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VMariaS [17]
3 years ago
10

ALGEBRAIC PROOF!!!! PLS HELP!!! The area of a rectangular blanket is 20 square feet. The blanket's length is (2x + 1) ft and the

blanket's width is 2x ft. find the dimensions of the blanket. provide justification for each step.
Mathematics
1 answer:
Fynjy0 [20]3 years ago
7 0

Answer:

Length: 5 ft; width: 4 ft.

Step-by-step explanation:

A = LW     formula for area of rectangle

(2x + 1)(2x) = 20      substitute length, width, and area into formula

4x² + 2x - 20 = 0      use the distributive property to multiply out left side

2x² + x - 10 = 0         divide both sides of equation by 2

(2x + 5)(x - 2) = 0        factor out trinomial

2x + 5 = 0  or  x - 2 = 0        use zero product rule to solve for x

2x = -5  or x = 2       subtract 5 from both sides; add 2 to both sides

x = -5/2  or  x = 2

We discard x = -5/2 since it would give negative length and width, and the length and width cannot be negative.

Length: 2x + 1 = 2(2) + 1 = 5

Width: 2x = 2(2) = 4

Length: 5 ft; width: 4 ft.

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Find the 88th term of the arithmetic sequence 26, 28, 30, ...
elena-s [515]

Answer:

200

Step-by-step explanation:

The nth term of an arithmetic sequence is given as:

f(n) = a + (n - 1)d

where a = first term

d = common difference

The first term of the sequence is 26 and the common difference is 2 (28 - 26 = 2)

The 88th term of the sequence is therefore:

f(88) = 26 + (88 - 1)*2

f(88) = 26 + (87 * 2)

f(88) = 26 + 174

f(88) = 200

The 88th term is 200.

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3 years ago
a cylinder and a cone start with the same radius and height the radius of the cone is then trippled and the height of the cone i
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Answer:

Therefore the cone is the greatest relative increase in volume.

Step-by-step explanation:

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Original cylinder = π(h)r^2

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gayaneshka [121]

Answer:

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