Area is length x width so if the dimensions are both 1,
the area is
Answer: $41.24
Step-by-step explanation: In order to figure out how much she is away from 500 we need to first subtract the 65.99.
524.75 - 65.99 = 458.76
Then find the difference from 500 by subtracting again.
500 - 458.76 = 41.24
41.24 is the amount she needs to deposit in order to avoid a fee.
Answer:
![\boxed{\sf \ \ \ answer \ b. \ \ +5 \ \ \ }](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%20%5C%20%5C%20%5C%20answer%20%5C%20b.%20%5C%20%5C%20%2B5%20%5C%20%5C%20%5C%20%7D)
Step-by-step explanation:
Hello
let's assume that we are looking for x >=0
![4x^2=100 \dfrac{4x^2}{4}=x^2=\dfrac{100}{4}=25\\\sqrt{x^2}=25\\ |x| = 5 x = 5 \ or \ x=-5](https://tex.z-dn.net/?f=4x%5E2%3D100%20%3C%3D%3E%20%5Cdfrac%7B4x%5E2%7D%7B4%7D%3Dx%5E2%3D%5Cdfrac%7B100%7D%7B4%7D%3D25%5C%5C%3C%3D%3E%5Csqrt%7Bx%5E2%7D%3D25%5C%5C%3C%3D%3E%20%7Cx%7C%20%3D%205%20%3C%3D%3E%20x%20%3D%205%20%5C%20or%20%5C%20x%3D-5)
Let's assume that we are looking for x>=0
so the correct answer is 5
It should be noted that a polygon that's inscribed in a circle has each vertex on the outer figure.
<h3>What is a polygon?</h3>
It should be noted that a polygon simply means a plane figure that has a finite number of straight line segments.
In this case, a polygon that's inscribed in a circle has each vertex on the outer figure. Also regular polygons can be inscribed in a circle.
Learn more about polygon on:
brainly.com/question/24966296
Answer:
<h2>
![( \frac{13}{2} \:, - \frac{9}{2} )](https://tex.z-dn.net/?f=%28%20%5Cfrac%7B13%7D%7B2%7D%20%20%5C%3A%3C%2Fstrong%3E%3Cstrong%3E%2C%3C%2Fstrong%3E%3Cstrong%3E%20%20-%20%20%5Cfrac%7B9%7D%7B2%7D%20%29)
</h2>
Step-by-step explanation:
![5x + y = 28](https://tex.z-dn.net/?f=5x%20%2B%20y%20%3D%2028)
![x + y = 8](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%208)
Solve the equation for y by moving 'x' to R.H.S and changing its sign
![5x + y = 28](https://tex.z-dn.net/?f=5x%20%2B%20y%20%3D%2028)
![y = 2 - x](https://tex.z-dn.net/?f=y%20%3D%202%20-%20x)
Substitute the given value of y into the equation 5x + y = 28
![5x + 2 - x = 28](https://tex.z-dn.net/?f=5x%20%2B%202%20-%20x%20%3D%2028)
Solve the equation for x
Collect like terms
![4x + 2 = 28](https://tex.z-dn.net/?f=4x%20%2B%202%20%3D%2028)
Move constant to R.H.S and change its sign
![4x = 28 - 2](https://tex.z-dn.net/?f=4x%20%3D%2028%20-%202)
Subtract the numbers
![4x = 26](https://tex.z-dn.net/?f=4x%20%20%3D%2026)
Divide both sides of the equation by 4
![\frac{4x}{4} = \frac{26}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4x%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7B26%7D%7B4%7D%20)
Calculate
![x = \frac{26}{4}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B26%7D%7B4%7D%20)
Reduce the numbers with 2
![x = \frac{13}{2}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B13%7D%7B2%7D%20)
Now, substitute the given value of x into the equation y = 2 - x
![y = 2 - \frac{13}{2}](https://tex.z-dn.net/?f=y%20%3D%202%20-%20%20%5Cfrac%7B13%7D%7B2%7D%20)
Solve the equation for y
![y = - \frac{9}{2}](https://tex.z-dn.net/?f=y%20%3D%20%20-%20%20%5Cfrac%7B9%7D%7B2%7D%20)
The possible solution of the system is the ordered pair ( x , y )
<h2>
![(x \: y) = ( \frac{13}{2} , \: - \frac{9}{2} )](https://tex.z-dn.net/?f=%28x%20%5C%3A%20y%29%20%3D%20%28%20%5Cfrac%7B13%7D%7B2%7D%20%3C%2Fstrong%3E%3Cstrong%3E%2C%3C%2Fstrong%3E%3Cstrong%3E%20%5C%3A%20%20-%20%20%5Cfrac%7B9%7D%7B2%7D%20%29)
</h2>
-------------------------------------------------------------
Let's check if the given ordered pair is the solution of the system of equation:
plug the value of x and y in both equation
![5 \times \frac{13}{2} - \frac{9}{2} = 28](https://tex.z-dn.net/?f=5%20%5Ctimes%20%20%5Cfrac%7B13%7D%7B2%7D%20%20-%20%20%5Cfrac%7B9%7D%7B2%7D%20%20%3D%2028)
![\frac{13}{2} - \frac{9}{2} = 2](https://tex.z-dn.net/?f=%20%5Cfrac%7B13%7D%7B2%7D%20%20-%20%20%5Cfrac%7B9%7D%7B2%7D%20%20%3D%202)
Simplify the equalities
![28 = 28](https://tex.z-dn.net/?f=28%20%3D%2028)
![2 = 2](https://tex.z-dn.net/?f=2%20%3D%202)
Since , all of the equalities are true, the ordered pair is the solution of the system.
![(x \:, y \: ) = ( \frac{13}{2} \: , - \frac{9}{2})](https://tex.z-dn.net/?f=%28x%20%20%5C%3A%3C%2Fstrong%3E%3Cstrong%3E%2C%3C%2Fstrong%3E%3Cstrong%3E%20y%20%5C%3A%20%29%20%3D%20%28%20%5Cfrac%7B13%7D%7B2%7D%20%20%5C%3A%20%3C%2Fstrong%3E%3Cstrong%3E%2C%3C%2Fstrong%3E%3Cstrong%3E%20-%20%20%5Cfrac%7B9%7D%7B2%7D%29%20)
Hope this helps....
Best regards!!