Answer:
See below
Step-by-step explanation:
Assuming a number line:
rs + st = rt
3x-16 + 4x-8 = 60
7x -24 = 60
7x = 84
x = 12
Anwser:
22.5 or 5/22 or 30
Step-by-step Explanation:
-2 and -2
SSS
-2+-2= -4
-4 x 30= -120
-120 divided by 4 is 30
but that’s not a fraction so you do
22.5 or 5/22
-2 x -2 x 30=
Answer:
2197 cubic centimeters
Step-by-step explanation:
13^3=2197
Answer:
4.9x + 5y
Step-by-step explanation:
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
