Answer:
(-1,2)
Step-by-step explanation:
The norm of a vector 
is equal to the square root of the inner product of with itself.
a. 
b. 
Answer: F / 0.15 = 100F / 15 = 20F / 3 ≈ 6.67F.
Explanation:
1) The three expresssions, F / 0.15; 15 F / 100; 3F / 20; are equivalent.
2) The number of figurines Kat owned last year may be expressed in terms of the number the of figurines purchased, F, this year, and the 15%, following this procedure:
- Call n the amount of figurines owned last year.
- F is the number of figurines purchased: F = 15%n = 0,15n
- Hence, you just need to clear F from the expression F = 0.15n
- Divide both sides by 0.15:
F / 0.15 = n or n = F / 0.15 (reflexive property)
- To prove the equialavence of the other expresssions you just have to use the properties of multiplication or division:
(F / 0.15) × (100 / 100) = 100F / 15
100F / 15 = (100/5)F / (15/5) = 20F / 3 ≈ 6.67F
Answer:
x=3
y=11
Step-by-step explanation:
y = 3x + 2 equation 1
y = 7x - 10 equation 2
using equation 1 in equation 2 we have:
3x + 2 = 7x - 10
2=7x - 3x -10
2 = 4x -10
2+10 = 4x
12= 4x
12/4 = x
we have:
x= 3
using equation 1:
y = 3x + 2
y= 3(3)+2
y=9+2
y=11
