Answer:
![y = \pm \sqrt{31.59} = \pm 5.62](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cpm%20%5Csqrt%7B31.59%7D%20%3D%20%5Cpm%205.62)
So we have two points for the solution:
Step-by-step explanation:
For this case have the following equation given:
![x^2 +y^2 = 36](https://tex.z-dn.net/?f=x%5E2%20%2By%5E2%20%3D%2036)
And if we see this equation ahve the general form of a circle given by:
![(x-h)^2 +(y-k)^2 =r^2](https://tex.z-dn.net/?f=%20%28x-h%29%5E2%20%2B%28y-k%29%5E2%20%3Dr%5E2)
Where the center os (0,0) and the readius ![r = \sqrt{36}=6](https://tex.z-dn.net/?f=%20r%20%3D%20%5Csqrt%7B36%7D%3D6)
For this case we have a point given (2.1,y) and we are interested in find the y missing coordinate, so we jjust need to replace the point into the equation and we got:
![2.1^2 + y^2 = 36](https://tex.z-dn.net/?f=%202.1%5E2%20%2B%20y%5E2%20%3D%2036)
Now we can solve for y like this:
![y^2 = 36-2.1^2 =31.59](https://tex.z-dn.net/?f=%20y%5E2%20%3D%2036-2.1%5E2%20%3D31.59)
And now we can take square root on both sids and we got:
![y = \pm \sqrt{31.59} = \pm 5.62](https://tex.z-dn.net/?f=%20y%20%3D%20%5Cpm%20%5Csqrt%7B31.59%7D%20%3D%20%5Cpm%205.62)
So we have two points for the solution:
Answer:
They y axis runs up and down so on the verticle lind where is says -2 plotthe point.
If you dont understand let me know and i will find a way to give your points back
Step-by-step explanation:
Answer:
The answers to this question are 1,2,4,6. Hope this helps you
Step-by-step explanation:
Let the odd no. be X and Y.
Then XY = 783
Since the odd no. are consecutive,
Y = X + 2
i.e X(X+2) = 783
Factorizing
X^2 + 2X = 783
X^2 + 2X -783 = 0
Therefore X = 27 or 29
Thus if X = 27, Y = 29
and if X = 29, Y = 27
Answer:
![p=47](https://tex.z-dn.net/?f=p%3D47)
Step-by-step explanation:
We have been given that when the price of a product is p dollars each, suppose that a manufacturer will supply
units of the product to the market and that consumers will demand to buy
units. We are asked to find the equilibrium.
To find equilibrium, we will equate demand with supply and solve for p as:
![2p+4p-12=270-4p+4p](https://tex.z-dn.net/?f=2p%2B4p-12%3D270-4p%2B4p)
![6p-12=270](https://tex.z-dn.net/?f=6p-12%3D270)
![6p-12+12=270+12](https://tex.z-dn.net/?f=6p-12%2B12%3D270%2B12)
![6p=282](https://tex.z-dn.net/?f=6p%3D282)
![\frac{6p}{6}=\frac{282}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B6p%7D%7B6%7D%3D%5Cfrac%7B282%7D%7B6%7D)
![p=47](https://tex.z-dn.net/?f=p%3D47)
Therefore, when the price of product is $47, then the market is said to be in equilibrium.