Answer:
Part A:
(2x+7)(5x+9)
=(2x+7)(5x+9)
=(2x)(5x)+(2x)(9)+(7)(5x)+(7)(9)
=10x2+18x+35x+63
=10x2+53x+63
A)
The formula for determining the area of a rectangle is given as
Area = length × width
Given that the length and width are (2x + 6) units and (5x + 3) units, the expression for the area is
(2x + 6)(5x + 3) = 10x² + 6x + 30x + 18
Area = 10x² + 36x + 18
B)
The degree is 2 because the highest power of the terms is 2. It is classified as a trinomial because it has 3 terms.
C) it is closed under multiplication. the exponents in the polynomials are whole numbers(2 and 1). The whole numbers are closed under addition, which means that the new exponents formed are also whole numbers. The exponents were whole numbers before multiplication and doesn't change after multiplication.
Step-by-step explanation:
Now the width is w.
It's twice as long as wide, so now the length is 2w.
If the length is increased by 4 cm, the length will be 2w + 4.
The width is decreased by 3 cm, so the width will be w - 3.
The are of the new rectangle is 100 cm^2.
area = length * width
area = (2w + 4)(w - 3)
The area of the new rectangle is 100, so we get
(2w + 4)((w - 3) = 100
2w^2 - 6w + 4w - 12 = 100
2w^2 - 2w - 112 = 0
w^2 - w - 56 = 0
(w - 8)(w + 7) = 0
w - 8 = 0 or w + 7 = 0
w = 8 or w = -7
A width cannot be negative, so discard w = -7.
w = 8
The width is 8 cm.
The length is twice the width, so the length is 16 cm.
Answer:
0.900
Step-by-step explanation:
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Answer:
Step-by-step explanation:
2x - 9y = 23
5x - 3y = -12x - 9y = 23
5x - 3y = -1
1.25 divided by 8 =0.15635×100=15.6% or round up to 16%
