Which values of a, b, and c represent the answer in simplest form?
1 answer:
You might be interested in
Answer:
The length of the diagonal of the cube = √(3 × 10²) = √300 cm
Step-by-step explanation:
* Lets revise the properties of the cube
- It has six equal faces all of them are squares
- It has 12 vertices
- The diagonal of the cube is the line joining two vertices in opposite
faces (look to the attached figure)
- To find the length of the diagonal do that:
# Find the diagonal of the base using Pythagoras theorem
∵ The length of the side of the cube is L
∵ The base is a square
∴ The length of the diagonal d = √(L² + L²) = √(2L²)
- Now use the diagonal of the base and a side of a side face to find the
diagonal of the cube by Pythagoras theorem
∵ d = √(2L²)
∵ The length of the side of the square = L
∴ The length of the diagonal of the cube = √[d² + L²]
∵ d² = [√(2L²)]² = 2L² ⇒ power 2 canceled the square root
∴ The length of the diagonal of the cube = √[2L² + L²] = √(3L²)
* Now lets solve the problem
∵ The length of the side of the square = 10 cm
∴ The length of the diagonal of the cube = √(3 × 10²) = √300 cm
- Note: you can find the length of the diagonal of any cube using
this rule Diagonal = √(3L²)
Answer:
<em>he rank from least to great based on their axis of symmetry: </em>
0, 1, -3 ⇒ g(x), h(x), f(x)
So, <em>option C</em> is correct.
Step-by-step explanation:
A quadratic equation is given by:
Here, a, b and c are termed as coefficients and x being the variable.
<em>Axis of symmetry can be obtained using the formula</em>
Identification of a, b and c in f(x), g(x) and h(x) can be obtained as follows:
⇒ a = 1, b = 6 and c = -1
⇒ a = -1, b = 0 and c = 2
⇒ a = 2, b = -4 and c = 3
So, axis of symmetry in will be:
x = -6/2(1) = -3
and axis of symmetry in will be:
x = -(0)/2(-1) = 0
and axis of symmetry in will be:
x = -(-4)/2(2) = 1
<em>So, the rank from least to great based on their axis of symmetry: </em>
0, 1, -3 ⇒ g(x), h(x), f(x)
So, <em>option C</em> is correct.
<em>Keywords: axis of symmetry, functions</em>
<em>Learn more about axis of symmetry from brainly.com/question/11800108</em>
<em>#learnwithBrainly</em>