I am confused on what the question is.
Cylinders are 3D figures, as they are solids with volume and take up space.
2D figures are flat figures that you can draw, like a square or circle.
1D figures are actually just a line, a segment, or a point, etc.
To have roots as described, that means we have the following factors: From multiplicity 2 at x=1 has (x-1)^2 as its factor From multiplicity 1 at x=0 has x as a factor From multiplicity 1 at x = -4 has a factor of x+4 Putting these together we get that P(x) = A (x) (x+4) (x-1)^2 Multiply these out and find P(x) = A (x^2 + 4x) (x^2 - 2x + 1) A ( x^4 - 2x^3 + x^2 + 4x^3 - 8x^2 + 4x ) Combine like terms and find P(x) = A (x^4 + 2x^3 - 7x^2 + 4x) To find A, we use the point they gave us (5, 72) P(5) = A [ (5)^4 + 2(5)^3 - 7(5)^2 + 4(5) ] = 72 A [ 625 + 250 - 175 + 20 ] = 72 A [ 720 ] = 72 Divide both sides by 720 and find that A = 0.1 Final answer: P(x) = 0.1 ( x^4 + 2x^3 - 7x^2 + 4x) or P(x) = 0.1 x^4 + 0.2 x^3 - 0.7x^2 + 0.4x
Correct Answer:
First Option
Let the first integer be n.
Since the integers are consecutive, the integer next to n will be n+1
and so the third integer will be n+2
Therefore, the three integers are:
n , n +1, n+2
Their sum is 75. So we can write the equation as:
n + (n+1) + (n+2) = 75
This equation can be used to find n. After finding n, we can find the next two integers by finding (n+1) and (n+2)
Answer:
71.60ft
Step-by-step explanation:
Hello,
The question above requires us to use find the relationship between the angle and the length of the slide.
To solve this question, it is pertinent to get the diagram correctly so as to get the answer right.
See attached document for better illustration.
From the diagram,
We have the value of the opposite side or the triangle, and the angle of depression.
Using SOHCAHTOA,
Tanθ = opposite / adjacent
θ = 31.66°
Opposite = 46ft
Adjacent = x
Tanθ = opp / adj
Tan31.66 = 46 / x
X = 46 / tan31.66
X = 46 / 0.6166
X = 71.60ft
The height of the slide is 71.60ft
