Answer:
Component form of u is (-18,13)
The magnitude of u is 22.2
Step-by-step explanation:
The component form of a vector is an ordered pair that describe the change is x and y values
This is mathematically expressed as (Δx,Δy) where Δx=x₂-x₁ and Δy=y₂-y₁
Given ;
Initial points of the vector as (14,-6)
Terminal point of the vector as (-4,7)
Here x₁=14,x₂=-4, y₁=-6 ,y₂=7
The component form of the vector u is (-4-14,7--6) =(-18,13)
Finding Magnitude of the vector
║u=√(x₂-x₁)²+(y₂-y₁)²
║u=√-18²+13²
║u=√324+169
║u=√493
║u=22.2
Answer:
• Shift 5 units to the left >>> f(x) = |x+5|
• Shift 4 units down >>> f(x) = |x| - 4
Step-by-step explanation:
If we have the parent function:
f(x) = |x|
<u>For horizontal translations:</u>
- |x-a| means horizontally translated a units right
- |x+a| means horizontally translated a units left
<u>For Vertical translation:</u>
- |x| + b means vertically translated b units up
- |x| - b means vertically translated b units down
From the translation rules, we can say:
Shift 5 units left would be:
|x+5|
and
Shift 4 units down would be:
|x| - 4
Answer:
Step-by-step explanation:
The easiest way to tell if a relation is a function is to look at the x coordinates. If none of them are the same in the set, then the relation is a function. If any of the x values are used more than once in the set, it is only a relation. This set uses -3 two times, so it is a relation.
Answer:
8) answer=5 9)answer=15
Step-by-step explanation:
all you have to do is replace in the following formula

Where
X1: is the first number of the first point
Y1: is the second number of the first point
X2: is the first number of the second point
Y2: is the second number of the second point
you replace in the formula and solve
I attach solution
Answer:
85%
Step-by-step explanation:
Convert fraction (ratio) 170 / 200 Answer: 85%