Answer is C. 8, 3, 6
To answer this, you must know the Triangle Inequality Theorem.
The two shortest sides when added together, must be greater than the longest side.
A. 2 + 4= 6 which can't work since it equals the longest side of 6
B. 4 +2=6 The sum would be less than 8, which doesn't work
C. 6 +3 = 9 the sum is greater than 8, which makes it a triangle
D. 3 +8 = 11 11 is less than 12
Answer:
n = 6 + 
or n = 6 -
Step-by-step explanation:
We can solve this equation using the quadratic formula OR Completing the Square method.
n² + 14 = 12n
rearrange : n² - 12n + 14 = 0
here a= 1 , b = -12, c = 14
the quadratic formula says: x = - b/ (2a) + root(b^2 - 4ac) / (2a)
or x = - b/ (2a) - root(b^2 - 4ac) / (2a)
x = - (-12)/ (2) + root((-12)^2 - 4*14) / (2)
x = 6 + root (144 - 56) / 2
x = 6 + root(88)/2
x = 6 + root(4*22) / 2
x = 6 + 2*root(22)/2
x = 6 + root(22) = 6 +
so x =6 + or x = 6 -
In this case x = n
n = 6 + or n = 6 -
Where is the graph ??
Please provide the graph so that we can answer your questions ....
Hello,
If we want to factor the expression, we have to solve
3x² + 10x + 8 = 0
a = 3 ; b = 10 ; c = 8
∆ = b² - 4ac = 10² - 4 × 3 × 8 = 4 > 0
x1 = (-b - √∆)/2a = (-10 - 2)/6 = -12/6 = -2
x2 = (-b + √∆)/2a = (-10 + 2)/6 = -8/6 = -4/3
Factor :
a (x - x1)(x - x2)
= 3(x + 2)(x + 4/3)
= (x + 2)(3x + 4)
Answer:
D) 75%
Step-by-step explanation:
75% of 24 = 0.75 x 24 = 18
