12. (x-√3)(x+1) = x² + (1-√3)x - √3
13. (x+2)(x²+4) = x³ + 2x² + 4x + 8
14. (3x³ + 6x² - 5x + 12) ÷ (x-3)
= [(x - 3)(3x² + 15x + 40) + 132 ] ÷ (x-3)
Quotient = 3x² + 15x + 40
Remainder = 132
What is a spotter and you give no numbers or diagram
Answer:
-5 is the answer
Hope it will be helpfull....
Remove all the brackets
3(7 + 2x) + 3 = 3(5 + x) − 9(x + 1)
21 + 6x + 3 = 15 + 3x - 9x - 9 Collect like terms.
24 + 6x = 6 - 6x Add 6x to both sides.
24 + 6x + 6x = 6 Subtract 24 from both sides
12x = 6 - 24
12x = - 18 Divide by 12
x = - 18 /12
x = - 1.5
Check
3(7 + 2*(-1.5)) + 3 = ? 3(5 + -(1.5) - 9(-1.5 + 1)
3(7 - 3) + 3 =? 3(3.5) - 9*(-1/2)
3*4 + 3 =? 10.5 + 4.5
12 + 3 =? 15 And it checks.
If x be one angle then its complementary angle = 90-x
therefore we can write the equation:-
x - (90- x) = 84.8
2x -90 = 84.8
2x = 174.8
x = 174.8 / 2 = 87.4 degrees
and its complement = 90 - 87.4 = 2.6 degrees
