For this problem, you will have to use PEMDAS (Parentheses) (Exponents) (Multiplication/Division) (Addition/Subtraction)
First of all, you will want to solve for the values inside the parentheses first
40 <span>÷ 1+3-(21)+7-5 Now check for anything that includes multiplication/division and do that
40+3-21+7-5 All you have left now is addition and subtraction. It must go from left to right, therefore if addition is first, do addition, if subtraction is first, then do subtraction.
Final answer = 24</span>
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:
X=17
Step-by-step explanation:
7x-1+5x-23=180
12x-24=180
12x=204
x=17
Answer:
0.1338 to the nearest ten thousandth.
Step-by-step explanation:
40 / 299
= 0.1337792642
Answer:
36 and
12
Step-by-step explanation:
When x = 4 and
y = 9
All you have to do is plug in the values
xy = 4 x 9 = 36
3x = 3 x 4 = 12
