The dot product will have you multiply the corresponding coordinates and add up the products
v dot w = (6*(-7)) + (7*5) + (-3*2)
v dot w = -42 + 35 - 6
v dot w = -7 - 6
v dot w = -13
Answer: -13
The answer to this equation is 7
It is y+1=0.9(x+4) because the formula is y - y1=m(x + x1) you only need one point and the slope. If you have two points, you need to find the slope by using the slope formula slope=y2-y1/x2-x1. Filling it in it would look like slope=7-(-1)/5-(-4). The double negatives cancel each other out and it turns to addition signs leaving us with slope=7+1/5+4 so the slope is 8/9 or 0.9. Now you can fill out the point-slope formula y+1=0.9(x+4)
An average of 6 hours per day
Answer: Please, see the attached file.
Thanks.
Solution:
We can graph using the intercepts:
(1) y-intercept, when x=0
y=4x-3→y=4(0)-3→y=0-3→y=-3
Point=(x,y)=(0,-3)
(2) x-intercept, when y=0
y=4x-3→0=4x-3
Solving for x: Adding 3 both sides of the equation:
0+3=4x-3+3
3=4x
Dividing both sides of the equation by 4:
3/4=4x/4
3/4=x
x=3/4=0.75
Point=(x,y)=(3/4,0)=(0.75,0)
With these pair of points (0, -3) and (0.75,0) we can draw the right line
