Answer: [A]: " x² − 2x <span>−</span> 1 = - x² + 3 " .
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Answer:
(x+1)(2x+1)(x+2)(x−3)
Step-by-step explanation:
Factor 2x^4+x^3−14x^2−19x^−6
2x^4+x^3−14x^2−19x^−6
=(x+1)(2x+1)(x+2)(x−3)
Answer:
The number of child tickets sold by the amusement park is 189.
Step-by-step explanation:
Let A represent the number of adult tickets and C represents the number of child tickets, therefore we have:
3:1 = C:A .................... (1)
Where;
C = ?
A = 63
Substituting for the value into equation (1), we have:
3:1 = C:63
This can be converted to solve for C as follows:
3 / (3 + 1) = C / (C + 63)
3 / 4 = C / (C + 63)
0.75 = C / (C + 63)
0.75(C + 63) = C
0.75C + (0.75 * 63) = C
0.75C + 47.25 = C
47.25 = C - 0.75C
47.25 = 0.25C
C = 47.25 / 0.25
C = 189
Therefore, the number of child tickets sold by the amusement park is 189.
Answer:
see explanation
Step-by-step explanation:
(1)
CD = CE - DE = 8 - 2 = 6
CB = CD = 6 ( given as congruent ) , thus
AC = AB + CB = 4 + 6 = 10
(2)
∠ 2 + ∠ BCD + ∠ DCF = 180° ( sum of angles on a straight line )
∠ 2 + 60° + 70° = 180°
∠ 2 + 130° = 180° ( subtract 130° from both sides )
∠ 2 = 50°
