Answer:
(2x+9) ^3
Step-by-step explanation:
(((8 • (x3)) + 729) + (22•33x2)) + 486x
((23x3 + 729) + (22•33x2)) + 486x
Factoring: 8x3+108x2+486x+729
8x3+108x2+486x+729 is a perfect cube which means it is the cube of another polynomial
In our case, the cubic root of 8x3+108x2+486x+729 is 2x+9
Factorization is (2x+9)3
Hope this helped
X = y - 8
Step by step
Y = x + 8
x + 8 = y
-8 -8
x = y - 8
Answer:
CD = √11 and CE = √11
Step-by-step explanation:
We know that m∠D is 45° (by using the sum of interior angles in a triangle) so therefore, ΔDCE is a 45 - 45 - 90 triangle (the 45, 45, and 90 refer to the angle measures). The ratio of sides in a 45 - 45 - 90 triangle is 1 : 1 : √2 where the 1s are the sides and the √2 is the hypotenuse. We need to solve for x in x : x : √22. If you notice that √22 = √2 * √11, we can use this to find x, therefore, x = 1 * √11 = √11 so CD = √11 and CE = √11.
1/4x+4/4x = -6/2x+1/2x
5/4x = -5/2x
x=0
The picture in the attached figure
we know that
m ∠ 6=123.5°
m ∠6+m∠2=180°-------> by supplementary angles
so
m∠2=180-m∠6-----> 180-123.5------> m∠2=56.5°
m∠1=m∠2--------> by corresponding angles
so
m∠1=56.5°
the answer ism∠1 is 56.5°