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vladimir2022 [97]
2 years ago
8

Genni has a rectangular garden with a length of 3x+4 and a width of 6x-10.

Mathematics
2 answers:
Mashcka [7]2 years ago
8 0

Answer:

The total perimeter is 3x + 4 + 3x + 4 + 6x - 10 + 6x - 10 = 18x - 12

This means 18x - 12 = 42

18x = 54

x = 3

This means the side lengths are 13 and 8.

The area would be 13 * 8 = 104

Nitella [24]2 years ago
3 0

Answer:

equation in terms of x is 18x - 12

x = 3

area = 104 sq. feet

you want only the ans right?

if you need explaination comment down.

GOOD LUCK FOR THE FUTURE! :)

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valina [46]

Answer:

Step-by-step explanation:

You have 3 unknowns: a, b, and c.  It's our job to find them algebraically.  I'm going to start with the point where x = 0 and y = 7.  You'll see why in a minute.  Filling in the standard form of a quadratic

y=ax^2+bx+c  using (0, 7):

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Now for the next point (-1, 12):

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Now we have a system of equations (the 2 bold font equations) that we will solve by elimination:

 12  =  4a  -  2b

  5  =   a   -    b

Multiply the bottom equation by -4 to get a new system:

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Add those together to get rid of the a terms and end up with

-8 = 2b so

b = -4

Now we can sub in -4 for b to solve for a.  I'm using the second bold type equation to do this:

5 = a - (-4) and

5 = a + 4 so

a = 1 and the equation for the quadratic function is

y=x^2-4x+7

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