X² + 2x = 24
Organizing:
x² + 2x - 24 = 0
<<<< (<em>Quadratic </em><span><span><em>equation</em>)
</span>
</span><span>Delta:
</span>Δ = b²<span> - 4.a.c </span>
Δ = 2²<span> - 4 * 1 * -24 </span>
<span>Δ = 4 - 4 * 1 * -24 </span>
Δ = 100
<span>Bhaskara:
</span><span>x = (-b +- √Δ)/2*a
</span>
x' = (-2 + √100)/2*1
x' = 8 / 2
x' = 4
x'' = (-2 - √100)/2*1
x'' = -12 / 2
x'' = -6
Result: x = 4 or<span> x = - 6 .
</span>
Good studies! :)
Answer:
∠ RQU = 25°
Step-by-step explanation:
The opposite angles of an inscribed circle are supplementary, thus
∠ URS + ∠ UTS = 180°, that is
∠ URS + 124° = 180° ( subtract 124° from both sides )
∠ URS = 56°
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ URS is an external angle to Δ QUR, that is
∠ RQU + 31° = 56° ( subtract 31° from both sides )
∠ RQU = 25°
The absolute value of 78 is < the absolute value of -222
Answer:
<u>6</u>
<u>4</u>
<u>12</u>
<u>72</u>
Step-by-step explanation:
Base is 6 in
Height is 4 in
To get the area of a triangle is 1/2 Base × Height
Being 1/2(6)(4) = 12
To get the area of a rectangle is Length × Width being 9 × 8 = 72
Number of pallets moved in 4.5 hours = 108
converting 4.5 hours in minutes we get,
4*60 + 0.5*60 = 240+30 = 270 minutes
So, 108 pallets were moved in = 270 minutes
1 pallet was moved in = 
minutes
As the tie will get over in 2 hours or 2*60 = 120 minutes, the number of pallets that can be moved will be = 
pallets.
Hence, 48 pallets can be moved before quitting time.
