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Murrr4er [49]
2 years ago
5

Set A

Mathematics
2 answers:
Luden [163]2 years ago
7 0

Answer:

b graph A, set B

Step-by-step explanation:

tekilochka [14]2 years ago
3 0

B—> Graph A, Step B

Explanation

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dlinn [17]
9.10
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Just add the rows from the top to the bottom
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2 years ago
A portrait has dimensions of 30“ x 60“ and is surrounded by a frame of uniform width. If the total area (Portrait plus frame) is
Law Incorporation [45]

Answer:

The width of the is 4 inches

Step-by-step explanation:

Assume that the width of the frame is x

∵ The width of the fame is x inches

→ That means each dimension will increase by 2x ⇒ x from each side

∵ The portrait has dimensions of 30“ x 60“

∴ Its dimensions including the frame = (30 + 2x) × (60 + 2x)

∴ The total area of the portrait plus frame = (30 + 2x)(60 + 2x)

→ Multiply the brackets

∵ (30 + 2x)(60 + 2x) = 30(60) + 30(2x) + 2x(60) + (2x)(2x)

∴ (30 + 2x)(60 + 2x) = 1800 + 60x + 120x + 4x²

→ Add the like terms

∴ (30 + 2x)(60 + 2x) = 1800 + 180x + 4x²

∴ The total area of the portrait plus frame = 4x² + 180x + 1800

∵ The total area of the portrait plus frame = 2584 square inches

→ Equate the two right sides of the area

∴ 4x² + 180x + 1800 = 2584

→ Subtract 2584 from both sides

∴ 4x² + 180x + 1800 - 2584 = 0

→ Add the like terms in the left side

∴ 4x² + 180x - 784 = 0

→ Divide all terms by 4 to simplify

∴ x² + 45x - 196 = 0

→ Factorize it to find the value of x

∵ x² + 45x - 196 = (x - 4)(x + 49)

→ Equate the right side by 0

∴ (x - 4)(x + 49) = 0

→ Equate each factor by 0

∵ x - 4 = 0  

→ Add 4 to both sides to find x

∴ x = 4

∵ x + 49 = 0

→ Subtract 49 from both sides to find x

∴ x = -49 ⇒ refused it x can not be -ve (no negative dimensions)

∴ The width of the is 4 inches

7 0
2 years ago
The equation P= 21 + 2w models the perimeter, P, of a rectangle with a length of / units and a width of w units.
natima [27]

Answer:

width = 10 units and length = 20 units

Step-by-step explanation:

Let the width be w

so Length will be 2w

using the rectangle formula:

\sf Perimeter \ of \ rectangle= 2L + 2W

\sf 60= 2(2w) + 2w

\sf 60= 4w + 2w

\sf 60= 6w

\sf w = 10 \ units

Find length:

\sf length = 2w

\sf length = 2(10)

\sf length = 20 \ units

5 0
2 years ago
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Multiply<br> 3x( 4x – 3x+5)
Daniel [21]

Answer:

The answer is 3x^(2)+15x

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3 years ago
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The area of the surface of a pool table is 24 square feet. The perimeter is 22 feet. What are the dimensions of the pool table?
trasher [3.6K]

Answer: The dimensions are 8 and 3

Step-by-step explanation:

So 8*3=24 which corresponds with the formula for area l*w= Area

And perimeter means we add up all 4 sides so

8+8+3+3= 22

So the dimensions are 8 and 3

5 0
2 years ago
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