Answer:
A = 1100cm^2
Step by step Explanation:
given the dimensions of width and length of the picture are x+20 by 2x-10 and the frame is a constant 5 cm wider from the edge of the picture to the frame, than the area of the frame is defined as (x+30)(2x)-(x+20)(2x-10) = 30x+200.
If the width is equal to the length which I assume is true if the width is constant.
than x+30=2x, which means x = 30.
if this is true than 30(30)+200 = 1100cm^2
These are independent events so
P(A and B) = P(A) * P(B)
Therefore
P(Both gears fail) = 0.05 * 0.08 = 0.004 or 0.4%
Answer:
C.
Step-by-step explanation:
Easiest and fastest way to determine your answer is to graph the systems of inequalities on a graphing calc. Once you do so, you should be able to see that Choice C is the correct answer.
Answer:

Or if you want with the value of h too.

Step-by-step explanation:

Find the value of h and k by using the formula.

From y = x²-2

Substitute these values in the formula.

Therefore, h = 0.

Therefore, k = - 2.
From the vertex form, the vertex is at (h, k) = (0,-2). Substitute h = 0, a = 1 and k = -2 in the equation.

These type of equation where b = 0 can also be both standard and vertex form.