It’s Critiquect on my alt, cause KATIE keeps on deleting literally everything I post. It’s literally so annoying omg
Answer:
![T(3u+2v)=(-10,29)](https://tex.z-dn.net/?f=T%283u%2B2v%29%3D%28-10%2C29%29)
Step-by-step explanation:
T is a linear transformation, hence it is homogeneous (T(cr)=cT(r) for all real c and r∈ℝ³) and additive (T(r+s)=T(r)+T(s), for all r,s∈ℝ³). Apply these properties with r=3u and s=2v to obtain:
![T(3u+2v)=T(3u)+T(2v)=3T(u)+2T(v)=3(-2,5)+2(-2,7)=(-6,15)+(-4,14)=(-10,29)](https://tex.z-dn.net/?f=T%283u%2B2v%29%3DT%283u%29%2BT%282v%29%3D3T%28u%29%2B2T%28v%29%3D3%28-2%2C5%29%2B2%28-2%2C7%29%3D%28-6%2C15%29%2B%28-4%2C14%29%3D%28-10%2C29%29)
We don't have an explicit definition of T, so it's more difficult to compute T(3u+2v) directly without using these properties.
Answer:
Step-by-step explanation:
The surface area of a cylinder is 2pi *rh + 2pir^2, where r and h are radius and height, respectively. (If you want me to explain this, comment down below). Anyways, we can simply plug in 11 and 8 in the formula, so 2* 8*11*pi + 2* pi * 8^2=304pi. Thus, we do 304 * 3.14=954.56.
The point is reflected across the x axis. hope this helps you :)
Answer:
Option (B) is correct.
Allison biweekly gross pay is $942.31
Step-by-step explanation:
Given annual salary offered to Allison = $24,500.
We have to calculate Allison biweekly pay that is pay Allison got for 2 weeks
To calculate biweekly we first find Allison weekly pay then multiply it by 2.
We know there are 52 weeks in a year.
So, weekly salary offered to Allison
(approx)
Biweekly salary will be = 2 × weekly salary
= 2 × 471.15
= 942.307(approx)
Thus, Allison biweekly gross pay is $942.31