Answer:
25 units
Step-by-step explanation:
No matter the direction of the vector, if we multiply the vector v by -5v, the magnitude can be calculated as follows:
![|-5*V|](https://tex.z-dn.net/?f=%7C-5%2AV%7C)
Due to properties of absolute value:
![|-5*V|=5*|V|=5*(5units) = 25 units](https://tex.z-dn.net/?f=%7C-5%2AV%7C%3D5%2A%7CV%7C%3D5%2A%285units%29%20%3D%2025%20units)
Answer:
y < Two-thirdsx – 1
Step-by-step explanation:
use the information about the straight line to find equation of the line.
Given coordinates (-3,-3) and (3,1) find the slope
Slope, m=change in y/change in x
Change in y= 1--3=4
Change in x=3--3=6
m=4/6=2/3
Equation of line using m=2/3 and points (3,1) and (x,y) inform of y=mx+c
![\frac{y-1}{x-3} =\frac{2}{3} \\\\\\3(y-1)=2(x-3)\\\\\\3y-3=2x-6\\\\\\3y=2x-6+3\\\\\\3y=2x-3\\\\\\y=\frac{2}{3} x-1](https://tex.z-dn.net/?f=%5Cfrac%7By-1%7D%7Bx-3%7D%20%3D%5Cfrac%7B2%7D%7B3%7D%20%5C%5C%5C%5C%5C%5C3%28y-1%29%3D2%28x-3%29%5C%5C%5C%5C%5C%5C3y-3%3D2x-6%5C%5C%5C%5C%5C%5C3y%3D2x-6%2B3%5C%5C%5C%5C%5C%5C3y%3D2x-3%5C%5C%5C%5C%5C%5Cy%3D%5Cfrac%7B2%7D%7B3%7D%20x-1)
To write the inequality take a point in the shaded region and test it in the above equation
For example taking point (4,1)
![y=\frac{2}{3} x-1\\\\1=\frac{2}{3} *4-1\\\\\\1=\frac{8}{3} -1\\\\\\1=2.7-1\\\\\\1=1.7\\\\\\1](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7D%20x-1%5C%5C%5C%5C1%3D%5Cfrac%7B2%7D%7B3%7D%20%2A4-1%5C%5C%5C%5C%5C%5C1%3D%5Cfrac%7B8%7D%7B3%7D%20-1%5C%5C%5C%5C%5C%5C1%3D2.7-1%5C%5C%5C%5C%5C%5C1%3D1.7%5C%5C%5C%5C%5C%5C1%3C1.7%5C%5C%5C%5C%5C%5Cy%3C%5Cfrac%7B2%7D%7B3%7D%20x-1)
Answer:
8
Step-by-step explanation:
16/8=2
24/8=3
each packet will have 2 pencils and 3 erasers
Answer:
Elvira - $15.15
Miguel - $15.15
Stefan - $15.15
Anna - $20
Laura - $10
Step-by-step explanation:
Total - $75.45
Total people - Elvira, Miguel, Stefan, Anna and Laura (5)
Anna pays $20
Laura pays $10
5 - 2 = 3
3 people pay equally
$20 + $10 = $30
$75.45 - $30 = $45.45
![\frac{45.45}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B45.45%7D%7B3%7D)
$15.15 each
It would be associative property of multiplication because you are shifting the parentheses from around a and b to 4 and a; and if you plug in 1 for a and 2 for b, you will find that both sides equal 8. Hope this helps! :)