Answer:
(x, y) = (-0.6, 0.8) or (1, 4)
Step-by-step explanation:
Use the second equation to substitute for y in the first.
(x -1)² +((2x +2) -2)² = 4
x -2x +1 + 4x² = 4 . . . . . . . eliminate parentheses
5x² -2x -3 = 0 . . . . . . . . . . subtract 4, collect terms
Now we can rearrange the middle term to ease factoring by grouping.
(5x² -5x) +(3x -3) = 0
5x(x -1) +3(x -1) = 0
(5x +3)(x -1) = 0
The values of x that make these factors zero are ...
x = -3/5, x = 1
The corresponding values of y are ...
y = 2(-3/5)+2 = 4/5 . . . . for x = -3/5
y = 2(1) +2 = 4 . . . . . . . . for x = 1
The solutions are: (x, y) = (-3/5, 4/5) or (1, 4).
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A graphing calculator verifies these solutions.
Answer:
x ≈ 1.28
Step-by-step explanation:
I just took the exam:
Area of rectangle =(3x-1)(x+6), Area of circle = PI(x+1)^2. If you graph these and find where they intersect, you will get x ≈ 1.28.
I hope this helped! :)
Answer:
AB = 25 units
Step-by-step explanation:
In right triangle ACB,
Therefore, by geometric mean property:

AB = AD + DB
AB = 20 + 5
AB = 25 units
5 and 0 and 8
5thousand 0 hundred 8millionnn
<u> P = 2(L +W)</u>
Divide each side of the equation by 2 : P/2 = L + W
Subtract W from each side : <em> P/2 - W = L</em>