Answer:
<em>The family will need to purchase 187 square ft carpeting.</em>
Step-by-step explanation:
<u>Area of Rectangles</u>
Given a rectangle with width W and length H, the area is calculated as follows:
A = W * H
The new carpet of the family has the shape provided in the figure. We have completed the shape to add some missing dimensions by adding and subtracting the given lengths. Please refer to the attached image.
The total area of the carpet is the sum of the areas of three rectangles.
The rectangle at the bottom has dimensions 3 ft x 20 ft, thus its area is:
A1 = 3 ft * 20 ft = 60 square ft
The rectangle at the middle has dimensions 3 ft x 17 ft, thus its area is:
A2 = 3 ft * 17 ft = 51 square ft
The rectangle at the top has dimensions 4 ft x 19 ft, thus its area is:
A3 = 4 ft * 19 ft = 76 square ft
The total area of the carpet is:
A = 60 square ft + 51 square ft + 76 square ft
A = 187 square ft
The family will need to purchase 187 square ft carpeting.
Answer:
Step-by-step explanation:
This linear graph will be shifted downward by 2 1/2 units: first, from y = 1/2 to the x-axis, and next, from the x-axis by 2 more units, for a total shift of 2 1/2 units.
Answer:
x3 – 7x2 + 3------ x3 - 7x2 + 3
3x3 + x2-----------x2 • (3x + 1)
x2 + 4x - 3------------ x2 + 4x - 3
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
((x3) - 7x2) + 3
Step 2 :
Polynomial Roots Calculator :
2.1 Find roots (zeroes) of : F(x) = x3-7x2+3
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is 3.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,3
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -5.00
-3 1 -3.00 -87.00
1 1 1.00 -3.00
3 1 3.00 -33.00
Hope this helps.
I think the greatest common factor is 4 x 4.
Square root of (675 b^3 c^2 d^4 )
