Answer:
14 and 21 and 28
Step-by-step explanation:
2:3:4.
The shortest side is 14
14/2 = 7
Multiply each side by 7
2*7:3*7:4*7
14 : 21 : 28
A and C
Slope is the rate of change so when its magnitude is increased, the steepness of the line is increased.
Negative slopes go down from left to right.
<span><span> 15x2y2+3x3y+75x4</span> </span>Final result :<span> 3x2 • (25x2 + xy + 5y2)
</span>
Step by step solution :<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span><span> (((15•(x2))•(y2))+((3•(x3))•y))+(3•52x4)
</span><span> Step 2 :</span></span><span>Equation at the end of step 2 :</span><span><span> (((15•(x2))•(y2))+(3x3•y))+(3•52x4)
</span><span> Step 3 :</span></span><span>Equation at the end of step 3 :</span><span> (((3•5x2) • y2) + 3x3y) + (3•52x4)
</span><span>Step 4 :</span><span>Step 5 :</span>Pulling out like terms :
<span> 5.1 </span> Pull out like factors :
<span> 75x4 + 3x3y + 15x2y2</span> = <span> 3x2 • (25x2 + xy + 5y2)</span>
Trying to factor a multi variable polynomial :
<span> 5.2 </span> Factoring <span> 25x2 + xy + 5y2</span>
Try to factor this multi-variable trinomial using trial and error<span>
</span>Factorization fails
Final result :<span> 3x2 • (25x2 + xy + 5y2)
</span><span>
</span>
Answer:
3 (x + 4)
Step-by-step explanation:
Simplify the following:
5 x + 6 (x - 2) - 8 (x - 3)
6 (x - 2) = 6 x - 12:
5 x + 6 x - 12 - 8 (x - 3)
-8 (x - 3) = 24 - 8 x:
6 x + 5 x + 24 - 8 x - 12
Grouping like terms, 6 x + 5 x - 8 x - 12 + 24 = (5 x + 6 x - 8 x) + (-12 + 24):
(5 x + 6 x - 8 x) + (-12 + 24)
5 x + 6 x - 8 x = 3 x:
3 x + (-12 + 24)
24 - 12 = 12:
3 x + 12
Factor 3 out of 3 x + 12:
Answer: 3 (x + 4)
