Answer:
8( 3x+2y) ( 9x^2 -6xy +4y^2)
Step-by-step explanation:
216x^3 + 64y^3
Factor out the greatest common factor of 8
8( 27x^3 +8y^3)
Rewriting
8 ( (3x)^3 + (2y)^2))
Recognizing this as the difference of cubes)
a^3 + b^3 = (a+b) (a^2-ab+b^2)
8 ( (3x)^3 + (2y)^2)) = 8( 3x+2y) ( 9x^2 -(3x)(2y) +4y^2)
=8( 3x+2y) ( 9x^2 -6xy +4y^2)
Answer:
A1: 40/3 = 13.33
A2: 1/2 = 20 (half of 40) 40/20 = 2
9514 1404 393
Answer:
see below
Step-by-step explanation:
It is easiest to compare the equations when they are written in the same form.
The first set can be written in slope-intercept form.
y = 2x +7
y = 2x +7 . . . . add 2x
These equations are <em>identical</em>, so have infinitely many solutions.
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The second set can be written in standard form.
y +4x = -5
y +4x = -10
These equations <em>differ only in their constant</em>, so have no solutions.
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The third set is already written in slope-intercept form. The equations have <em>different slopes</em>, so have exactly one solution.
Answer:
<h2>B = 18°</h2>
Step-by-step explanation:
To find angle B we use tan
tan ∅ = opposite / adjacent
From the question
AC is the opposite
BC is the side adjacent to angle B
So we have
tan B = AC / BC
tan B = 6/9
tan B = 1/3
B = tan-¹ 1/3
B = 18.43°
B = 18° to the nearest hundredth
Hope this helps you