Answer:
Step-by-step explanation:
Volume of a pyramid = 
Area of the rectangular base = Length × Width
= 8 × 6
= 48 mm²
Volume of the pyramid = 192 mm³
192 = 
h = 
h = 12 mm
Therefore, all the pyramids having height less than 12 mm will be fitted inside the given pyramid.
Height of the box(mm) Yes/No
10 Yes
13 No
8 Yes
The answer is B! It passes the vertical line test
Answer:
The expression 5(4x - 7) + 3(3x + 3) can be simplified to 29x - 26
Step-by-step explanation:
The first step in solving this is to apply coefficients to the contents of the brackets:
5(4x - 7) + 3(3x + 3)
= 5 × 4x - 5 × 7 + 3 × 3x + 3 × 3
= 20x - 35 + 9x + 9
Now you can group like terms:
20x - 35 + 9x + 9
= 20x + 9x - 35 + 9
= (20 + 9)x - 26
= 29x - 26
And that is the final answer.
Answer:
The domain of g(x) is -3 to infinity
Step-by-step explanation:
Given
Required
Determine the domain of g(x)
We start by expressing the content of the square root in the following form:
Subtract 3 from both sides
This can be expressed using interval notation as follows:
<em>Hence, the domain of g(x) is -3 to infinity</em>
Set y1=x+30 and y2=x^2, plugged those into the distance formula assuming x=a<span>,
</span><span>
d=rad(<span>(y2−y1<span>)^2)
</span></span></span><span>d(x)=x^2−x−30
</span>All you have to do is to maximize the given quadratic function. I hope that this is the answer that you were looking for and it has helped you.
