With u = <-7, 6> and v = <-4, 17>, we have
u + 3v = <-7, 6> + 3 <-4, 17> = <-7, 6> + <-12, 51> = <-19, 57>
We want to find a vector w such that
u + 3v + w = <1, 0>
Subtract u + 3v from both sides to get
w = <1, 0> - (u + 3v) = <1, 0> - <-19, 57>
w = <20, -57>
Answer:
y = 
x
Step-by-step explanation:
the equation of a line passing through the origin is
y = mx ( m is the slope )
calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 3) ← 2 points on the line
m = 
= 
=
y = x ← equation of line
Answer:
50
Step-by-step explanation:
Let the numbers be 3x, 4x, 5x
(3x)^3 + (4x)^3 + (5x)^3 = 216000
27x^3 + 64x^3 + 125x^3 = 216000
216x^3 = 216000
x^3 = 1000
x = 10
5x = 5(10) = 50
Answer: 50
-13-56/14+9=
-69/23=-3
-48+36/12=
-12/12=-1
