To determine the scale factor of the dilation, we determine the distances between the endpoints of the two lines through the equation,
d = √(x₂ - x₁)² + (y₂ - y₁)²
Substituting the known values.
Line Segment 1: d = √(1 - 2)² + (4 - 8)² = 4.123
Line Segment 2: d = √(18 - 14)² + (12 - 1)² = 11.70
Dividing the answers will give us 0.352
Answer:
5/16
Step-by-step explanation:
In 5/2 the time, we expect that 5/2 × 1/8 = 5/16 of the test will be complete.
_____
5/2 × (2/5 h) = 1 h
Answer:
c = 2
Step-by-step explanation:
6c + 3y = 18
6c + 3(2) = 18
6c + 6 = 18
6c = 12
c = 2
1. 8^3 * 8^2, 8^5, and (2^3)^5
2. 6^9, and 6^5 x 6^4
Answer:
18 lawns
Step-by-step explanation:
Expected sum = $515
Bonus for 1 day = $15
Bonus for 5 days = $15 × 5 = $75
Amount to be earned from mowing lawns in 5 days = $515 - $75 = $440
$25 ≡ 1 lawn
$440 ≡ 440 ÷ 25 = 17.6
The minimum number of lawns is 18.
<em>(Note that we take the minimum integer greater than 17.6. If he mows 17 lawns, his earning from 17 lawns = $425 + $75 = $500)</em>