Hello!
Okay, so first we need to add like terms... so first, add the terms with the same variables. That gives us:
9x + 7y + 4 + y
Now add 7y and y
That gives us:
9x + 8y + 4
This can't be added anymore... this is as far as we can go because they are no longer like terms.
Answer:
12, 14, and 16
Step-by-step explanation:
Assume
1st number: x
2nd number: x+2
3rd number: x+4
(I'm adding 2 for each number because even numbers skip by 2)
The numbers add to 42, so
x+(x+2)+(x+4)=42
x+x+2+x+4=42
3x+6=42
3x=36
x=12
1st number: 12
2nd number: 12+2=14
3rd number: 12+4=16
12, 14, and 16
Answer to problem 1 is {-144,-192}
Answer to problem 2 is {-12,-12}
-------------------------------------------------
Explanation:
Vector u is given to be u = {-18,-24}
To compute the vector 8*u, we multiply both sides by 8 and multiply each coordinate by 8
The rule I'm using is if u = (a,b) then k*u = (k*a,k*b)
So,
u = {-18,-24}
8*u = 8*{-18,-24}
8*u = {8*(-18),8*(-24)}
8*u = {-144,-192}
Problem 2 is handled the same way
f = {-2,-2}
6*f = 6*{-2,-2}
6*f = {6*(-2),6*(-2)}
6*f = {-12,-12}
