Answer:
Correct answer: V = 82.5 in³
Step-by-step explanation:
This is a regular five sided prism.
Given:
The base edge a = 4 in
The radius of the inscribed circle or the height of an isosceles triangle
Ri = h = 2.75 in
Prism height H = 3 in
The base consists of five isosceles triangles
The area of one triangle is:
A₁ = a · h / 2
The area of the base is:
B = 5 · A₁ = 5 · a · h / 2
B = 5 · 4 · 2.75 / 2 = 27.5 in²
The volume of the prism is:
V = B · H = 27.5 · 3 = 82.5 in³
V = 82.5 in³
God is with you!!!
The midpoint is the average of the endpoint coords.
If (x,y) is F, then -6=(-14+x)/2 and 7=(13+y)/2.
<span>-14+x=-12 so x=2, and 14=13+y, so y=1 and F is (2,1).</span>
f(x) should be in canonical form. So it must have the form
Where a is the main coefficient and is the vertex
Step-by-step explanation:
A quadratic function has a unique extreme value in its vertex. That value might be a maximum or a minimum depending on the sign of the main coefficient of the quadratic function. In order to quickly obtain the vertex, the quadratic must be written in canonical form. That means that f(x) must have the form
Where a is the main coefficient (which should be negative so that a minimum exists in the first place) and is the vertex. If f(x) is written in that form, then it will be easier to find the minimum of f(x), which is the vertex
Hence for the quadratic function below
Hence there is only one x- intercept and answer is (2, -9)
9514 1404 393
Answer:
- 0.404 . . . cm/day
- the average growth per day in cm
Step-by-step explanation:
The slope is the x-coefficient in the equation, 0.404.
The slope is the rate of change of the dependent variable (height) with respect to the independent variable (number of days). In this case, it is the average increase in the plant's height each day, in cm.
