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
Using squares of integers numbers, it is found that the solution of the equation is located between the integers x = 1 and x = 2.
The equation given is:
The solution of the equation given is:
The squares of the integers numbers until the square root of 3 are:
Since 
, the square root of 3, which is the solution to the equation, is located between the integers x = 1 and x = 2.
A similar problem is given at brainly.com/question/3729492
Answer:
825/3 = 275 which is how many miles she drove in January.
275*4= 1100 which is how many miles she drove in February.
Ms. Turner drove 1100 miles in February.
Step-by-step explanation:
Answer:
Matt should have factored out the leading coefficient 2 on the second step before completing the square
Step-by-step explanation:
To complete the square, you must first factor the leading coefficient from the first two terms.
y = 2x² − 10x − 4
y = 2 (x² − 5x) − 4
y = 2 (x² − 5x + 25/4 − 25/4) − 4
y = 2 (x² − 5x + 25/4) − 25/2 − 4
y = 2 (x − 5/2)² − 33/4
Answer:
i don't know but I think question 1 is 64
