Answer:
BC = 96
Step-by-step explanation:
Since AD is an altitude, then ∠ ADC = 90° , thus
4x + 10 = 90 ( subtract 10 from both sides )
4x = 80 ( divide both sides by 4 )
x = 20
Thus
BC = BD + DC
= 2x + 3x - 4
= 5x - 4
= 5(20) - 4 = 100 - 4 = 96
Answer:
(x - 2)(x² + 2x + 4)
Step-by-step explanation:
A difference of cubes factors in general as
• a³ - b³ = (a - b)(a² + ab + b² )
note 8 = 2³ = 8 ⇒ b = 2 , with a = x
Hence
x³ - 8
= x³ - 2³
= (x - 2)(x² + 2x + 2²) = (x - 2)(x² + 2x + 4)
Answer:
£17.59
Step-by-step explanation:
100 + 10 = 110% (Price of a ticket after increase)
110% = 19.35
1% = 19.35 ÷ 110 = 0.1759
100% = 0.1759 x 100 = 17.59
<span> −3|x + 7| = −12
* </span><span> −3(x + 7) = −12
-3x - 21 = -12
-3x = -12 + 21
-3x = 9
x = 9/-3
x = -3
</span>
* −3*[ -(x + 7)] = −12
3x + 21 = -12
3x = -12 -21
3x = -33
x=-33/3
x = -11
answer:
x = -11 and x = -3