<span>a^3 - b^3 = (a - b) </span><span>(<span>a^2 + </span>ab + b^2)
</span><span>so
x^3 - 4^3 = (x - 4)(x^2 + 4x + 16)
hope it helps</span>
Answer: 4,111.7 mm³
Step-by-step explanation:
You need to use this formula to calculate the volume of the square pyramid:
Where "s" is the lenght of any side of the square base and "h" is the height of the pyramid.
Find the height with the Pythagorean Theorem:
Where "a" is the hypotenuse and "b" and "c" are the legs of the right triangle. Let be "c" the height of the pyramid.
You can identify in the figure that:
Then, you can find the height:
Then, knowing that:
You can calculate the volume:
Answer:
La medida del polígono que es igual al radio de la circunferencia es el segmento de recta comprendido entre el centro geométrico del polígono y cualquiera de sus vértices, cuyo nombre es también <em>radio</em>.
Step-by-step explanation:
La medida del polígono que es igual al radio de la circunferencia es el segmento de recta comprendido entre el centro geométrico del polígono y cualquiera de sus vértices, cuyo nombre es también <em>radio</em>.
<span>Evaluate ƒ(–3) for ƒ(x) = –5x2 + 2x –1.
</span>ƒ(x) = –5x2 + 2x –1
First, Substitute x by -3 in the formula of the function and calculate as follows.
ƒ(-3) = –5x2 + 2x –1
Apply the Order of Operations.
ƒ(-3) = –5(-3)^2 + 2(-3) –1
Simplify
ƒ(-3) = –5(9) + 2(-3) –1
ƒ(-3) = –45 -6 –1
ƒ(-3) = -52
Therefore, The function of ƒ(–3) for ƒ(x) = –5x2 + 2x –1 is -52
