Answer:
17, 19, 21
Step-by-step explanation:
x = first number
x+2 = second number
x+4 = third number
4x + 3(x+2) + 2(x+4) = 167
simplify:
4x + 3x + 6 + 2x + 8 = 167
combine like terms:
9x + 14 = 167
subtract 14 from each side of the equation:
9x = 153
divide both sides by 9:
x = 17
-3^2= -(3)^2
The exponent of 2 only applies to the number 3. -(3)^2 should equal -9. This is true because according to the order of operations, exponents should be evaluated before multiplication. The negative sign here represents -1* 3^2.
If you want to find -3 to the power of 2 it must be written (-3)^2.
Answer:
43.68
Step-by-step explanation:
Answer: 254,34 mm².
Step-by-step explanation:

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.