Answer:
-36
Step-by-step explanation:
-48+12=-36
Answer:
1.) subtract = 1 1/3 - 3 1/2 = answer
2.) subtract = 6 3/4 - 1 1/2 = answer
3.) add = 3 1/4 + 2 1/8= answer
4.) subtract = 4 3/4 - 2 1/6 = answer
Step-by-step explanation:
5.) 3 lawns = 6 3/4 hrs
1st lawn 2 1/2 hrs
2nd lawn 1 3/4 hrs
add 2 1/2 + 1 3/4 = total
then 6 3/4 hrs - total = the amount it takes to mow the 3rd lawn
im sure u know how to add and subtract fractions is u r in middle school :)
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:
9.85 units
Step-by-step explanation:
^ rounded to the nearest hundreth
using the distance formula
