-by-step explanation:
i took the test
Answer:
(Equation 1)
(Equation 2)
We can substitute Equation 1 into Equation 2 like so:
Subtract x from both sides:
Divide both sides by 2:
.
Substitute into Equation 1 to find y:
Answer:
75°
Step-by-step explanation:
Find the difference between the angles.
112 - 37 = 75