<span>a³-b³=(a-b)(a²+ab+b²)
64x⁶ - 27
64 = 4³,
x⁶ = (x²)³
27 = 3³
</span>64x⁶ - 27 = 4³(x²)³ -3³ = (4x²)³ -3³. Now, we can use a formula where a=4x², b=3
(4x²)³ -3³ = (4x² -3)((4x²)² +4x²*3 + 3²) = (4x² -3)(16x⁴ +12x² + 9)
<span>
Answer: </span>64x⁶ - 27= (4x² -3)(16x⁴ +12x² + 9) <span>
</span>
9514 1404 393
Answer:
A) $1350
B) $5850
C) $162.50
Step-by-step explanation:
A) The interest is given by the formula ...
I = Prt
where P is the principal amount, r is the interest rate, and t is the number of years.
I = $4500×0.10×3 = $1350
The interest owed is $1350.
__
B) At maturity, the principal and interest are due. That amount is ...
$4500 +1350 = $5850
The maturity value is $5850.
__
C) If the maturity value is paid in 36 equal monthly installments, each is ...
$5850/36 = $162.50
The monthly payment is $162.50.
Distribute 2 to x and -2, and -6 to x and -2
2(x - 2) = 2x - 4
-6(x - 2) = -6x + 12
2x - 4 = 4x - 6x + 12
Simplify. Combine like terms
2x - 4 = (4x - 6x) + 12
2x - 4 = -2x + 12
Isolate the x. Add 4 to both sides, and 2x to both sides
2x (+2x) - 4 (+4) = -2x (+2x) + 12 (+4)
2x + 2x = 12 + 4
Simplify
4x = 16
Isolate the x. Divide 4 from both sides
4x/4 = 16/4
x = 16/4
x = 4
4 is your answer for x.
hope this helps
Two numbers that are the same distance from zero are called opposites.
-8 and 8 are Opposites.
Answer:
B) Figure B has the same number of edges as Figure A
D) Figure B has the same number of angles as Figure A
E) Figure B has angles with the same measures as Figure A
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
If Figure B is a scaled copy of Figure A
then
Figure A and Figure B are similar
therefore
<u><em>The statements that must be true are</em></u>
B) Figure B has the same number of edges as Figure A
D) Figure B has the same number of angles as Figure A
E) Figure B has angles with the same measures as Figure A
