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ale4655 [162]
3 years ago
13

A table measures x+4 inches long and 5x+12 inches wide. What is the perimeter of the table?

Mathematics
1 answer:
tangare [24]3 years ago
5 0

Answer:

P = 12x +32

Step-by-step explanation:

The perimeter is found by using the formula

P =2(l+w)

We know the length and the width

P = 2(x+4 + 5x+12)

Combine like terms

P = 2(6x+16)

Distribute

P = 12x +32

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which of the following gives an equation of a line that passes through the point (6 over 5, -19 over 5) and is parallel to the l
victus00 [196]
One equation for this would be

y = \frac{41}{16} x-\frac{55}{8}

We start by finding the slope between the two points:

m=\frac{y_2-y_1}{x_2-x_1}=\frac{-12-\frac{-19}{5}}{-2-\frac{6}{5}}
\\
\\=(-12+\frac{19}{5}) \div (-2-\frac{6}{5})
\\
\\=(\frac{-60}{5}+\frac{19}{5}) \div (\frac{-10}{5}-\frac{6}{5})
\\
\\=\frac{-41}{5} \div \frac{-16}{5}=\frac{-41}{5} \times \frac{-5}{16}=\frac{41}{16}

A line parallel to this one will have the same slope.  We will use point-slope form to write our equation:

y-y_1=m(x-x_1)
\\
\\y-\frac{-19}{5}=\frac{41}{16}(x-\frac{6}{5})
\\
\\y+\frac{19}{5}=\frac{41}{16}x- \frac{41}{16} \times \frac{6}{5}
\\
\\y+\frac{19}{5}=\frac{41}{16}x-\frac{246}{80}
\\
\\y+\frac{304}{80}=\frac{41}{16}x-\frac{246}{80}
\\
\\y=\frac{41}{16}x-\frac{246}{80}-\frac{304}{80}
\\
\\y=\frac{41}{16}x-\frac{550}{80}
\\
\\y=\frac{41}{16}x-\frac{55}{8}
6 0
3 years ago
Six times a number is at least -24
lbvjy [14]

Answer: -4

Step-by-step explanation: any positive number times a negative number is negative. 6x(-4) is -24.

4 0
3 years ago
Read 2 more answers
Compare the numbers. Use >, =, or <
lesya692 [45]

Answer:

746.982 > 746.963

68.098 < 68.987

589.987 = 589.987

Step-by-step explanation:

4 0
3 years ago
A polygon has the following coordinates: A(3,1), B(5,3), C(2,5), D(-1,5), E(-4,3), F(-2,1). Find the length of DC.
nlexa [21]

To find the length of a line given two points, we are going to use the distance formula, which is defined below:

D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

((x_1, y_1) and (x_2, y_2) are the two points)


The points in this problem are (2, 5) and (-1, 5). We can find the distance of DC by substituting these values into the distance formula and simplifying, as shown below:

D = \sqrt{(-1 - 2)^2 + (5 - 5)^2

  • Substitute values into formula

D = \sqrt{(-3)^2}

  • Combine like terms and then simplify 0^2 to 0

D = \sqrt{9}

  • Compute (-3)^2 = 9

D = 3

  • Compute \sqrt{9} = 3

The length of DC is 3.

7 0
3 years ago
Is (+11) +(-3)= 8 is this the right answer
aleksandr82 [10.1K]
Yes you see 11-3 is 8 so +11-3=8
6 0
2 years ago
Read 2 more answers
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