The answer is 11/10 or 1 and 1/10
Step-by-step explanation:
Slope=9
i)
When line is parallel
y+5=9(x-6)
y+5 = 9x - 54
<h3>59 = 9x-y </h3>
When line is perpendicular
y+5=-1/9(x-6)
9(y+5)= -1(x-6)
9y + 45 = -x+6
<h3>
x+9y = -39</h3>
<h2>
MARK ME AS BRAINLIST </h2>
Answer the first is opposite and other is same
Step-by-step explanation:
The answer is going to be true
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
