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3 years ago

Final question! Thanks to everyone who has helped!

Mathematics

2 answers:

Gala2k [10]3 years ago

6 0

x = 4

4x=16

4x/4 = 16/4

x = 4

WINSTONCH [101]3 years ago

5 0

Answer:

x = 4

Step-by-step explanation:

11x - 7x = 16

11x - 7x = 4x

16 divided by 4 = 4x

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PLEASE HELP PRE CAL!!

Len [333]

Answer:

Width = 2x²

Length = 7x² + 3

Step-by-step explanation:

∵ The area of a rectangle is $14x^{4}+6x^{2}$

∵ Its width is the greatest common monomial factor of $14x^{4}$ and 6x²

- Let us find the greatest common factor of 14 , 6 and $x^{4}$ , x²

∵ The factors of 14 are 1, 2, 7, 14

∵ The factors of 6 are 1, 2, 3, 6

∵ The common factors of 14 and 6 are 1, 2

∵ The greatest one is 2

∴ The greatest common factor of 14 and 6 is 2

- The greatest common factor of monomials is the variable with

the smallest power

∴ The greatest common factor of $x^{4}$ and x² is x²

∴ The greatest common monomial factor of $14x^{4}$ and 6x² is 2x²

∴ The width of the rectangle is 2x²

To find the length divide the area by the width

∵ The area = $14x^{4}+6x^{2}$

∵ The width = 2x²

∴ The length = ( $14x^{4}+6x^{2}$ ) ÷ (2x²)

∵ $14x^{4}$ ÷ 2x² = 7x²

∵ 6x² ÷ 2x² = 3

∴ ( $14x^{4}+6x^{2}$ ) ÷ (2x²) = 7x² + 3

∴ The length of the rectangle is 7x² + 3

8 0

3 years ago

What will you choose for me

wlad13 [49]

Answer: grey-

blue-

yellow

Step-by-step explanation:

6 0

2 years ago

What is the perimeter of a polygon with vertices at (−2, 1) , (−2, 4) , (2, 7) , (6, 4) , and (6, 1) ?

alekssr [168]

First we need the distances of the sides of the polygon, because perimeter = sum of all sides.
$d = \sqrt{{(y2 - y1)}^{2} + {(x2 - x1)}^{2} }$
$d1 = \sqrt{{(1 - 4)}^{2} + {( - 2 - - 2)}^{2} } \\ = \sqrt{{(- 3)}^{2} + {(0)}^{2} } = \sqrt{9} \: = 3$
$d2 = \sqrt{{(4 - 7)}^{2} + {( - 2 - 2)}^{2} } \\ = \sqrt{{(- 3)}^{2} + {( -4)}^{2} } = \sqrt{9 + 16} \\ = \sqrt{25} \: = 5$
$d3 \: = \sqrt{{(7 - 4)}^{2} + {(2 - 6)}^{2} } \\ = \sqrt{{(3)}^{2} + {( - 4)}^{2} } = \sqrt{9 + 16} \\ = \sqrt{25} \: = 5$
$d4 = \sqrt{{(4 - 1)}^{2} + {(6 - 6)}^{2} } \\ = \sqrt{ {(3)}^{2} + {(0)}^{2} } = \sqrt{9} \: = 3$
$d5 = \sqrt{{(1 - 1)}^{2} + {(-2 - 6)}^{2} } \\ = \sqrt{ {(0)}^{2} + {( - 4)}^{2}} = \sqrt{16} \: = 4$
Now, we add all sides for the perimeter:
p = d1 + d2 + d3 + d4 + d5
p = 3+5+5+3+4 = 20 units

5 0

3 years ago

Read 2 more answers

Just help me on 6 and 7 please

TEA [102]

6) 9/4 divided by 5/8
9/4x5/8
9x8/4x5
72/4/5
72/20
18/5
Answer: 18/5

7) 2 1/2 divided by 4 1/2
2x2+1/2 divided by 4 1/2
4+1/2 divided by 4 1/2
5/2 divided by 4 1/2
5/2 divided by 8+1/2
5/2 divided by 9/2
5/2x9/2
5/2x2/9
5x1/9
5/9
Answer: 5/9

4 0

2 years ago

Read 2 more answers

PLS HELP WITH THIS ANSWER!!! AND ASAP PLS DONT ANSWER WRONG!!

VMariaS [17]

I got you- The answer is (B. 4) hope this helps, if you need me to explain ask in the comments. Have a good day/night:)

5 0

3 years ago