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
Jill is picking up everyone's waterbill so she is paying $60 plus $125 (being half of the water bill) so that comes out to $185.
D=185 in this case
Ron is paying for 1/3 of the rent plus the other half of the water bill. That comes out to 1/3R+125.
A=1/3R+125
And then Jack is paying for Jill's rent as well as his own. That is 2/3 of the rent.
C=2/3R
and then the choice not used is the 'no match' option. Hope this helps :)
Answer:
y = -X + 4 is the equation for the line below
<span>2(30)+2x=860
This is because the 4 sides of the rectangle add up to the perimeter.
The unknown side is x, and there are two of those, and there are also two sides of 30.
They all add up to the perimeter.
So:
2(30) + 2x = 860</span>
Answer: 2 : 7
Step-by-step explanation:
Number of boys = 4
Number of girls = 10
Total number of students = total number of boys + total number of girls ,that is
Total number of students = 4 + 10
= 14
Therefore , the ratio in the simplest form that compares number of boys to total number of students is given by
number of boys : total number of students , that is
4 : 14
which will be
2 : 7 in the simplest form