D = sq.root of((x2 - x1)^2 + (y2 - y1)^2)
sq.root of 13 = sq.root of((x - (-2))^2 + (1 - 3)^2)
= sq.root of((x + 2)^2 + (-2)^2)
= sq.root of (x^2 + 4x + 4 + 4)
= sq.root of (x^2 + 4x + 8)
Now if we square both sides:
x^2 + 4x + 8 = 13
x^2 + 4x - 5 = 0
(x + 5)(x - 1) = 0
x = -5 or x = 1
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❖ There are a total of 18 marbles.
In order to get 18, we have the ratio 2:1. 2 represents the blue marbles and 1 represents the red marbles. We now have 12 blue marbles in a box. 2 x 6 = 12 so we are multiplying by 6. What we do to one number, we do to the other so 1 x 6 = 6 . Add 12 + 6 = 18
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Answer:
Axis of symmetry: x=-2
Maximum point: (-2,8)
Step-by-step explanation:
The given function is 
.
We can complete the square to reveal the axis of symmetry and the vertex.
We factor to get:
We add the zero pairs and obtain a perfect square:
The function is now in the form 
, where V(h,k) =(-2,8) is the vertex.
Answer:
60
Step-by-step explanation:
This is a simple question.
Good luck!
