Answer:
24.5 unit²
Step-by-step explanation:
Area of ∆
= ½ | x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂) |
= ½ | (-1)(3 -(-4)) + 6(-4 -3) + (-1)(3 - 3) |
= ½ | -7 - 42 |
= ½ | - 49 |
= ½ (49)
= 24.5 unit²
<u>Method 2:</u>
Let the vertices are A, B and C. Using distance formula:
AB = √(-1-6)² + (3-3)² = 7
BC = √(-6-1)² + (-4-3)² = 7√2
AC = √(-1-(-1))² + (4-(-3))² = 7
Semi-perimeter = (7+7+7√2)/2
= (14+7√2)/2
Using herons formula:
Area = √s(s - a)(s - b)(s - c)
here,
s = semi-perimeter = (14 + 7√2)/2
s - a = S - AB = (14+7√2)/2 - 7 = (7 + √2)/2
s - b = (14+7√2)/2 - 7√2 = (14 - 7√2)/2
s - c = (14+7√2)/2 - 7 = (7 + √2)/2
Hence, on solving for area using herons formula, area = 49/2 = 24.5 unit²
Answer:
h<14
Step-by-step explanation:
2h+8>3h-6
2h-3h+8>-6
-h+8>-6
-h>-6-8
-h>-14
h<14
Given:
set-up fee 5,500
variable fee 1 per CD.
Cost per CD is $5.50
5.50 - 1= 4.50
5,500 / 4.50 = 1,222 CDs Choice A.
1*1,222 = 1,222
1,222 + 5,500 = 6,722
6,722/1,222 = 5.50
2 7/8 = 23/8
2 1/4 = 9/4
23/8 / 9/4 =
23/8 * 4/9 = 92/72 = 1 20/72 = 1 5/18
