Answer: (C) It can be shown that W = x y z ∈ R 3 : x + 2y − 4z = 0 and y − 3z = 0 is a subspace of the vector space R 3 , and the dimension of W is 2.
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
Angle Q and angle P are supplementary angles, so they add up to 180 degrees.
6x + 4 + 10x = 180
16x + 4 = 180
16x = 176
x = 176/16
x = 11
Put x in angle Q as 11 and solve.
6(11) + 4
66 + 4
= 70
Angle Q measures 70 degrees.
Answer:
=153 in^2
Step-by-step explanation:
We have a rectangle and a trapezoid
We can add the areas together
The area of the rectangle is
A = l*w where l =16 and w =3
A = 16*3 = 48 in^2
The area of the trapezoid
A = 1/2 (b1+b2)*h where b1 =16, b2=5 and h = 10
A = 1/2 (16+5) *10
= 1/2 (21) *10
=105 in^2
Then we add the areas together
A total = A rectangle + A trapezoid
A total = 48+ 105
=153 in^2
Answer:
![=-0.5z+0.3](https://tex.z-dn.net/?f=%3D-0.5z%2B0.3)
Step-by-step explanation:
Given
![(-0.5z+0.9z)-(-0.3+0.9z)=](https://tex.z-dn.net/?f=%28-0.5z%2B0.9z%29-%28-0.3%2B0.9z%29%3D)
Required
Simplify
Start by removing brackets
![= -0.5z+0.9z+0.3-0.9z](https://tex.z-dn.net/?f=%3D%20-0.5z%2B0.9z%2B0.3-0.9z)
Collect Like Terms
![=-0.5z+0.9z-0.9z+0.3](https://tex.z-dn.net/?f=%3D-0.5z%2B0.9z-0.9z%2B0.3)
![=-0.5z+0.3](https://tex.z-dn.net/?f=%3D-0.5z%2B0.3)