Answer:![\frac{20+5\sqrt[]{3} }{13}](https://tex.z-dn.net/?f=%5Cfrac%7B20%2B5%5Csqrt%5B%5D%7B3%7D%20%7D%7B13%7D)
Step-by-step explanation:
I’ll do an example problem, and I challenge you to do this on your own!
4x+6y=23
7y-8x=5
Solving for y in 4x+6y=23, we can separate the y by subtracting both sides by 4x (addition property of equality), resulting in 6y=23-4x. To make the y separate from everything else, we divide by 6, resulting in (23-4x)/6=y. To solve for x, we can do something similar - subtract 6y from both sides to get 23-6y=4x. Next, divide both sides by 4 to get (23-6y)/4=x.
Since we know that (23-4x)/6=y, we can plug that into 7y-8x=5, resulting in
7*(23-4x)/6-8x=5
= (161-28x)/6-8x
Multiplying both sides by 6, we get 161-28x-48x=30
= 161-76x
Subtracting 161 from both sides, we get -131=-76x. Next, we can divide both sides by -76 to separate the x and get x=131/76. Plugging that into 4x+6y=23, we get 4(131/76)+6y=23. Subtracting 4(131/76) from both sides, we get
6y=23-524/76. Lastly, we can divide both sides by 6 to get y=(23-524/76)/6
Good luck, and feel free to ask any questions!
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Explanation:</h2><h2>
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A circle is simply a curve made up of all the points that are the same distance from the center. This distance is called the radius of the circle. It's important to know that <em>all circles are similar to each other</em>, but what is similarity? It's simply, shapes are similar if we can turn one into the other by moving, rotating, flipping, or scaling. So every circle can match any other circle by moving it, rotating it, flipping it, or scaling it.
Then circles O and Q shown below are similar no matter what's the radii of them.
Answer:
Solve the equation for
x by finding a
, b
, and c of the quadratic then applying the quadratic formula.
Exact Form:
x=
7
+
2
√
5
Decimal Form:
x
=
11.47213595
…
Step-by-step explanation:
Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane. Surface area is its analog on the two-dimensional surface of a three-dimensional object.
The continuous line forming the boundary of a closed geometrical figure is called it's perimeter.
