Answer:
Sum of cubes identity should be used to prove 35 =3+27
Step-by-step explanation:
Prove that : 35 = 8 +27
Polynomial identities are just equations that are true, but identities are particularly useful for showing the relationship between two apparently unrelated expressions.
Sum of the cubes identity:
Take RHS
8+ 27
We can write 8 as 
and 27 as 
.
then;
8+27 = 
Now, use the sum of cubes identity;
here a =2 and b = 3
or
= LHS proved!
therefore, the Sum of cubes polynomial identity should be used to prove that 35 = 8 +27
Answer:
Yes, it's a right-angle triangle
Step-by-step explanation:
3 root 2 is 4.24
3 root 3 is 5.2
3 root 5 is 6.71
3 root 5 is the longest side, so must be the hypotenuse.
a^2 + b^2 = c^2
(3 root 3)^2 + (3 root 2)^2 = c^2
45 = c^2
Square root both sides
C = root 45
( simplified to C= 3 root 5)
Thus, it is a right-angle triangle.
(Root means a square root)
Hope this helps!
7.84 <span> 56% off 14 is equal to (56 x 56) / 100 </span>
<span>f(x) = x</span>² <span>+ 12x + 6 </span>→ y = x² + 12x + 6<span>
Let us convert the standard form into vertex form.
1) Complete the squares. Isolate x</span>² and x terms.
<span>y - 6 = x</span>² + 12x
<span>
2) Create the perfect square trinomial. Whatever number is added on one side must also be added on the other side.
y - 6 + 36 = x</span>² + 12x + 36<span>
y + 30 = (x + 6)</span>²
<span>y = (x + 6)</span>² - 30 ← Vertex form
<span>
To check:
y = (x + 6) (x + 6) - 30
y = x</span>² + 6x + 6x + 36 - 30
<span>y = x</span>² + 12x + 6<span>
The zero that could be added to the given function is 36, -36</span>
Divide both the numerator and denominator by the GCD so it’s 12/1
