1/4 exact form, 0.25 decimal form.
Answer:
b = -1
Step-by-step explanation:
use distributive property to multiply the -2 with the numbers in the parentheses
3 - 2b + 4 = 2 - 7b
7 - 2b = 2 - 7b
add 2b to both sides
7 = 2- 5b
subtract 2 from both sides
5 = -5b
divide by -5
b = -1
Answer:
a)The component form is

b)The magnitude is √65
c) <2,14>
Step-by-step explanation:
Recall that:

We substitute the position vectors to get:

We subtract the corresponding components to obtain:

This gives:

This simplifies to:

The magnitude of a vector in the component form:

is

This means:

This simplifies to:


c) We have the vectors u = <4, 8>, v = <-2, 6>.
We want to find:
u+v
This implies that:
u+v=<4,8>+<-2,6>
We add the corresponding components to get;
u+v=<4+-2,8+6>
This simplifies to:
u+v=<2,14>
Answer: (4, 5)
Work:
Substitute the y in the second problem with y=x+1
3x-2(x+1)=5
3x-2x+1=5
x=4
Now solve for y
y=4+1
y=5