Answer:
Points are Labeled with capital Letters, such aa P.
<h2><em>If you put and label the three points in a line, you will see that RS + ST = RT.
</em></h2><h2><em>
</em></h2><h2><em>Then you only need to substitue with the expressions given for RS and ST to find RT.
</em></h2><h2><em>
</em></h2><h2><em>RT = x +1 + 2x - 2 = 3x - 1
</em></h2><h2><em>
</em></h2><h2><em>Also, RT = 5x - 5
</em></h2><h2><em>
</em></h2><h2><em>Then, 3x - 1 = 5x - 5
</em></h2><h2><em>
</em></h2><h2><em>5x - 3x = 5 - 1
</em></h2><h2><em>
</em></h2><h2><em>2x = 4
</em></h2><h2><em>
</em></h2><h2><em>x = 4/2 = 2
</em></h2><h2><em>
</em></h2><h2><u><em>X=2</em></u></h2>
Answer:
$30,000 and $55,000
Step-by-step explanation:
If 4.5% loan is x, and the 6% loan is y, then:
x + y = 85000
0.045x + 0.06y = 4650
Solve the system of equations with substitution or elimination. Using substitution:
0.045x + 0.06(85000 − x) = 4650
0.045x + 5100 − 0.06x = 4650
450 = 0.015x
x = 30000
y = 55000
Answer:
73.3
Step-by-step explanation:
7%=7÷100=0.07 ×60=4.2
15%=15÷100=0.15×60=9
add you answers to 60 and to should get 73.2
Answer:
30 s
Step-by-step explanation:
When the ball hits the ground h=0. To find the time t when this happens we must solve the equation h=0.
●h= 0
● -12t^2+360t =0
● t(-12t +360) = 0
● t = 0 or -12t +360 =0
● t=0 or -12t = -360
● t=0 or 12t =360
● t=0 or t=360/12
● t=0 or t= 30
The equation has two solutions.
The ball was fired with an initial speed of 800 feet per second so it cannot hit the ground at t=0.
So the ball hits the ground after 30 s.
