Answer:
= 2x²( 2x+ 1) + 2x
or
= 2x (2x² + x + 1)
Step-by-step explanation:
Given in the question two functions,
f ( x ) = 9x³ + 2x² − 5x + 4
g ( x ) = 5x³ − 7 x + 4
To find,
f ( x ) − g ( x )
Substitute each functions
= 9x³ + 2x² − 5x + 4 - ( 5x³ − 7 x + 4 )
Remove parentheses
= 9x³ + 2x² − 5x + 4 - 5x³ + 7 x - 4
Combine like terms and add them up
= 4x³ + 2x² + 2x
Factorise
= 2x²( 2x+ 1) + 2x
or
= 2x (2x² + x + 1)
So the final answer in factored form is 2x²( 2x+ 1) + 2x or 2x (2x² + x + 1)
This can't be further factorise because answer will be in complex numbers
21 is the least common denominator of 7 and 3
I hope you can open the attachment.
The expression is 2x + 5
starting at 1 and ending at 8
Answer:
A
Step-by-step explanation:
law of sine
c/sin(C) = b/sin(B) = a/sin(A)
with the sides and corresponding angles being always opposite.
sin(90) = 1
sin(30) = 0.5
c, the Hypotenuse, is the longest side in such a right-angled triangle.
c/1 = b/0.5
b = c×0.5 = c/2
so, one side has to be half the length of the longest side (Hypotenuse).
the only answer meeting that criteria is A.
the longest side is 10×sqrt(3) = 17.32...
the side half of that is 5×sqrt(3).
and Pythagoras for such a triangle is then
c² = (c/2)² + a²
c² = c²/4 + a²
so, a² = 3c²/4
c² = c²/4 + 3c²/4
therefore we can check also the third side
15² = 3×(5×sqrt(3))² = 3×25×3 = 3×75 = 225 = 15²
correct.
A is such a triangle.
Answer:
i will help u if u help me
Step-by-step explanation:
