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Lilit [14]
3 years ago
11

What does x equal in x= x^2-12x+36

Mathematics
1 answer:
dmitriy555 [2]3 years ago
5 0

Answer:

x=4, x=9

Step-by-step explanation:

If x equals x^2-12x+36, x can equal 4 or 9. You may have to enter both answers.

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Show work
nika2105 [10]
Let's call the distance from the beach to the playground x.
Let's call the distance from the stand to the parking lot z.
Let's call the base of the biggest triangle in the picture (from the parking lot to the left) y.

Recall the pythagorean theorem: the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.

There are three right triangles we can work with.

Triangle with sides 48, x and z. Here z is the hypotenuse so we get the equation x^{2} + 48^{2} = z^{2}

Triangle with sides 27, x and y. Here y is the hypotenuse so we get 27^{2} + x^{2} = y^{2}

Triangle with sides z, y and (48+27). Here (48+27) is the hypotenuse so we get y^{2} + z^{2} = (27+48)^{2}. That is, y^{2} + z^{2} = 5625

We have 3 equations and 3 unknowns (x, y and z). So let's take the last equation: y^{2} + z^{2} = 5625 and replace z^{2} and y^{2} using expressions that contain an expression in terms of x from the first two equations we came up with.

That gives us: 48^{2} + x^{2} + x^{2} + 27^{2} =5625 which we solve for x as follows:

2 x^{2} + 3033 =5625
2x^{2}  =2592
 x^{2} =1296
x=36

Now that we know x we can substitute 36 for x into the equation 48^{2} + x^{2} = z^{2} and solve for z as follows:
48^{2} + 36^{2} = z^{2} 
2304+1296=z^{2} 
3600=z^{2} 
z=60

This means that the distance from the beach to the parking lot is 36 m and the distance from the stand to the parking lot is 60 m.
4 0
3 years ago
Read 2 more answers
A function() is graphed
eduard
Y=mx+b use that formula
6 0
3 years ago
Mr. Thomas purchased a car for $30,000. in 4 years the value of the car decreased to $22,000. Which integer represents the avera
Llana [10]
The change in value over 4 years is
  $22,000 - 30,000 = -$8,000

so the average change in value per year is
  -8000/4 = -2000
4 0
3 years ago
A sumo wrestling ring is circular and has a circumference of 4 . 6 π meters 4.6π meters. What is the area A A of the sumo wrestl
LUCKY_DIMON [66]

Answer:

A=5.29\pi

Step-by-step explanation:

<u>Formula for circumference of a circle is</u>:

Circumference = 2\pi r


<em>Given circumference of the ring is 4.6\pi</em>

<em>Now solving for the radius gives us:</em>

2\pi r=4.6\pi\\r=\frac{4.6\pi}{2\pi}\\r=\frac{4.6}{2}=2.3


We know that area of a circle is \pi  r^2, substituting the value of r we found, we get the area as:

area (A) = \pi r^2\\\pi (2.3)^2\\\pi (5.29)\\=5.29\pi


Hence the Area (A), in terms of \pi is 5.29\pi

5 0
3 years ago
Read 2 more answers
Help. How do you do this?
Oxana [17]

Answer:

x= 2√7

y= 2√7

Step-by-step explanation:

Please see attached picture for full solution.

sin angle= opp/hyp

cosine angle= adj/hyp

6 0
3 years ago
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