Answer:
the answer is B (2,1)
Step-by-step explanation:
Given the simultaneous equation
![2x+3y=7 .....1\\x+y=3 ..........2\\](https://tex.z-dn.net/?f=2x%2B3y%3D7%20.....1%5C%5Cx%2By%3D3%20..........2%5C%5C)
Using substitution method
from equation 2 :
![x=3-y ....3](https://tex.z-dn.net/?f=x%3D3-y%20....3)
Substitute equation 3 into 1:
![2(3-y)+3y=7](https://tex.z-dn.net/?f=2%283-y%29%2B3y%3D7)
Open the bracket
![2(3)-2y+3y=7\\6-2y+3y=7\\6+y=7\\y=7-6\\y=1](https://tex.z-dn.net/?f=2%283%29-2y%2B3y%3D7%5C%5C6-2y%2B3y%3D7%5C%5C6%2By%3D7%5C%5Cy%3D7-6%5C%5Cy%3D1)
Substitute y=1 into x=3-y
![x=3-1\\x=2](https://tex.z-dn.net/?f=x%3D3-1%5C%5Cx%3D2)
Hence the solution to the equation is (2,1)
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Answer:
x=3/2y-6
Step-by-step explanation:
3y=2x=12
-3y -3y
-2x=-3y+12
^divided by -2 on both sides
x=3/2y-6
Answer:
(- 5.5 , 0) is the center
Step-by-step explanation:
center ( h, k)
Circle: (x-h)² + (y-k)² = r²
x² + y² + 11x + 18= 0
(x² + 11x + 5.5²) + (y - 0)² = 5.5² - 18
(x + 5.5)² + (y - 0)² = 12.25
(x - (-5.5))² + (y - 0)² = 3.5²
h = -5.5 K = 0 r = 3.5
They are both 40°. This is bc 180-65-75=40
Answer:
The restrictions will be:
x ≠ 0;
x² ≠ 0 ⇒ x ≠ 0 ;
5x² ≠ 0 ⇒ x² ≠ 0 ⇒ x ≠ 0;
Step-by-step explanation:
As we know that
There are two genuine reasons why domains are restricted.
We cannot divide the expression by 0 as it would be undefined then.
We cannot take the square root of a negative number, as the result will not be a defined.
Considering the expression
![\frac{4}{x}+\frac{1}{x^2}=\frac{1}{5x^2}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7Bx%7D%2B%5Cfrac%7B1%7D%7Bx%5E2%7D%3D%5Cfrac%7B1%7D%7B5x%5E2%7D)
As we can not put x = 0 in the denominator as it would make the expression undefined.
In other words, the certain values which make the denominator equal to zero for a rational expression will be restricted values.
Hence, the restrictions will be:
x ≠ 0;
x² ≠ 0 ⇒ x ≠ 0 ;
5x² ≠ 0 ⇒ x² ≠ 0 ⇒ x ≠ 0;