Question

-1/2

Answer 1

Find the distance between point
�
(
3
,

8
)
A(3, 8) and
�
(
16
,

11
)
B(16, 11). Round your answer to the nearest tenth.

Answer 2

(2×10
9
) ÷
(
8
×
1
0
3
)
(8×10
3
)

Answer 3

multiplication

Answer 4

To rationalize the expression -1/2, you can multiply the numerator and denominator by -2 to eliminate the negative sign and simplify the fraction:

(-1/2) * (-2/-2) = 2/(-2) = -1.

Therefore, -1/2 rationalizes to -1.

Answer 5

To find the distance between two points (x1, y1) and (x2, y2), you can use the distance formula:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of point A are (3, 8) and the coordinates of point B are (16, 11). Substituting these values into the formula:

Distance = √((16 - 3)^2 + (11 - 8)^2)
= √(13^2 + 3^2)
= √(169 + 9)
= √178
≈ 13.34

Therefore, the distance between points A(3, 8) and B(16, 11) is approximately 13.34 units.

Answer 6

To simplify the expression (2×10^9) ÷ (8×10^3), we can simplify the numerator and denominator separately.

The numerator is 2 times 10 raised to the power of 9, which can be written as 2×10^9.

The denominator is 8 times 10 raised to the power of 3, which can be written as 8×10^3.

When we divide both of these numbers, we subtract the exponents of 10 in the numerator and denominator:

2×10^9 ÷ (8×10^3) = 2 ÷ 8 × 10^(9 - 3).

The division of 2 by 8 is 0.25:

0.25 × 10^(9 - 3) = 0.25 × 10^6.

10 raised to the power of 6 is 1,000,000:

0.25 × 1,000,000 = 250,000.

Therefore, the simplified expression is 250,000.