Answer:
W is not a subspace.
Step-by-step explanation:
Notice that (-1,2,2) and (-1,5,3) are both elements of W. Because its x coordinate, x = -1, satisfy the condition |x| = 1.
but (-1,2,2) + (-1,5,3) = (-2,7,5) do not belongs to W. Because its first coordinate, x =-2, do not satisfy |x| = 1.
Answer:
shorter base = 6 yd
longer base = 8 yd
area of playground = 42 yd^2
Step-by-step explanation:
The question tells you that the shorter side is equal to the width, which is 6 yds. The bases of the triangles on either side are 1 yd. Since there are two, add 1 twice to 6 (6+1+1). This gives you 8 yd for the longer base. You're right about the area, just use the trapezoid area formula: 1/2h(a+b).
Answer:
91%
Step-by-step explanation:
The first step is to calculate the increase
= 1635-858
= 777
Therefore the percent increase can be calculated as follows
= 777/858 × 100
= 0.905× 100
= 90.5 %
= 91%
Hence the percentage increase is 91%
For this case we have the following expression:
By definition of properties of powers and roots we have to:
![a ^ {\frac {m} {n}} = \sqrt [n] {a ^ m}](https://tex.z-dn.net/?f=a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D%20%3D%20%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D)
Then, we can rewrite the expression as:
![\sqrt [8] {4 ^ 3}](https://tex.z-dn.net/?f=%5Csqrt%20%5B8%5D%20%7B4%20%5E%203%7D)
Answer:
![4 ^ {\frac {3} {8}} = \sqrt [8] {4 ^ 3}](https://tex.z-dn.net/?f=4%20%5E%20%7B%5Cfrac%20%7B3%7D%20%7B8%7D%7D%20%3D%20%5Csqrt%20%5B8%5D%20%7B4%20%5E%203%7D)
