The answer is 1 7/30 hope this helps
<span><span> 15x2y2+3x3y+75x4</span> </span>Final result :<span> 3x2 • (25x2 + xy + 5y2)
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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)
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Answer:
Length is 7.7 and width is 9.2
Step-by-step explanation:
The length and width of the rectangle will be the y and x coordinate of the diagonal line at angle of 40 degrees
Length L = dsin theta
Width W = d coos theta
d is the length of the diagonal
Given
d = 12
theta = 40°
Substitute
Length = 12sin40°
Length = 12(0.6428)
Length = 7.7135
Length ≈ 7.7
Width = 12cos 40
Width = 12(0.7660)
Width = 9.192
Width = 9.2
Hence the length is 7.7 and width is 9.2
Answer: 12 movies
if they receive a coupon for every four movies, and a bag of popcorn for every three movies, you need to find the LCM (lowest common multiple) of the two numbers, which is 12.
