Answer:
112
Step-by-step explanation:
cause if you calculated it it will be 112.2222 so the closest thing is 112
d = 3 , a₁₂ = 40 and S = 7775
In an arithmetic sequence the nth term and sum to n terms are
<h3>• a
= a₁ + (n-1)d</h3><h3>• S
=
[2a + (n-1)d]</h3><h3>
where d is the common difference</h3><h3>a₆ = a₁ + 5d = 22 ⇒ 7 + 5d = 22 ⇒ 5d = 15 ⇔ d = 3</h3><h3>a₁₂ = 7 + 11d = 7 +( 11× 3) = 7 + 33 = 40</h3><h3>S₁₀₀ =
[(2×7) +(99×3)</h3><h3> = 25(14 + 297) = 25(311)= 7775</h3>
Answer:
independent
Step-by-step explanation:
Dependent equations graph as the <em>same line</em>. These lines are not the same, so the equations are independent.
___
However, the lines are parallel, so the equations are also <em>inconsistent</em>. There is <em>no solution</em> to this system of equations.
Answer:
No
Step-by-step explanation:
Triangular Inequalities state that in a triangle, the sides must always be less than the sum of the other two.
You would have sides x, 2x, 3x in this case and use the inequality a+b>c.
if...
a=x, b=2x, c=3x
then...
x+2x>3x
3x>3x which is false.
Therefore you cannot make a triangle with sides proportional to 1, 2, and 3.
Answer: (5.5, -4)
Step-by-step explanation:
You can use the midpoint formula to find the midpoint of point A and point B.
x₁ = 8
x₂ = 3
y₁ = -7
y₂ = -1
Midpoint = (5.5, -4)
Hope this helps!