Answer:
-4
Step-by-step explanation:
PEMDAS
exponents -> 2^2 = 4
divide -> -36/4 = -9
add -> -9 + 5 = -4
Answer:
Algebra Examples
Popular Problems Algebra Find the Axis of Symmetry f(x)=x^2-5 f(x)=x2−5 Set the polynomial equal to y to find the properties of the parabola. y=x2−5
Rewrite the equation in vertex form.
y=(x+0)2−5 Use the vertex form, y=a(x−h)2+k, to determine the values of a, h, and k.a=1h=0k=−5
Since the value of a is positive, the parabola opens up.
Opens Up
Find the vertex
(h,k).(0,−5)
Find p, the distance from the vertex to the focus.
14 Find the focus.
(0,−194)
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
x=0
Answer:
The length = The width = The height ≈ 5.8 cm
Step-by-step explanation:
The volume of a rectangular pyramid, V = l × w × h
The surface area of the pyramid = 2 × l × h + 2 × w × h + 2 × l × w = 200
∴ l × h + w × h + l × w = 200/2 = 100
We have that the maximum volume is given when the length, width, and height are equal and one length is not a fraction of the other. Therefore, we get;
At maximum volume, l = w = h
∴ l × h + w × h + l × w = 3·l² = 100
l² = 100/3
l = 10/√3
Therefore, the volume, v = l³ = (10/√3)³
The length = The width = The height = 10/√3 cm ≈ 5.8 cm