Answer:
Length of the escalator is 33.94 feet.
Step-by-step explanation:
In the attached figure we can see that
It is given that
angle = 45
Vertical Height 'V' = 24 feet
Applying values in the above equation we get
Answer: Inside (depending on your definition).
Step-by-step explanation: Finding the volume of a solid means measuring what space that solid takes up. Volume is a measure of how much matter an object is made up of. Technically, finding the volume of a solid does not mean finding the "inside" or "outside" of a solid. If you are referring to the surface area of a solid as the outside, then the answer to your question would be the inside of the solid.
Answer:
f(x) = 4*(x+2)*(x-4) factorized formula
f(x) = 4x^2 - 8x - 32 polynomical formula
Step-by-step explanation:
Lets assume the factorized formula of a quadratic function:
f(x) = a*(x-x1)^2 * (x-x2)^2
where "a" is a coefficient and x1, x2 are the roots of the function. Then replacing the given roots:
f(x) = a*(x+2)*(x-4)
because its told us that -36 is the minimum value of the function we can say that its concave, then this value is actually the component in the Y axis of the vertex. To find the component in the X axis of the vertex we have to make the adding between the roots and divide this value by 2, this last is because a quadratic function is a symetrical function. Lets call the component at the X axis of the vertex as Xv, then:
Xv=(x1+x2)/2
Xv=(-2+4)/2
Xv=1
Therefore now we have a point of the function and its P=(1,-36) this point is the vertex of the function too.
Now the last thing to do is to find the value of the coefficient "a". We can find it by replacing the point of the vertex obtained before.
-36 = a*(1+2)*(1-4)
-36 = a*(3)*(-3)
-36 = a*(-9)
4 = a
Finally the equation is:
f(x) = 4*(x+2)*(x-4)
if we expand this function we find the polynomical form of this function
f(x) = 4x^2 - 8x - 32
Shapes are the outlines formed from a given area of figure. The characteristics of shapes vary and depend on what the given shape is. Here are the characteristics of a quadrilateral, triangle, and square.
<span><span>1. </span>Quadrilateral- Quadrilaterals should have four sides and four corners. As long as these two are present, you can call any shape a quadrilateral regardless of how it is formed.
</span><span><span>2. </span>Square- A square is a quadrilateral, so it must contain four sides and four corners. However, a square has its sides and corners equally made.
</span><span><span>3. </span>Triangle- A triangle should have three sides or vertices and three corners. </span>
