Answer:
The area of the triangle with the given vertices is 10 square units
Step-by-step explanation:
x y
D 3 3
E 3 -1
F -2 -5
D 3 3
Area: A=Abs [(xd ye + xe yf + xf yd) - (yd xe + ye xf + yf xd)] /2
Absolute value: Abs
A = Abs { [(3)(-1)+(3)(-5)+(-2)(3)] - [(3)(3)+(-1)(-2)+(-5)(3)] } / 2
A = Abs [ (-3-15-6)-(9+2-15) ] / 2
A = Abs [ (-24)-(-4) ] / 2
A = Abs ( -24+4) / 2
A = Abs (-20) / 2
A = 20 / 2
A = 10 square units
Answer:
n = - 4, n = 10
Step-by-step explanation:
Since the point (6, n) lies on the circle then the coordinates of the point make the equation true.
Substitute x = 6 and y = n into the equation
(6 - 1)² + (n - 3)² = 74, that is, expanding using FOIL
5² + n² - 6n + 9 = 74 ← simplifying
34 + n² - 6n = 74 ( subtract 74 from both sides and rearrange )
n² - 6n - 40 = 0 ← in standard form
(n - 10)(n + 4) = 0 ← in factored form
Equate each factor to zero and solve for n
n - 10 = 0 ⇒ n = 10
n + 4 = 0 ⇒ n = - 4
The values of n are - 4 and 10
Here, we need to check for all pairs by substituting the value of x & y,
1) 11 + 11 = -14(-2-2)
sides are not equal.
2) -11 + 11 = -14(2 - 2)
0 = 0
sides are equal.
In Short, Your Answer would be Option 2
Hope this helps!
Answer:
n=6
Step-by-step explanation:
six less than what number is zero
n-6 =0
add 6 to each side
n-6+6 =0+6
n = 6
The equation would be 20-m=n
Say you drank 10 ounces, and plug it into the equation:
20-10=n
10=n