Answer:
Step-by-step explanation:
<span>The square root of -16 is an imaginary number and a complex number. Sqrt(-16)=4i. We use the i to indicate that the number is imaginary since there is no number that can be multiplied by itself to get a negative number (a negative times a negative is a positive, and a positive times a positive is also a positive). So the use of i tells you immediately that it's an imaginary number. You can tell the number is complex because it has both a real and an imaginary part and could be written in the form a+bi, where a is a real number and bi is an imaginary number. In this specific case, the real part (a) is 0 and the imaginary part (bi) is 4i.</span>
Answer:
-9
Step-by-step explanation:
Simplify the following:
7 - 8/4 (3^2 - 1)
Hint: | Evaluate 3^2.
3^2 = 9:
7 - 8/4 (9 - 1)
Hint: | Subtract 1 from 9.
9 - 1 = 8:
7 - 2×8
Hint: | Divide 8 by 4.
8/4 = (4×2)/4 = 2:
7 - 2×8
Hint: | Multiply -2 and 8 together.
-2×8 = -16:
7 + -16
Hint: | Subtract 16 from 7.
7 - 16 = -9:
Answer: -9
Answer:
30 minutes
Step-by-step explanation:
If we have 2 points, we can find the slope
m = (y2-y1) / (x2-x1)
(0,24) and (5,20)
m = (20-24)/(5-0)
= -4/5
We know the y intercept (where x=0) (0,24)
We can write an equation for the line in y =mx+b
y = -4/5x+24
We want y = 0 (when the diameter is 0)
0 = -4/5 x +24
Subtract 24 from each side
-24 = -4/5 x +24-24
-24 = -4/5 x
Multiply each side by -5/4 to get x alone
-5/4 * -24 = -5/4 * -4/5 x
30 = x
-- "three non-zero digits";
so the last one can't be zero
-- "digits cannot be repeated" and "the first two digits are 9 and 8";
so the last one can't be 9 or 8
-- What's left ?
1, 2, 3, 4, 5, 6, or 7 . . . . . . . Seven possibilities.
-- Probability = (number of possible successes) / (number of possibilities)
That's 1/7 . (choice-D)
