A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. A parabola intersects its axis of symmetry at a point called the vertex of the parabola. You know that two points determine a line.
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Answer:
Step-by-step explanation:
Given expression:
Rewrite 72 as (36 · 2), 12 as (4 · 3), and 192 as (64 · 3):
Apply the radical rule 
:
Rewrite 36 as 6², 4 as 2², and 64 as 8²:
Apply the radical rule 
:
Simplify:
Answer:
day and night
Step-by-step explanation:
that is the answer
Answer:
50
Step-by-step explanation:
Diagonals of a parallelogram bisect each other. So HK = JK and GK = LK.
HK = JK
c − 7 = 3c − 33
26 = 2c
c = 13
GK = LK
c + 12 = LK
13 + 12 = LK
25 = LK
GL is the sum of GK and LK:
GL = GK + LK
GL = 2LK
GL = 50
Answer:
What if you have to push a heavy object up a ramp? Say, for example, you have to move a refrigerator. You want to go camping, and because you expect to catch plenty of fish, you decide to take your 100-kilogram refrigerator with you. The only catch is getting the refrigerator into your vehicle (see the figure). The refrigerator has to go up a 30-degree ramp that happens to have a static coefficient of friction with the refrigerator of 0.20 and a kinetic coefficient of friction of 0.15. The good news is that you have two friends to help you move the fridge. The bad news is that you can supply only 350 newtons of force each, so your friends panic.
The minimum force needed to push that refrigerator up the ramp has a magnitude Fpush, and it has to counter the component of the weight of the refrigerator acting along the ramp and the force due to friction.
The first step in this problem is to resolve the weight of the refrigerator into components parallel and perpendicular to the ramp. Take a look at the figure, which shows the refrigerator and the forces acting on it. The component of the weight of the refrigerator along the ramp is
Step-by-step explanation:
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