Hi there!
The general formula of A line in slope-intercept form is the following:

In this formula m represents the slope of the line. Therefore, we can conclude that m = 2/5.

We also know that the line passes through the point (-3, -1) and we can therefore substitute this coordinate into the formula of the line.
x = -3 and y = -1

Multiply first.

And finally add 1 1/5 to both sides of the equation.

We can now switch sides.

Now we've found our value of n, which we can substitute into the formula of our line. Hence, in slope-intercept form, we find the following:
F1 = 6*cos(30) i + 6*sin(30) j = 5.20 i + 3 j
<span>F2 = 0 i + 5 j </span>
<span>R = F1 + F2 </span>
<span>Add the 'i's together (x direction) and the 'j's together (y direction) </span>
<span>R = (5.20 + 0) i + (3 + 5) j = 5.2 i + 8 j </span>
<span>Magnitude: </span>
<span>||R|| = </span>√<span>(5.2^2 + 8 ^2) = </span>√<span>91 = 9.54 </span>
<span>Direction: </span>
Θ<span> = atan ( Rj / Ri ) = atan( 8 / 5.2 ) = 57.0</span>⁰
Answer:
15%.
Step-by-step explanation:
3200 x .15 = 480
3200 - 480 = 2720
Feel free to let me know if you need more help! :)
Answer:
201.06
Step-by-step explanation:
First we need to know how much the discount was so 5% is actually 0.05 then we need to multiply it by 53.75 which would equal 2.6875 then subtract it by 53.75 which would equal -51.0625.
B) .95(53.75)
This is a trick question because D) could also be correct if they said you could subtract it but it's not saying use the distributive property.