(Sqr.3)/2 not a or b or c
Answer: 1,372
Reasoning:
980 divided by 5 = 196
196 times 7 = 1,372
Step-by-step explanation:
expanded = 3n + 18
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I assume that the parabola in this particular problem is one whose axis of symmetry is parallel to the y axis. The formula we're going to use in this case is (x-h)2=4p(y-k). We know variables h and k from the vertex (1,20) but p is not given. However, we can solve for p by substituting values x and y in the formula with the y-intercept:
(0-1)^2=4p(16-20)
Solving for p, p=-1/16.
Going back to the formula, we can finally solve for the x-intercepts. Simply fill in variables p, h and k then set y to zero:
(x-1)^2=4(-1/16)(0-20)
(x-1)^2=5
x-1=(+-)sqrt(5)
x=(+-)sqrt(5)+1
Here, we have two values of x
x=sqrt(5)+1 and
x=-sqrt(5)+1
thus, the answers are: (sqrt(5)+1,0) and (-sqrt(5)+1,0).
Answer:
5 > k
Step-by-step explanation:
-45 < -9k
Switch sides
-9k > -45
Multiply both sides by -1 (reverse the inequality)
( -9k )( -1 ) < ( -45 )( -1 )
Simplify
9k < 45
Divide both sides by 9
9k/9 < 45/9
Simplify
K < 5