First, move all terms containing a to the left, all other terms to the right.
Add '2b' to each side of the equation.4a + -2b + 2b = 16 + 2b
Combine like terms: -2b + 2b = 04a + 0 = 16 + 2b4a = 16 + 2b
Divide each side by '4'.a = 4 + 0.5b
Answer
= 4 + 0.5b
Happy studying ^-^
The square root of 6 is 2.449...
and that is closest to 3
Answer:
They ran it equally
Step-by-step explanation:
89/100 equals 0.89: 89 divided by 100 = 0.89.
Answer: 0.15 is equivalent to 3/20
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
