Integrate <span>f ''(x) = −2 + 36x − 12x2 with respect to x:
f '(x) = -2x + (36/2)x^2 - (12/3)x^3 + c. Find c by letting x = 0 and using f(0)=8.
Then f '(0) = -2x + 18x^2 - 4x^3 + c = 18 (which was given).
Then -0 + 0 - 0 + c = 18, so c = 18 and
f '(x) = </span>-2x + 18x^2 - 4x^3 + 18.
Go through the same integration process to find f(x).
Tina does not have enough rope to decorate the frame
Step-by-step explanation:
Tina wants to decorate a rectangular picture frame
- The width of the frame is 18 inches
- The length of the frame is 14 inches
- She has 4 feet rope
We want to know if she has enough rope or not to decorate the frame
∵ The frame is in the shape of the rectangle
- The length of the rope must be equal the perimeter of the frame
∵ The perimeter of a rectangle = 2 length + 2 width
∵ The length = 14 inches
∵ The width = 18 inches
∴ The perimeter of the frame = 2(14) + 2(18) = 28 + 36 = 64 inches
∵ The length of the rope is 4 feet
∵ 1 foot = 12 inches
∴ The length of the rope = 4 × 12 = 48 inches
∵ 48 < 64
∴ The length of the rope is less than the perimeter of the frame
∴ Tina does not have enough rope
Tina does not have enough rope to decorate the frame
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Answer:
It doesn't matter
Step-by-step explanation:
Negative by negative = positive
It depends on how much the computer game costs.
Answer:
distance formula= 
= find the length(units) using coordinates.
slope formula= 
= determines slope of a line using two points on the line(coordinates)
When working with polygons the main properties which are important are:
The number of sides of the shape.
The angles between the sides of the shape.
The length of the sides of the shape.
length , width
straight lines , angles, vertices, vertex
A polygon is any 2-dimensional shape formed with straight lines.
a plane figure with at least three straight sides and angles, and typically five or more.
Step-by-step explanation:
<h2><u>
answer= use distance and slope to determine that opposite side of a polygon are the same length and same slope</u></h2>
