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umka2103 [35]
3 years ago
9

The length of a rectangle is 19 feet longer than the width. If the perimeter is 46 feet, write an equation for this scenario

Mathematics
1 answer:
user100 [1]3 years ago
6 0

Answer: The equation shall be

8 = 4W

Step-by-step explanation: The perimeter has been given as 46 feet, whereas the length and the width are not yet given. But the clue we have states that “the length is 19 feet longer than the width,” which means, if the width is W then the length shall be 19 plus W. We can express the dimensions as;

Length = 19 + W

Width = W

We can now express the perimeter as follows;

Perimeter = 2(L + W)

46 = 2(19 + W + W)

46 = 2(19 + 2W)

46 = 38 + 4W

Subtract 38 from both sides of the equation

8 = 4W

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Answer:

x + 7

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If the amount of cats Taylor has is x and Staci has 7 more cats you are basically adding 7

so since The amount of Taylor's cats are x and you are adding 7 it would be written as

x+7

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3 years ago
Solve the equation<br> 6.7x = 5.2x + 12.3
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Answer:

x = 8.2

Step-by-step explanation:

6.7x = 5.2x + 12.3

6.7x - 5.2x = 12.3

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What is the equation of the quadratic function y= x^2+24x+29 in vertex form?
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bogdanovich [222]

Answer:

\displaystyle y = -   \frac{1}{2} x  - 3

Step-by-step explanation:

we are given a line

we want to figure out the equation of theline remember the slope-intercept form of linear equation:

\displaystyle y = mx + b

where:

  • m is the slope of the equation
  • b is y-intercept

from the graph we can clearly see that the line passes y-intercept at <u>(</u><u>0</u><u>,</u><u>-</u><u>3</u><u>)</u> point therefore b is <em>-</em><em>3</em>

to figure out m we can consider the following formula:

\displaystyle m =   \frac{ y_{2} -  y_{1}}{ x_{2} -  x_{1}}

from the graph we obtain:(0,-3),(2,-4)

\displaystyle m =   \frac{  - 4 - ( - 3)}{ 2 - 0}

simplify substraction:

\displaystyle m =    - \frac{   1}{ 2 }

now altogether substitute:

\displaystyle y = -   \frac{1}{2} x  - 3

and we are done!

3 0
3 years ago
Read 2 more answers
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