Vertical Free Fall and Constant Horizontal Motion.
Answer:
∠RPQ = 27
Step-by-step explanation:
In ΔSRQ,
∠R = 90
∠SQR = 36°
∠R + ∠SQR + ∠RSQ = 180 {Angle sum property of triangle}
90 + 36 + ∠RSQ = 180
126 + ∠RSQ = 180
∠RSQ = 180 - 126
∠RSQ = 54°
∠PSQ +∠RSQ = 180 {Linear pair}
∠PSQ + 54 = 180
∠PSQ = 180 - 54
∠PSQ = 126
In ΔPSQ,
SQ = PS ,
So, ∠SQP = ∠SPQ {Angles opposite to equal sides are equal}
∠SQP = ∠SPQ =x
∠PSQ + x +x = 180 {Angle sum property of triangle}
126 + 2x = 180
2x = 180 - 126
2x = 54
x = 54/2
x = 27
∠RPQ = 27°
Answer:
<em>The salesperson needs to sell 10 stereos to make the same money on both plans</em>
Step-by-step explanation:
We'll analyze both choices for the compensation plans of a salesperson.
One plan offers a fixed weekly salary of $250 plus a $25 commission for each stereo sold. The function than models this plan is:
P1=250+25x
Where x is the number of stereos sold.
The other plan offers no fixed salary but a $50 commission on each stereo sold. The function of this plan is:
P2=50x
To find the equilibrium point for both plans, we make P1=P2:
250+25x=50x
Simplifying:
25x=250
Solving:
x = 250 / 25 = 10
The salesperson needs to sell 10 stereos to make the same money on both plans
2

Suggesting that you want this in standard form, in terms of quadratic equations, you would technically follow a process similar if not almost exactly like the 2 - step equation method with the exception of separating the (x)s and the equations to find x and then plug it in and what-not.
With that being said you would subtract 5 in (x+5) from said 5 in the second equation and -10 in the first equation in order to get 2x^2+7x-15, you would continue to do the same for the x by subtracting it from both ends making the 7x a 6x because there is a 1 at the beginning of each x if there is no number that is shown already. Which finally gives you the equation (y= 2x^2+6x-15)
Answer:
7 units because (6x-22)=(2×+6)