**Answer:**

h(x)=x2−19 and g(x)=x2

**Step-by-step explanation:**

Since yz is the tangent

angle zyx=90

by pyth. theorem

15 ²=4 ²+ZY ²

ZY=c

**Answer:**

The acceleration in the system and in the rope is same as 5.88 m/s2.

**Step-by-step explanation:**

The figure shows two blocks of m1 = 0.8 Kg and m2 = 0.2 kg if the block of mass m2 is dragged by the block of mass m1 calculate the acceleration of the system and the acceleration of the rope

Let the acceleration is a and the tension in the string is T.

Use Newton's second law

-2.9a + 6.8 + 4.4a - 7.3

Combine like terms.

1.5a - 0.5 is your answer.

**Answer:**

He can fit 2 more DVD's on the shelf.

And he'll have about 12 mm of extra space left.

**Step-by-step explanation:**

40×1.4 = 56cm This is the length of space the 40 DVD's will take up.

60-56 = 4cm This is the amount of space left.

4/1.4 = 2.857 the number of DVD's that will fit.

Of course, the decimal represents a partial DVD which is worthless.

Just to be sure, 2×1.4 = 2.8cm OK. But 3×1.4= 4.2cm which is 2mm too much